Answer:
47.9°
Step-by-step explanation:
complementary angles are two angles that add up to 90° [90 degrees]
so, we can find the complementary angle of 42.1 by finding what angle it needs to add up to 90
we can use subtraction to find this value:
90 - 42.1 = 47.9
So, the complementary angle to the angle 42.1° has a measure of 47.9°
hope this helps, have a lovely day!! :)
You need to know that two angles are complementary when they are equal to 90°. If you want to find the complement of an angle, and you have one of the angle measures, you need to subtract it from 90°. You have an angle measure of 42.1°. This will be the number you subtract.
⇢ 90° - 42.1°
⇢ 47.9
Find the area of sphere of radius 4 cm
15 rounded to the nearest whole number
Answer:
15 rounded to the nearest whole number is 15 since it’s already a whole number.-
Step-by-step explanation:
Type the expression that results from the following series of
steps:
Start with n, divide by m, then subtract p.
Answer:
(n/m) - p
Step-by-step explanation:
Image attached
Mo travels 30 miles in 45
minutes.
He then travels 18 miles in 30
minutes.
Calculate his average speed.
Answer:
38.4 miles per hour
Step-by-step explanation:
30 miles in 45 minutes
18 miles in 30 minutes
Average speed = total distance / total time
= (30+18) / ( 45 min + 30 min)
= 48 miles / ( 1.25 hr ) = 38.4 miles per hour
can someone please help me with this problem?
In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle RST is congruent to triangle RSQ given that RS ⊥ ST, RS ⊥ SQ, and ∠STR ≅ ∠SQR.
1) [tex]\overline{RS} \perp \overline{ST}, \overline{RS} \perp \overline{SQ}, \angle STR \cong \angle SQR[/tex] (given)
2) [tex]\overline{RS} \cong \overline{RS}[/tex] (reflexive property)
3) [tex]\angle RST[/tex] and [tex]\angle RSQ[/tex] are right angles (perpendicular lines form right angles)
4) [tex]\triangle RST \cong \triangle RSQ[/tex] (AAS)
Uhhhhhh????????????!
Answer:
2y + 3 = 4y + 2; y = 1/2
Step-by-step explanation:
to find this equation we can use the ys and the 1s to create an equation
so
in the left side
there are 2 ys and 3 1s
your equation is
2y + 3
on the other side
it is
4 ys and 2 1s
so
4y + 2 is your equation
then yo uset them equal to each other
2y + 3 = 4y + 2
if you must solve
subtract 2y and 2 from both sides
1 = 2y
then divide both sides by 2
y = 1/2 is your answer
What is the probability of
spinning an A?
B
B
A
B
C
A
[?]%
C
Answer:
25%
Step-by-step explanation:
when we count, we know that there are 8 possible outcomes as to where the spinner will land.
{the following will be assuming each section has an equal chance of being landed on; that the spinner is not weighted}
We know that two of these 8 possibilities are "A"
This means that A has a 2/8 chance of being landed on
we can simplify 2/8 to 1/4; because they are equivalent ratios/fractions
to calculate percentage, we can follow through with our equation of 1/4
[divide 1 by 4]
1 / 4 = 0.25
We multiply this number by 100 to find percentage,
0.25 × 100 = 25
meaning that A has a 25% chance of being spun
hope this helps!! have a lovely day :)
Answer:
25%
Step-by-step explanation:
2 / 8 = 0.25
0.25 = 25%
What is the perimeter of square abcd? startroot 37 endroot units 4 startroot 37 endroot units 28 units 37 units
Answer:
Step-by-step explanation:
All you have to do is add the four sides together and that should be your answer.
(B.) 4√37 units
Good luck! Please rate if this helped! <3
State true or false. (i) Cube of any odd number is even. F (ii) A perfect cube does not end with two zeros.T (iii) If square of a number ends with 5, then its cube ends with 25. F (iv) There is no perfect cube which ends with 8. F (v) The cube of a two digit number may be a three digit number. F (vi) The cube of a two digit number may have seven or more digits. (vii) The cube of a single digit number may be a single digit number. T
Give reasons why
i. Cube of any odd number is even. False
ii. A perfect cube does not end with two zeros. True
iii. If square of a number ends with 5, then its cube ends with 25. False
iv. There is no perfect cube which ends with 8. False
v. The cube of a two digit number may be a three digit number. False
vi. The cube of a two digit number may have seven or more digits. False
vii. The cube of a single digit number may be a single digit number. True
Reasons
i. Cube of any odd number is even. This statement is false because the cube of odd numbers are also odd
ii. A perfect cube does not end with two zeros. This statement is True because the cube of a two digit number cannot be a 3 digit number and therefore cannot end with two zeros.
iii. If square of a number ends with 5, then its cube ends with 25. This statement is False
Using the illustration
35^2 = 35 x 35= 1225 , its square ends with 5
35^3= 35 x 35 x 35= 42875 which ends with 75
iv. There is no perfect cube which ends with 8. This statement is False.
Using the illustration, the cube of 2 is given thus
2 * 2 * 2 = 8
The cube of 2 ends with 8
v. The cube of a two digit number may be a three digit number. This statement is False.
Using the illustration, 10 is a two digit number
10 * 10 * 10 = 1000
The cube of 10 which is a two digit number is not a three digit number and same applies to all two digit numbers
vi The cube of a two digit number may have seven or more digits. This statement is False because the cube of a two digit number can only be a four digit number.
vii. The cube of a single digit number may be a single digit number. This statement is True because the cube of a single digit number can be a single, two or three digit number.
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Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions are to use 34.5 inches of the rope to tie a tarp on top of the tent. then, the remaining rope should be cut into 8 1/4 - inch sections to tie the tent to stakes in the ground. Mario will use all of the rope as instructed. write and solve n equation to determine the number of 8 1/4 - inch sections of rope Mario can cut from the rope
An equation is formed of two equal expressions. The number of sections that Mario can cut from the rope is 6.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of 8 1/4 - inch sections of rope Mario can cut from the rope be x.
Since the total length of the rope is 7 feet, which is equal to 84 inches(1 foot=12 inches), the instructions are to use 34.5 inches of the rope to tie a tarp on top of the tent. Therefore, the rope for the 8 1/4 inches section is,
Rope left = 84 inches - 34.5 inches
Since the length of a single section is 8 1/4 inches(8.25 inches), therefore the number of sections that can be made from the remaining section is,
The number of sections, n = Rope left/8.25 inches
= (84 -34.5)inches /8.25 inches
= 6
Hence, the number of sections that Mario can cut from the rope is 6.
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A quarter weighs the same as two pennies. If a pound of quarters is worth $25, then how much is a pound of pennies worth?
Answer:
$2
Step by Step:
Four quarters is one dollar
Four quarters is 8 pennies
Multiply 8 by 25 (25 being the value of the quarters)
25 cents is times four is one dollar
.25x4=1, 25x4=100, 100x.25=25
2x4=8 8x25=200
A pound of pennies is worth $12.5.
What is Multiplication?In mathematics, multiplication is one of the basic operations where one number is multiplied or added repeatedly to itself as times as that of the other number. Multiplication of two numbers a and b is represented as "a × b", read as a multiplied to b or a times b.
For example 2 multiplied to 4 implies that 2 is added to itself like 4 times (2+2+2+2) or 4 is added to itself 2 times (4+4).
We have from the question,
1 quarter = 2 pennies
Also, it is given that,
A pound of quarters = $25
Since 1 quarters = 2 pennies, we have,
A pound of 2 pennies = $25
A pound of 1 penny = 25 / 2
= 12.5
Hence we have a pound of pennies worth $12.5.
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b) The unit digit of a two-digit number is 1 less that the tens digit. If the number is increased by 8 and then divided by the sum of the digit, the result is 8. Find the number b ) The unit digit of a two - digit number is 1 less that the tens digit . If the number is increased by 8 and then divided by the sum of the digit , the result is 8. Find the number.
Answer:
The number is 32
Explanation :
Let the 2 number digit be 10x + z
Solution:
X-z=1
(10x+z+8) / (x+z) =8
10x+z+8=8x+8z
2x-7z-(2x-2z)=-8-2
-5=-10
Z = 10/5
Z =2
X=1+2
X=3
10×3+2 = 30 +2 = 32
The answer is 32
35/40 reducing fractions
Answer: 7/8
What you have to do here is to find the highest number which can be divided by both. Or you have to divide both the numerator and denominator until it can not be divided by any number anymore. You can do this by finding the highest common factor (HCF) of both the number, 35 and 40.
Highest Common Factor: HCF of two or more numbers is the greatest factor that divides the numbers. For example, 2 is the HCF of 4 and 6.
So, the highest number which divides 35 and 40, is 5. Now 35 divided by 5 is 7 and 40 divided by 5 is 8. The final answer is 7/8 and there is no more numbers which can divide both of them by a specific number.
∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
hope it helped
┗━━━━━━━┛
2 years ago, father age was nine times the son age but 3 years later it will be 5 times only. find the present ages of the father and son
Answer:
The Father is currently 47 and the Son is 7
Step-by-step explanation:
Let F and S be the present ages of Father and Son, respectively.
We are told that (F-2) = 9(S-2) [2 years ago, father age was nine times the son age]
We also learn that (F+3) = 5(S+3) [3 years later it will be 5 times only]
Take the first expression and isolate one of the variables (S or F). I'll isolate F:
(F-2) = 9(S-2)
F = 9S - 16
Now use this in the second expression:
(F+3) = 5(S+3)
((9S-16)+3) = 5(S+3)
9S-13 = 5S+15
4S = 28
S = 7
Since F = 9S-16,
F = 9*(7)-16
F = 47
Father is 47 and Son is 7
CHECK:
Was the father 9 times the age of his son 2 years ago?
Father would have been 45 and son 5. Yes, 9*5 = 45
In 3 years will he be 5 times older than his son? Yes, Father would be 50 and son would be 10. 5*(10) = 50
Solve for the value of x:-
4x+3(x-1)=67
Answer:
x = 10
Step-by-step explanation:
4x + 3(x - 1) = 67 ← distribute parenthesis and simplify left side
4x + 3x - 3 = 67
7x - 3 = 67 ( add 3 to both sides )
7x = 70 ( divide both sides by 7 )
x = 10
Hi. . .
✦•···················•✦•···················•✦
A n s w e r : -[tex]\boxed{\fbox{\huge{x = 10}}}[/tex]
E x p l a n a t i o n :Let's solve your equation step-by-step ~
➳ Step 1: Simplify both sides of the equation.
[tex]\sf{4x \: + \: 3(x \: - \: 1) = 67}[/tex]
[tex]\sf{4x \: + \: (3)(x) \: + \: (3)(-1) = 67} \: (Distribute)[/tex]
[tex]\sf{4x \: + \: 3x \: + \: -3 = 67}[/tex]
[tex]\sf{(4x \: + \: 3x) \: + \: (-3) = 67} \: (Combine \: like \: terms)[/tex]
[tex]\sf{7x \: + \: 7 \: -3 = 67}[/tex]
[tex]\sf{7x \: - \: 3 = 67}[/tex]
➺ Step 2: Add 3 to both sides.[tex]\sf{7x \: - \: 3 \: + \: 3 = 67 \: + 3}[/tex]
[tex]\sf{7x = 70}[/tex]
➽ Step 3: Divide both sides by 7.[tex]\sf{\frac{7x}{7} = \frac{70}{7}[/tex]
[tex]\boxed{\fbox{\huge{x = 10}}}[/tex]
Hope It Helps...
im really stuck on this one
Answer:
See below
Step-by-step explanation:
The first one IS decay...as 'x' increases the function decreases
the second and third are NOT ...as 'x' increases the value increases
radioactive decay IS decay (obviously)
the one with e^2x is not ....it grows exponentially as x grows
and finally the last one is decay because as x gets larger the value of y gets smaller
The graph of a function f(x) is shown. What is the value of f(-2)?
Answer:
f(-2) = 0
Step-by-step explanation:
The value of the function for a particular x-value can be read from the graph.
GraphThe graph is a map showing the value of f(x) for each value of x for which the function is defined. The x-values are identified by the numbers on the horizontal x-axis. The corresponding function values are found by referencing the vertical y-axis.
Function valueTo find the function value f(x) for x=-2, we locate the vertical grid line marked with -2 at the x-axis. We then locate the point on the graph of the function where it crosses that vertical grid line. Tracking horizontally from that point to the vertical y-axis, we can read the function value from the vertical scale.
The attachment has a red arrow pointing to the intersection of the graph with the grid line x=-2. That point of intersection lies on the x-axis, where the y-value is 0. That means ...
f(-2) = 0
__
Additional comment
On this graph, the axis crossing point (x=0, y=0) is not labeled. It is halfway between x=-1 and x=1. Similarly, it is halfway between y=-1 and y=1. Based on this and on experience with similar graphs, you can assume that the axis crossing has coordinates (x, y) = (0, 0).
Choose the correct simplification of the expression (2x7y)2(y5)3.
The correct simplification of the expression is 4x¹⁴y¹⁷
Given,
The expression is (2x⁷ y)² (y⁵)³
To distribute the exponent, apply the power rule (ab)ⁿ = aⁿbⁿ
Implement the product rule to (2x⁷y)².
Here, we have a = 2x⁷ , b = y and n = 2
=(2x⁷)² y²(y⁵)³
= 2²(x⁷)² y²(y⁵)³
= 4(x⁷)² y²(y⁵)³
Now exponents should be multiplied while using the product rule.
The product rule is (aˣ)ⁿ = aˣⁿ
We apply this to (x⁷)² and (y⁵)³
So the expression becomes,
=4x⁷·² y² (y⁵·³)
= 4x¹⁴ y² y¹⁵
∵ In exponents we have a rule that if bases are same then powers are added i.e, aˣ aⁿ = aˣ⁺ⁿ
∴ 4x¹⁴ y¹⁵ ⁺ ²
= 4x¹⁴ y¹⁷
Hence we get the answer as 4x¹⁴ y¹⁷
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Will you do the hard questions
Answer:
No
Step-by-step explanation:
I will not do hard questions
Question 1(Multiple Choice Worth 4 points)
(02.02) The figure shows the letter Z and four of its transformed images-A, B, C, and D:
Z.
B
6-
5-
3-
2-
n
The figure that shows the reflection of the letter Z is C
Complete questionThe figure shows the letter Z and four of its transformed images—A, B, C, and D
Which of the four images was formed by a reflection of the letter Z?
A B C D
How to determine the reflection of Z?From the graph, see attachment, we have the following highlights:
The letter Z is in the second quadrant.
Also, B and D are letter Z.
So, they cannot represent the reflection
When reflected across the x-axis, the reflection is C
Hence, the figure that shows the reflection of the letter Z is C
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please help asappp!!!
Answer:
0
y = 2
Step-by-step explanation:
Since it's a flat line, the slope is 0.
Since all of the points have a y-value of 2, the equation is y = 2.
Answer:
Slope = 0
Equation: y = 2
Step-by-step explanation:
PQ is parallel to x-axis. Slope of the line parallel to x-axis = 0.
Slope of diagonal PQ = 0
Equation of line parallel to x-axis : y = a
Equation of diagonal PQ: y = 2 or y -2 = 0
Fred's garage has a leaky roof. There are 24 holes in the roof. If it costs $124 to fix each hole, how much will it cost to fix all of the holes?
A. Subtract 24 from 124
B. Multiply 24 by 124
C. Add 124 to 24
D. Divide 124 by 24
need how to do this anyyonnneeeehr
the total area of the figure A = 144.5 cm²
How to find the area?
First, the area of a rectangle of length L and width W is:
A = W*L
Here we have:
L = 13cm
W = 9cm
Then the area is:
A = 9cm*13cm = 117 cm²
For a triangle of height H and base B, the area is:
A = B*H/2
Here the base measures 11cm, and the height is:
H = 13cm - 8cm = 5cm
So the area of the triangle is:
A= 5cm*11cm/2 = 27.5cm²
Then the total area of the figure is:
area = 27.5cm² + 117 cm² = 144.5 cm²
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Given f(x) = (x - 1)(x + 2)(x − 3), what are the zeros and end behavior of the function?
A function assigns the value of each element of one set to the other specific element of another set. The zeroes of the functions are -2, 1, and 3.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given f(x) = (x - 1)(x + 2)(x − 3), therefore, the zeroes of the functions are -2, 1, and 3. The end behavior of the function is that if x approaches ∞ then f(x) approaches ∞, while if x approaches -∞ then f(x) approaches -∞, as can be observed from the given graph.
Hence, the zeroes of the functions are -2, 1, and 3.
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Answer:
−1, 2, −3; continues downward to the left and upward to the right
Step-by-step explanation:
Convert 15 degree Celsius into Fahrenheit
Answer:
59 ° F
Step-by-step explanation:
F = 9/5 C + 32
= 9/5 (15) + 32 = 59 ° F
does this table represent a function? yes or no
Answer:
D
Step-by-step explanation:
The table does not represent a function because their are two x values with the same y value.
Answer:
C. No, one x --- two different y's
Step-by-step explanation:
In order to be a function, every x can have only one y partnered with it. So if the function is written in this two-column format, if no x's repeat, you can say it is a function. If an x does repeat, it MUST have they same y both times. Here 2 repeats in the x column, but at first it is with 1 and in the next row it is with 4. Can't have that! So this is not a function!
(Btw, it doesn't matter at all the 4 repeats in the y-column nor that it is paired with different x's. Doesn't matter. Not a thing)
sin(90° - x) = sqrt3/2
The area of a rectangle is represented by the expression 6x³y5. Which of the following could be the
dimensions of the rectangle?
The length and width of the rectangle are: [tex]2x^2y^2 , 3xy^3[/tex]
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
The area of a rectangle is represented by the expression [tex]6x^3y^5[/tex].
The area of the rectangle = [tex]2x^2y^2 \times 3xy^3[/tex]
= [tex]6x^3y^5[/tex]
So, the length and width of the rectangle are: [tex]2x^2y^2 , 3xy^3[/tex]
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What is the slope of this line? 4 34 −34 −3 Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 4 comma negative 1 end ordered pair
The required slope of the line given by m = -3/4.
The slope of the given y = -3/4x+2 is m, the line passes from (0, 2) and (4, -1)
A line can be defined by a shortest distance between two points is called as a line.
equation of the given line is |
y =[tex]\frac{-3}{4}[/tex]x + 2
slope of the given line is given by comparing it to standard equation
y = mx + c
by comparing
m= -3/4
Which required slope of the line.
Since we have two points on line begin or end point (0, 2) and (4, -1) respectively. This satisfies the equation while putting it into the equation.
Thus the required slope of line y =[tex]\frac{-3}{4}[/tex]x + 2is given by m= -3/4 , This line passes through points (0, 2) and (4, -1).
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