Answer:
A
Step-by-step explanation:
Use the Pythagorean Theorem: a^2 + b^2 = c^2
The cable will be the hypotenuse, so c = 11.3 m
One leg is the distance of the anchor, so a = 4.2 m
(4.2)^2 + b^2 = (11.3)^2
17.64 + b^2 = 127.69
Subtract 17.64 from both sides
b^2 = 110.05
Square root both sides
b = ~10.5 m
16. Out of 119 student, it was found that 16 drink neither coke nor pepsi, 69 drinks coke and 39 drink pepsi. Then a) Show the above information in Venn diagram. b) Find the number of students who drink only one drink.
Step-by-step explanation:
Let U=universal set
C=students who drink coke
P = students who drink pepsi
What’s the answer? I don’t know how I got it wrong
Answer:
C. Line PQ
Step-by-step explanation:
Tangent means touching, not crossing.
Which is the equation of a line that has a slope of 1/2and passes through point (2, -3)?
Answer:
y = 1/2 x - 4
Step-by-step explanation:
point slope form would be
( y - - 3) = 1/2 (x-2) you can re-arrange as
y = 1/2x -4
Sterling silver is 92.5% pure silver. How many grams of a 90% silver alloy would you need in order to mix it with sterling silver to obtain 500 grams of a 91% silver alloy.
200 grams of sterling silver is needed to make the 91℅ alloy
An equation is mathematical expression that contains an equals symbol. Equations are contain algebra. Algebra is used in maths when you do not know the exact number in a calculation.
given, x + y =500
The number of grams of pure silver in x plus the number of grams of pure silver in y is equal to the number of grams of pure silver in the 500 grams.
The pure silver is given in percentage forms.
Hence, 92.5% (x) + 90% (y) =91% (500)
Substitute y by 500−x in the last equation to write
92.5% (x) + 90% (500−x) =91% (500)
Simplify and solve
92.5x+45000−90x=45500
x=200 grams.
Hence, 200 grams of Sterling Silver is needed to make the 91% alloy.
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A line that includes the point (0, 6) has a slope of 1/3. What is its equation in slope-intercept
form?
Answer:
y=⅓x+b
Step-by-step explanation:
So basically the formula of slope-intercept is:
y=mx+b
and m=⅓
so
y=⅓x+b and it includes the point (0, 6) so:
6=⅓(0)+b===> b=6===> y=⅓x+6
Which parent function is represented by the graph?
Answer:
Linear
Step-by-step explanation:
pretty self explanatory
Answer:
The linear parent function Step-by-step
Step-by-step explanation:
Linear functions are always characterized by a straight line graph with or without an intercept on the vertical or horizontal axis. A linear function usually has an independent variable and a dependent variable.
Hope your having a great day!!
Help me please asapp
ED and AC are congruent
Write Statement as:
AB*BC=EB*BD
8(4x+2)=9(4x)
32x+16=36x
16=4x
4=x
Hope it helps!
18-(7+3)-1 simplified
Answer:
18-10-1
7
Step-by-step explanation:
please mark me as brainlest
Answer:
18-7+3-1
18-10-1
18-11
+7 or 7
Step-by-step explanation:
we have first done of bracket
then as we know minus and minus is equal to plus
then we have done our solution
thank you
Find the area for a triangle that has a base of 24 inches and a height of 4 inches. 96 in 2 48 in 2 cannot be determined 28 in 2
Answer:
48 in²
Step-by-step explanation:
triangle = bh/2
triangle = 24 x 4 / 2
triangle = 48 in²
PLS HELP ME OUT THANK YOU I’m studying for my mid-term!!
Answer:
∠ ABD = 20°
Step-by-step explanation:
since BD bisects ∠ ABC , then
∠ ABD = ∠ CBD ( substitute values )
3x - 1 = 34 - 2x ( add 2x to both sides )
5x - 1 = 34 ( add 1 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
Then
∠ ABD = 3x - 1 = 3(7) - 1 = 21 - 1 = 20°
What is the slope of a line that is perpendicular to the line y = x 4? the slope of the line is .
Answer:-1/4
Step-by-step explanation:
Take the negative of the reciprocal for perpendicular lines. In the case of no slope (y=number) replace y with x
tony invest 2000 at a 4.5 percent rate.
Answer:
$2,999
Step-by-step explanation:
A = P(1 + r) ^ tA = 2000(1 + .045) ^ 9A ≈ 2999Graph the result of the following transformation on f(x)
The graph would be the normal parent function of f(x) but all points would be 6 units up.
There's an upward vertical shift of 6. To graph this, you need to graph the function f(x) and then add 6 units to all the y values.
The quotient of 8.4 times 10 Superscript 9 and a number n results in 5.6 times 10 Superscript 27. What is the value of n?
The value of the number n as 1.5 * [tex]10^{-18}[/tex].
What is power?
A power is the product of multiplying a number by itself.
(8.4*[tex]10^{9} \\[/tex])/n = (5.6* [tex]10^{27}[/tex])
n= (5.6* [tex]10^{27}[/tex]) / (8.4*[tex]10^{9} \\[/tex])
n= 1.5 * [tex]10^{-18}[/tex]
Hence, the value of n is n= 1.5 * [tex]10^{-18}[/tex]
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Clare has a recipe for yellow cake. She uses 9 1/3 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c cakes using f cups for flour.
Which of these equations represent the relationship between c and f ?
A. c = 7/3f
B. c = 3/16f
C. c = 16/3f
D. c = 3/7f
The correct answer is option A which is the equations which represent relationship between c and f is c = 7 / 3f.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division
Given that:-
Clare has a recipe for yellow cake. She uses 9 1/3 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c cakes using f cups for flour.From the given data we can see that the amount of flour required is [tex]9\dfrac{1}{3}\[/tex] Cups or [tex]\dfrac{28}{3}[/tex] Cups for making 4 cakes.
So the expression will be written as:-
[tex]9\dfrac{1}{3}f = 4c[/tex]
[tex]\dfrac{28}{3\\}f = 4c[/tex]
[tex]c = \dfrac{28}{3\times 4}f[/tex]
c = [tex]\dfrac{7}{3}[/tex]f
Therefore the correct answer is option A which is the equation that represents the relationship between c and f is c = 7 / 3f.
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Point-Slope Form
*See photo*
Answer:
y = 3x - 5
Step-by-step explanation:
We know that the equation 'y = 3x + ?' intersects the point (1, -2). This means that when x = 1, y = -2 in out equation above. To solve this just plug in the x and y values to get '?'.
[tex]y = 3x + ?\\-2 = 3(1) + ?\\-5 = ?[/tex]
Now that we know '?' is -5, we write it back into slope intercept form, so our final answer is y = 3x - 5
The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.
800 grams =
pounds
700 grams =
pounds
The weight of the full steel bead tire in pounds is 1.76 pounds
The weight of the lighter steel bead tire in pounds is 1.54 pounds.
What are the weights of the tires?Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.
The weight of the full steel bead tire in pounds = 800 / 453.592 = 1.76
The weight of the lighter steel bead tire in pounds = 700 / 453.592 = 1.54
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heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answer:
The answer is option 3 and option 4
Step-by-step explanation:
A quadrilateral has three congruent sides. Each of the congruent sides is 5 cm shorter than the forth side. If the quadrilateral has a perimeter of 33 cm, find the length of the longest side
The length of the three congruent sides is 7 cm and the fourth side length is 12cm.
Given quadrilateral has three congruent sides and perimeter of quadrilateral is 33 cm.
A quadrilateral can be expressed as ABCD and three congruent sides are AB, BC, CD and the fourth side is AD.
Let AD=x
then AB=BC=CD=x-5
This means if all the sides of a quadrilateral are known, we can get its perimeter by adding all its sides.
So, Perimeter = AB + BC + CD + DA.
Substitute values
(x-5)+(x-5)+(x-5)+x=33
4x-15=33
4x= 48
x=12
Hence the fourth side length is 12cm and the other sides are 7 cm longer.
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Mixed Practice! Find the value of each variable
I need 16, 17 and 18
Answer:
Step-by-step explanation:
The circle below is centered at the origin and has a radius of 7. What is its
equation?
A ²+2²=7
B. x²-y²=7
C. x²-²2²=49A
D. x² + y² = 49
Answer:
x² + y² = 49
Step-by-step explanation:
The equation for a circle is: x² + y² = r²
here, we know our circle's radius (r) to be 7
So, the equation for our circle is: {replace "r" with value}
x² + y² = 7²
which can be simplified to:
x² + y² = 49
hope this helps!! have a lovely day :)
Identify two angles that are marked
congruent to each other on the diagram
below. (Diagram is not to scale.)
Answer:
Angles G and H are congruent.
Step-by-step explanation:
The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5million. In which year is the maximum salary reached...... How much money would the person earn in that time
The maximum salary reached in 5th month.
What is Arithmetic Progression?
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant
For the first year, salary = 1,200,000
For the second year, salary
= 1,200,000 + 75,000 = 1,275,000
For the last year, salary = 1,500,000
We get the AP as
1,200,000, 1,275,000, .... , 1,500,000
a= 1,200,000 and d = 75000
Now using
L = a + (n - 1)d
1,500,000 = 1,200,000 + (n-1) 75,000
300,000 = 75,000(n-1)
300000/75000= n-1
4= n-1
n= 5
Hence, in the 5th year the maximum salary will be reached.
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a woman bought some oranges and 30% of them were bad if there were 60 bad oranges how many oranges did she buy
Answer:
if 60 is 30%, then add up to 100%
60+60+60= 180
but we still have 10% left so divide 30% by 3 to get 10% then add
30% (or 60) /3 is 20
add 20 to 180
boom you get 200 she bought 200 oranges i wonder how shes gonna fit them in her car that's a lot of oranges
Answer:
200
Step-by-step explanation:
To calculate 30 percent of a number, we multiply the number by 30 and then divide by 100. Therefore, we can make the following function:
30 ∗ x÷100
= 60
To solve for x, we first multiply both sides by 100 and then divide both sides by 30 to get the x = 200. Therefore, the answer to 60 is 30 percent of what number? is:
200
3(2x − 8) – 11x ......
Answer:
-5x-24
Step-by-step explanation:
3(2x-8)-11x
Use distributive property.
6x-24-11x.
Combine like terms.
6x-11x-24=-5x-24
-5x-24
Hope this helps!
If not, I am sorry.
Answer:
-5x - 24
Step-by-step explanation:
3(2x − 8) – 11x =
Distribute the 3, then combine like terms.
= 6x - 24 - 11x
= -5x - 24
PLEASE HELP ( look at ss to answer )
The direct proportion is shown by table (B)
What is direct proportion?Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.
Here the second table shows the direct proportion relation.
This is because the ratio of x/y remain same.
4/2= 7/3.5= 10/5= 11/5.5= 15/7.5 = 2/1
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Given two points of a line, find its slope.
(3, 1), (7,4)
Answer:
3/4 is the slope
Step-by-step explanation:
-5/7 x 1/5
please help
-5/7 x 1/5
-5 x 1 = -5
7 x 5 = 35
-5/35 = -1/7
Happy to help :P
The function where f (1) = 0
Answer:
ln(x)
Step-by-step explanation:
ln(x) can be rewritten as e^ln(x)=x. so if e^ln(1)=1 the exponent is just 0. because anything to the power of 0 is 1 according to the Zero Exponent Rule
Put these types of angles in order, sta rting with the smallest angle size.
Smallest
Obtuse
Acute
Reflex
Right angle
Largest
<<<<
Update
Answer:
Acute, right angle, obtuse, reflex
Step-by-step explanation:
Answer:
Acute
right angle
obtuse
reflex angle
Step-by-step explanation: