Answer:
14 and 10
Step-by-step explanation:
14x5=70
10x3=30
100=70+30
Find the values of x and y.
Answer:
[tex] \boxed{x = 15,y = 17} [/tex]
Step-by-step explanation:
[tex]Vertically \: opposite \: angles \: area \: equal \\ \\ So, \\ \\ = > 7x \degree + 7\degree = 112\degree \\ \\ = > 7x\degree = 112\degree - 7\degree \\ \\ = > 7x\degree = 105\degree \\ \\ = > x\degree = \frac{105}{7} \degree \\ \\ = > x\degree = 15\degree \\ \\ \\ \\ Supplementary \: angles \: add \: up \: to \: 180 \degree \\ \\ So, \\ \\ = >4y\degree + 112\degree = 180\degree \\ \\ = > 4y\degree = 180\degree - 112\degree \\ \\ = > 4y\degree = 68\degree \\ \\ = > y \degree= \frac{68}{4} \degree \\ \\ = > y\degree = 17\degree[/tex]
Find the values of x and y.
Step-by-step explanation:
C : x = 17,y = 15
what is the sum of a and b?
Answer:
a=13, b=7
Step-by-step explanation:
You can use the exponent rule
[tex]3x^{a-5}y^{9-b}=3x^{8}y^{2}[/tex]
so [tex]x^{a-5}=x^{8}[/tex] so
a-5=8
a=13
[tex]y^{9-b} =y^{2}[/tex] so
9-b=2
b=7
the radius of the compass in 14 millimeter. what is the approximate area of the compass? (use 3.14
Answer:
the approximate area of the compass is 615.75mm2
Find the slope of the line that passes through (6, 15) and (10, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
m=-5/4
Step-by-step explanation:
the slope is always defined as "the change in y over the change in x" m= y2-y1/x2-x1
Find the value of x
Answer:
The answer is 9
Step-by-step explanation:
56+(3x+7)=90 (In the picture it shows a 90 degree angle.)
Then, you can start solving the equation.
90-56=34
3x+7=34 (Subtract by 7)
3x=27 (Divide by 3 on both sides)
x=9
The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere? StartFraction 32 Over 3 EndFractionπ cm3 8π cm3 StartFraction 64 Over 3 EndFractionπ cm3 16π cm3
Answer:
The volume of the sphere is 32 π /3 cm^3
Step-by-step explanation:
Mathematically, the volume of a sphere can be calculated using the formula below;
V = 4/3 * pi * r^3
Now since we have the radius and diameter = 2 * radius
radius = diameter/2 = 4/2 = 2
Substituting this value into the volume equation;
V = 4/3 * pi * 2^3 = 32pi/3
Answer:
The correct answer is A
Step-by-step explanation:
If cot x=v3, calculate (sin x)(cos x)-cos²x
Answer:
[tex]sin(x)\,cos(x)-cos^2(x)=\frac{\sqrt{3} -3}{4}[/tex]
Step-by-step explanation:
Recall the Pythagorean identity for cotangent:
[tex]1+cot^2(x)=csc^2(x)[/tex]
where the cosecant is the reciprocal of the sine function. So, since we know the value of the cotangent of the angle, we can derive the value of the square of the sine:
[tex]1+cot^2(x)=csc^2(x)\\1+(\sqrt{3})^2=\frac{1}{sin^2(x)} \\1+3=\frac{1}{sin^2(x)} \\4=\frac{1}{sin^2(x)}\\sin^2(x)=\frac{1}{4}\\ sin(x)=+/-\frac{1}{2}[/tex]
We can also use the Pythagorean identity for sin and cos, to find the value of [tex]cos^2(x)[/tex] and of cos(x):
[tex]cos^2(x)=1-sin^2(x)\\cos^2(x)=1-\frac{1}{4} \\cos^2(x)=\frac{3}{4}\\cos(x)=+/-\frac{\sqrt{3}}{2}[/tex]
We also notice that since the cotangent is positive, the angle "x" must be located in either the firs or the third quadrant, where both sine and cosine have the same sign (both positive in the first quadrant, and both negative in the third quadrant.
Then the requested quantity can be written as:
[tex]sin(x)\,cos(x)-cos^2(x)=(\frac{1}{2}) \,\frac{\sqrt{3} }{2} -\frac{3}{4} =\frac{\sqrt{3} }{4} -\frac{3}{4}=\frac{\sqrt{3}-3 }{4}[/tex]
The Skubic family and the Shaw family went on a safari tour in which they drove their own vehicles through the park to view the animals. The cost of the tour was $5.25 per vehicle plus an additional amount for each person in the vehicle. The Skubic family had 7 people in their vehicle and paid $22.75. If the Shaw family had 3 people in their vehicle, how much did they pay?
Answer:
$12.75
Step-by-step explanation:
Skubic Family-
22.75 = 5.25 + 7x
17.5 = 7x
2.5 = x
Therefore the cost for each person is equal to $2.5
Shaw Family-
2.5(3) + 5.25
7.5 + 5.25 = $12.75
Answer:
$12.75 is answer c
Step-by-step explanation:
Answer each question and explain your reasoning.
How long is 75% of 60 minutes?
Answer:
45 minutes
Step-by-step explanation:
75% is the same as [tex]\frac{3}{4}[/tex]. This means that we can multiply 60 by [tex]\frac{3}{4}[/tex] to find 75% of 60.
[tex]60*\frac{3}{4} \\\\\frac{180}{4} \\\\\frac{90}{2}\\\\45[/tex]
Answer:
45 minutes
Step-by-step explanation:
Of means multiply
75% * 60
Change to a decimal
.75 * 60
45
45 minutes
plz help!!! marking brainiest!!
Choose the highest common factor (HCF) of 6xy^3 and 9x^2y
A= x^2y^3
B= 3xy
C= 54x^3y^4
D=18x^2y^3
Answer:
B= 3xy
Step-by-step explanation:
6xy^3= 2ₓ3ₓ x ₓyₓyₓy
9x^2y= 3ₓ3ₓ x ₓ x ₓ y
common factors = 3, x , y
HCF: 3 ₓ x ₓ y
=3xy
Which answers are equal to the expression below? Check all that apply
Answer:
A, B, D, E, F
Step-by-step explanation:
Write the equation of the line that passes through the point (8, -2) and whose slope is 1/4
Step-by-step explanation:
y + 2 = 1/4(x - 8)
y +2 =1/4x - 2
y = 1/4x - 4
The pyramid below has a rectangular base and E is directly above A. find the volume of the pyramid
if you answer i’ll give you brainlest
Step-by-step explanation:
According to the information given and the formula
base area= 9cm × 4cm = 36
ht= 10cm
(1/3) × 36cm × 10cm = 120
Therefore, the volume of pyramid with base dimensions of 9 cm by 4 cm and height 10 cm will be 120 cm³.
What is Pyramid?
A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle which is called a lateral face.
Given are the dimensions of the base of a rectangular pyramid as 9 cm by 4 cm. Length AE is equal to 10 cm.
The volume of a pyramid is given by -
V[P] = 1/3 x B[A] x height
where
B[A] is Base area.
Base area will be equal to Area of rectangle with dimensions 9 cm by 4 cm. Therefore, the base area will be - B[A] = 9 x 4 = 36 cm²
Now, the volume will be -
V[P] = 1/3 x 36 x 10
V[P] = 12 x 10
V[P] = 120 cm³
Therefore, the volume of pyramid with base dimensions of 9 cm by 4 cm and height 10 cm will be 120 cm³.
To solve more questions on Pyramid's, visit the link below-
https://brainly.com/question/21864491
#SPJ2
The age of father is 4nyears.If the age of his daughter is(2n-9)years.find their total age.
Answer:
4n+(2n-9)
4n+2n-9
6n-9 =the total age
6n=9
divide by 6 both sides.
n=9/6
n=1.5 years.
substitute the value of n in the age of the father and the daughter.
Age of father=4×1.5
6years.
Age of Daughter = (2×1.5)-9
3-9
=-6 years
Total age
6-6=0
how many squares would have to be shaded so that 1/6 of the shape is shaded?
Answer:
3 squares
Step-by-step explanation:
The question given is not complete, the diagram of the shape is supposed to be attached. But I would provide you with a diagram and show you how to solve this type of problem.
The diagram of the shape is attached below. Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).
Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares
Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded
Solve:2/3 - 4x +7-2= -9.x +5/6
x = -3/2
x = -2/3
X=2/3
X=3/2
Answer:
2/3-4x+7-2=-9.x+5/6
2/3+7/1-2/1-5/6=-9.x+4x
12+126-36-15/18=-5x
87/18=-5x
29/6=-5x
29/6÷5=-5x÷5
29/6*1/5=-5x÷5
29/30=-x
-29/30=x
-0.9667=x
Find the slope of the line y
Please help! Correct answer only please! I need to finish this assignment by today.
At a T-shirt stand on the boardwalk, 7 of the last 14 shirts sold were green. What is the experimental probability that the next shirt sold will be green?
Simplify your answer and write it as a fraction or whole number.
P(green) =
Answer:
1/2
Step-by-step explanation:
Since there are a total of 14 t shirts and 7 of them were green, the experimental probability that the next one is also green is 7/14=1/2. Hope this helps!
What is the equation of the circle with center (11, 6) that passes through the point (17, 12)? A) (x − 11)2 + (y + 6)2 = 36 B) (x − 11)2 + (y − 6)2 = 36 C) (x + 6)2 + (y − 11)2 = 72 D) (x − 11)2 + (y − 6)2 = 72
Answer:
Its D
Step-by-step explanation:
What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J
Answer:
[tex]\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )[/tex]
Step-by-step explanation:
Given: P is Three-fifths the length of the line segment from K to J
To find: x- and y-coordinates of point P on the directed line segment from K to J
Solution:
Section formula:
Let point K and J be [tex](x_1,y_1)\,,\,(x_2,y_2)[/tex] such that the point [tex]p(x,y)[/tex] divides KJ in ratio [tex]m:n[/tex]
Then coordinates of point P are given by [tex]\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )[/tex]
Take [tex]m:n=3:5[/tex]
So,
coordinates of point P = [tex]\left ( \frac{3x_2+5x_1}{3+5},\frac{3y_2+5y_1}{3+5} \right )=\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )[/tex]
Answer:
The answer is (40,96), hope it helps :)
15 / 80
a) Work out 4 1/7 + 1 1/2
Answer:
5 9/14
Step-by-step explanation:
4 1/7 + 1 1/2= 5+1/7+1/2= 5+ 2/14+7/14= 5+ 9/14= 5 9/14
first put them into improper fractions, makes it easier
29/7 + 3/2
make the denominator the same
58/14 + 21/14 = 79/14
put it into a mixed fraction
79/14 = 5 9/14
Visualise 3.45 bar up to 3 places of decimal
Answer:
That would be 3.455
Step-by-step explanation:
3.45 bar means the 45 at the back is repetitive.
So we have something like;
3.454545454
Now writing this to three decimal places becomes 3.455
Can someone explain me how to find square root by prime factorization ?
Answer:
STEPS Step I: Obtain the given number. Step II: Resolve the given number into prime factors by successive division. Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Step IV: Take one factor from each pair. Step V: Find the product of factors obtained in step IV. Step VI: The product obtained in step V is the required square root.ExampleFind the square root of 324
324 = 2 x 162 = 2 x 2 x 81 = 2 x 2 x 3 x 27 = 2 x 2 x 3 x 3 x 9 = 2 x 2 x 3 x 3 x 3 x 3 ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 ) √324 = 2 x 3 x 3 √324 = 18Here is a scale drawing of a swimming pool where 1 cm represents 1 m. The dimensions of the drawing are 6.5 cm by 13 cm.
How long and how wide is the actual swimming pool?
Answer:
1cm
Step-by-step explanation:
Calculate the surface area and the volume of the cylinder.
Pls!! Show how you got the surface area and volume
Step-by-step explanation:
Surface area of a cylinder:
A = (2 x pi x r x h) + (2 x pi x r^2)
(2 x pi x 5 x 25) + (2 x pi x 5^2)
785.3981 + 157.0796 = 942.4777cm^2
Volume of cylinder:
V = pi x r^2 x h
pi x 5^2 x 25 = 1963.4954cm^3
Which of the following statements is true of the Alien and Sedition Acts?
They were designed to keep immigrants and the French in power.
They encouraged Americans to speak out against the government.
They were supported by Federalists and not by Democratic-Republicans.
Answer:
C (the last one)
Step-by-step explanation:
The Alien and Sedition Acts were a series of four laws passed by the U.S. Congress in 1798 amid widespread fear that war with France was imminent. The four laws–which remain controversial to this day–restricted the activities of foreign residents in the country and limited freedom of speech and of the press. Also, The Alien and Sedition Acts were four laws passed by the Federalist-dominated 5th United States Congress and signed into law by President John Adams in 1798. Seeing this, the last on is the only reasonable one.
Hope this helps!!!!
Answer:
They were supported by Federalists and not by Democratic-Republicans.
Step-by-step explanation:
I took the edge 2021 test
BRAILIEST?
Find an equation for the line that passes through the points (2, 3) and (-6, 5).
So the answer is -1/4x+3.5, thats the answer ok
There are 48 cans of soup on a crate. A supermarket has a delivery of 110 crates for £1980 and sells a can for 41p. How much profit does the supermarket make on the delivery?
Answer:
I would love to help but i dont know pounds so i will try to help in dollars then convert into pounds
lol :) just wait
Step-by-step explanation:
Question 9
1) Which number is a rational number?
134
49
9
13
2
16
Answer: all of them
Step-by-step explanation:
Rational numbers are represented as dividing two integers, which is a fraction or decimal. Therefore, the numbers stated (134, 49, 9, etc.) are rational numbers since they are all whole numbers.
