the image in down there attached

Answer:

7

Step-by-step explanation:

each way from 10 to 7 is 3 and 4 to 7 is 4

Answer:

h = 9.6 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

h² + 7.2² = 12² ( h is the height of the building )

h² + 51.84 = 144 ( subtract 51.84 from both sides )

h² = 92.16 ( take the square root of both sides )

h = [tex]\sqrt{92.16}[/tex] = 9.6 ft

Answer:

1.48 m

Step-by-step explanation:

mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Then the sum for the 14 boys is

[tex]\frac{sum}{14}[/tex] = 1.56 ( multiply both sides by 14 )

sum = 21.84 m

The sum for the class of 32 is

[tex]\frac{sum}{32}[/tex] = 1.515 ( multiply both sides by 32 )

sum = 48.48 m

Thus the sum for the 18 girls is

sum = 48.48 - 21.84 = 26.64 m

Then mean height of girls is

mean = [tex]\frac{26.64}{18}[/tex] = 1.48 m

Answer:

32 $

Step-by-step explanation:

Answer:

b. 3(8.35) ^x

Step-by-step explanation:

3(1.7) ^4x = 3 • [(1.7)⁴]^x

= 3 (8.35) ^x

Answer:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Hope that answered your question.

Answer:

Uuy

Step-by-step explanation:

Answer:

the answer to this is 7.

Step-by-step explanation:

7+3=10.

Answer:

step one you look at the question until you find the ex cuz it says 125 degrees and 125 degrees 2x

Answer:

x = 50

Step-by-step explanation:

The sum of all entire angles in this, esentially a pentagon, add up to 540

To find x, use the following

540 = 125 + 125 + 90 + 2x + 2x

540 - 125 - 125 -90 = 4x

200 = 4x

200 / 4 = x

50 = x

Answer:

Earth's Rotation

Earth spins around its axis, just as a top spins around its spindle. This spinning movement is called Earth's rotation. At the same time that the Earth spins on its axis, it also orbits, or revolves around the Sun. This movement is called revolution.

Answer:

7

Step-by-step explanation:

Answer:

x = 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the tangent ratio and the exact value

tan60° = [tex]\sqrt{3}[/tex] , then

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{5}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by 5 to clear the fraction )

x = 5[tex]\sqrt{3}[/tex]

Answer:

30 cubic feet

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Height of cone (h) = 10 feet

Base surface area = π[tex]r^{2}[/tex] =  9 sq. feet

So we can calculate the volume of cone by using following formula,

volume of cone = (1/3)π[tex]r^{2}[/tex]h

By putting the value in the formula, we get

Volume of cone = (1/3) 9 × 10

= 3 × 10

= 30 cubic feet

Answer:

Step-by-step explanation:

[tex]Equation \ of \ a \ line, (y-y_1)=slope(x-x_1)[/tex]

[tex](x_1, y_1) = (2,3)[/tex]

                                [tex]y-3=\frac{1}{2}(x-2)\\\\y -3= \frac{1}{2}x-1\\\\y = \frac{1}{2}x-1+3\\\\y = \frac{1}{2}x+2[/tex]

Answer:

[tex](x-1)^2+(y-6)^2=16[/tex]

Step-by-step explanation:

The equation of a circle is given by [tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h,k)[/tex] is the center of the circle and [tex]r[/tex] is the radius of the circle.

From the diagram, we can find the following:

Thus, we have:

[tex](x-1)^2+(y-6)^2=4^2,\\\boxed{(x-1)^2+(y-6)^2=16}[/tex]

Answer:

(x-1)^2 + (y-6)^2 = 16

Step-by-step explanation:

center = (1,6)

radius = 4

equation of a circle (x-h)^2+(y-k)^2=r^2

(x-1)^2 + (y-6)^2 = 16

Answer:

36 green apples

Step-by-step explanation:

Number of red apples = percentage of red apples x total number of apples in the box

percentage of red apples = 100 - 40 = 60%

0.6  x 60 = 36

Answer:

yes the triangle is congruent, because you did not use any transformations you on used translations.

but if you used transformations it would be similar not congruent

Answer:

h(x) = 3(x - 9)² - 2

Step-by-step explanation:

Rules for translation of a function are as follows:

f(x) + a = vertical translation of f(x) upwards by a units

f(x) - a = vertical translation of f(x) downwards by a units

f(x + a) = horizontal translation of f(x) leftwards by a units

f(x - a) = horizontal translation of f(x) rightwards by a units

So, using the above the rules:

h(x) = f(x - 4) - 1

h(x) = (3((x - 4) - 5)² - 1) - 1

h(x) = 3(x - 9)² - 2

Answer:

D. y=70x

Step-by-step explanation:

The cheetah was clocked running 70 miles per hour.

i.e. in 1 hour cheetah covered 70 miles

in 2 hours cheetah covered 140 miles

in 3 hours cheetah covered 210 miles

in general, in n hour cheetah covered 70n miles

If y denote the distance covered

and x denotes the time cheetah runs

Then, y=70x

Hence, the equation which shows the relationship between the distance, y, and time, x, the cheetah runs is:

D  y=70x

Answer:

61.2 in

Step-by-step explanation:

Draw a segment from O perpendicular to AB forming a right triangle.

Call the point of intersection J.

m∠HAB = (8 - 2)180/8 = 135

m∠BAO = 135/2 = 67.5

AJ/10 = cos 67.5

AJ = 10 cos 67.5

AB = 2(10 cos 67.5)

Perimeter = 8(AB) = 8(2)(10 cos 67.5) = 61.2 in.

The perimeter of a regular octagon that has a distance from its center to any of its vertices of 10 inches would be 61.2 inches.

A polygon is a closed figure made up of three or more line segments connected end to end.

First, we draw a segment from O perpendicular to AB forming a right triangle.

Let say the point of intersection J.

∠HAB = (8 - 2)180/8

          = 135

∠BAO = 135/2

           = 67.5

AJ/10 = cos 67.5

AJ = 10 cos 67.5

AB = 2(10 cos 67.5)

Perimeter = 8(AB)

               = 8(2)(10 cos 67.5)

               = 61.2 in.

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Answer:

n ≤103

Step-by-step explanation:

The product of a number n and 1 is expressed as  n

Six less than the number is n - 6

If the result is no more than 97, then;

n - 6 ≤ 97

n ≤ 97 + 6

n ≤103

Hence the value of n is no more than 103

Answer:

Step-by-step explanation:

The formula for this particular problem is

[tex]x^2=2(2+16)[/tex] and

x² = 2(18) and

x² = 36 so

x = 6

Scale factor = (image)/(preimage)

[tex]AC=8\\\\A'C'=12[/tex]

So, the scale factor is [tex]\frac{12}{8}=\boxed{1.5}[/tex]

Answer:

y= -1/2x+4

Step-by-step explanation:

slope = rise/run on the graph. the graph is going down, so it's negative. find where the line intersects the graph at a point and then count the squares up and over until it meets again. the line meets at (6,1), you count up one square and over 2 and it meets again. this gives you your rise/run = 1/2. the y intercept is where the line intersects the y axis. here the y intercept is 4 because the like goes through 4 at the y axis.

Answer:

Step-by-step explanation:

let angle p be x

x+27=56 degree (sum of two opposite interior angle is equal to the exterior angle formed)

x=56-27

x=29 degree

therefore p is 29 degree.

Answer:

Step-by-step explanation:

The roots of the quadratic equation below using the quadratic formula are option A. [-9 ± √105 ] / 6.

Given is a quadratic equation,

3x² + 9x - 2 = 0

Quadratic formula to find the roots of a general quadratic equation ax² + bx + c is,

x = [-b ± [tex]\sqrt{b^2-4ac}[/tex] ] / 2a

Here a = 3, b = 9 and c = -2.

Substituting the values,

x = [-9 ± [tex]\sqrt{9^2-(4)(3)(-2)}[/tex] ] / (2 × 3)

  = [-9 ± [tex]\sqrt{81+24}[/tex] ] / 6

  =  [-9 ± √105 ] / 6

So the roots are [-9 ± √105 ] / 6.

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Answer:

3 : 7 : 5

Step-by-step explanation:

Given

12 : 28 : 20 ← divide each part by 4 ( the LCM of 12, 28, 20 )

= 3 : 7 : 5

Answer:

Step-by-step explanation:

[tex]28y^{7} *x^{4} *u^{3} \\8x^{4} *u^{5}[/tex]

rewrite those 2 terms to better see what they have in common

[tex]4*7 *x^{4} *u^{3} *y^{7} \\4*2*x^{4}*u^{3} *u^{2}[/tex]

because, 4*7 =28, 4*2=8, u³*u² =u^5, and multiplication is commutative

The greatest common factor is:

[tex]4x^{4} u^{3}[/tex]