Solve the equation x = $rrº for r.
O A. r= »3.2 (57)
O B. r =
3.0
5%
O C. r = 3x - 571
O D. r =
570
32

Answer:

b=57° (vertically opposite angles)

Step-by-step explanation:

57°+a+b+c=360° (angles around a point)

57°+57°+a+c=360°

114°+a+c=360°

a+c=360°-114°=246°

a=c (vertically opposite angles)

therefore 2a=246°

a=123°

b=123°

Answer:

16.7 miles

Step-by-step explanation:

6.7+10=16.7

The two of them ran 16.7 miles.

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:

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:

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:

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:

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:

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:

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.

Learn more about Roots of Quadratic Equations here :

https://brainly.com/question/26926523

#SPJ7

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]

Answer:

1

Step-by-step explanation:

Answer:

C) 80

Step-by-step explanation:

triangles always add up to 180 degrees, so 80+20=100 the missing angle is 80 degrees

Answer:

28

Step-by-step explanation:

Answer:

DE ≈ 16.1, ∠E ≈ 60.3°, ∠D ≈ 29.7°

Step-by-step explanation:

use pythagorean theorem:

DE² = 8² + 14² => DE = √8² + 14² ≈ 16.1

use inverse tangent function:

∠E =  [tex]tan^{-1}[/tex](14/8) ≈ 60.3°

∠D =  [tex]tan^{-1}[/tex](8/14) ≈ 29.7°

Answers:

The "units" and "degrees" portions of the answers are likely to be left out.

===============================================

Explanation:

Since we have a right triangle, we can use the pythagorean theorem to find the hypotenuse DE

a^2+b^2 = c^2

c = sqrt(a^2+b^2)

c = sqrt(8^2+14^2)

c = 16.124515496597

c = 16.1 is the approximate length of side DE

----------------------------------

We'll use the tangent ratio to find angle E

tan(angle) = opposite/adjacent

tan(E) = FD/FE

tan(E) = 14/8

E = arctan(14/8)

E = 60.2551187030578

E = 60.3 degrees

The notation arctan is the same as inverse tangent. You should have a [tex]\tan^{-1}[/tex] button on your calculator to help compute the inverse tangent.

-------------------------------------

We could use the tangent ratio to solve for angle D, by noting that

tan(D) = 8/14

or we could use the idea that D+E = 90 which solves to D = 90-E

D = 90-E

D = 90-60.3

D = 29.7 degrees

Note how arctan(8/14) = 29.74488 which rounds to 29.7

Answer:

y = 2x + 5

Step-by-step explanation:

We have two points,

(-2,1) and

(4,13)

from which we can find the slope, m, where

m = (13-1)/(4--2) = 12/6 = 2

take any of the two points to form the point-slope form

y-y1 = m(x-x1)

y-13 = 2 (x-4)

y = 2x - 8 + 13 =2x+5

Check:

when x = -2, y = 2(-2)+5 = 1 checks.

Answer:

0.88

Step-by-step explanation:

We would consider the first case second column....

So 14/16 will be the probability that comes out be approximately 0.88.

Answer:

D

Step-by-step explanation: