Which expression is already in its simplified form?
a.) 3t+ (s +t)
b.) 6h + 2(h+ 3k)
c.) 5m + 7mn + 4n
d.) 8 + y3 - 5z2 + 2y3

The value of x is: 75°

360° - 128° - 85° - 72° = 75°

Answer:

Solution given:

we have

<A+<B=exterior <C[sum of two opposite interior angle of a triangle is equal to the exterior angle in a triangle]

So

3x-13+ 2x+4=116°

5x-9=116°

5x=116°+9°

x=125/5

x=25

Now

<A=3×25-13=62°

<B=2×25+4=54°

Answer:

[tex]3x - 13 + 2x + 4 = 166 \\ 5x - 9 = 116 \\ 5x = 166 + 9 \\ 5x = 125 \\ x = \frac{125}{5} \\ x = 25 \\ \\ a = 3 \times 25 - 13 = 62 \\ b = 2 \times 25 + 4 = 54[/tex]

Answer:

12

Step-by-step explanation:

I know bc i did this before

Answer:

72 unit cubes (72 units³)

Step-by-step explanation:

[tex]6\times3\times4=72[/tex]

Answer:

Step-by-step explanation:

1 pound = 16 ounces

35 pounds = 560 ounces + 24 ounce = 584ounces

35 pounds,24ounces = 16 ounces

Answer:

huhhhhh ?????// thanks for the points but what words did u mean to say /???//

Step-by-step explanation:

Answer:

15 ÷ 17

Step-by-step explanation:

Since our hypotenuse side is 17 cm, our opposite side is 8 cm and our adjacent side is 15 cm. Since the acute angle is x degrees,

From trigonometric ratios, cosx° = adjacent/hypotenuse

= 15 cm/17 cm

= 15/17

= 15 ÷ 17

Answer:

15

Step-by-step explanation:

the height of the person is y = 6 and the distance from the ladder is also 6 = x. To find the angle formed by the ladder we use [tex]arctan(\frac{y}{x})[/tex] which in this case is

[tex]arctan\frac{6}{6} = arctan(1)\\= 45 degrees[/tex]

now we know that the person is 9 feet away from wall and 6 feet away from the ladder so the total x distance is 9+6 = 15 = x

to find y we use tan(45) = [tex]\frac{y}{x}[/tex]

multiply both sides by x = 15 and simplify to get y = 15

Answer:

A'=(4,-8)

B'=(4,12)

C'=(-12, -12)

Step-by-step explanation:

Ad 3 to the location you are heading remember first is x then y so (x, y)

X is always left and right

Y is always up or down

Answer:

88 inches

Step-by-step explanation:

formula for circumference: 2pir or pi*diameter

22/7*28=88

88 inches

9514 1404 393

Answer:

  1135.2 in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = (4/3)πr^3

The difference in volume will be ...

  ∆V = Vb -Vs = (4/3)π(10^3 -9^3) = (4/3)π(1000 -729) = 4/3π·271 . . . cubic in

  ∆V ≈ 1135.2 . . . cubic inches

The basketball has a volume that is 1135.2 cubic inches greater.

_____

If you use 3.14 for π, your answer is 1134.6 in^3.

:))))))

Step-by-step explanation:

videochamp, picsart

Picsart , Inshot , Gandr , Photo lab and Viva video.

Answer:

1152in²

Step-by-step explanation:

Given the following

Length = 10in

Width = 16in

Height = 16in

surface area of the prism = 2(LW + WH + LH)

surface area of the prism = 2(10*16+ 16*16 + 10*16)

surface area of the prism = 2(160+256+160)

surface area of the prism = 2(576)

surface area of the prism = 1152in²

Answer:

37

Step-by-step explanation:

Answer:

The angle that will be congruent to angle 4 is :

                             Angle 1

Step-by-step explanation:

It is given that:

angle 4 and angle 5 are complements.

Also, angle 1 and angle 5 are complements.

Congruent complementary Theorem--

It states that if two angles are complementary to the same angle, then the two angles are congruent to each other.

Here both angle 1 and angle 4 are complementary to the same angle i.e. angle 5.

Answer:

No. of students enrolled in Health = 63

No. of students enrolled in P.E. = 181

Step-by-step explanation:

Given,

Total students in grade seven = 244 students

A.T.Q.

Let the number of students enrolled in Health be x

so, The number of students enrolled in P.E. = 3x - 8

As we know,

x + (3x - 8) = 244

4x = 244 + 8

x = 252/4

x = 63

Thus, the number of students enrolled in Health = 63

The number of students enrolled in P.E. = 3x - 8

= 3 * 63 - 8

= 189 - 8

= 181 students

Given:

The graph of an inequality.

To find:

The point which is a solution of the given graph of inequality.

Solution:

From the given graph it is clear that the boundary line of the graph is a dotted line. It means the points lie in shaded region are in the solution set but the points on the line are not included in the solution set.

The points (3,2) and (-3,-6) are lie on the boundary line. it means they are not the solution of the inequality represented by the given graph.

Point (5,0) lies on the positive x-axis at the distance of 5 units from the origin and it doesn't lies in the shaded region. So, (5,0) is not a solution.

Point (0,5) lies on the negative y-axis at the distance of 5 units from the origin and it lies in the shaded region. So, (0,5) is a solution.

Therefore, the correct option is B.

Answer:

Width: 13 inches

Step-by-step explanation:

To find the width of prism you would have to divide the volume of the prism by the area of the cross section.

First calculate the area of the cross section of the prism:

17 × 25.5= 433.5

Then divide the cross section area by the volume:

5635.5 ÷ 433.5= 13  

The width is 13 inches

Answer:

48 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

If one angle is 132 degrees, the other must be 48 degrees.

Answer:

2 4/5

Step-by-step explanation:

4/5 divided by 2/7 is 2.8. 2.8 in the form of a fraction is 2 4/5.

The fraction 4/5 divided by 2/7 in the simplest form, is 14/5.

Given that, (4/5) divided by (2/7).

To divide fractions, multiply the first fraction by the reciprocal of the second fraction

Let a, b, c and d be real numbers. Divide a fraction (a/b) by another fraction (c/d), we can multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and denominator. So, the reciprocal of (c/d) is (d/c).

To divide (a/b) by (c/d), multiply the first fraction by the reciprocal of the second fraction:

(a/b) ÷ (c/d) = (a/b) x (d/c)

Multiplying the numerators and denominators:

(ad) / (bc)

Therefore, the result of (a/b) divided by (c/d) is (ad) / (bc).

To simplify this expression, and multiply the first fraction by the reciprocal of the second fraction:

(4/5) x (7/2)

Multiplying the numerators and denominators:

(4 x 7) / (5 x 2)

Simplifying the numerator and denominator:

28 / 10

To further simplify the fraction, and divide both the numerator and denominator by their greatest common divisor, which is 2:

28 ÷ 2 / 10 ÷ 2

This gives us:

14 / 5

Therefore, the fraction 4/5 divided by 2/7, in the simplest form, is 14/5.

Learn more about dividing fractions and simplifying fractions, click here:

https://brainly.com/question/10354322

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Answer:

The train is more reliable.

Step-by-step explanation:

The train is more reliable. The bus is on-time 87.5% of the time, while the train is on-time 90% of the time.

Answer:

$36

Step-by-step explanation:

Given :

Interest rate, r = 8% = 0.08

Principal, P = 150

Time, t = 3 years

Simple interest = (principal * rate * time)

Simple interest = (150 * 0.08 * 3)

Simple interest = $36

Answer:

∠ N = 31°

Step-by-step explanation:

The inscribed angle KLN is half the measure of its intercepted arc KL, so

∠ N = [tex]\frac{1}{2}[/tex] × 62° = 31°

Answer:

A, C, and F

Step-by-step explanation:

Answer:

it is 14

Step-by-step explanation:

Answer:

C) 14

Step-by-step explanation:

Volume of a Sphere:

V = 4/3πr³

V = 4/3(3.14)1.5³

V = 4/3(3.14)3.375

V = 14.13

14.13 ≈ 14

Answer:-x • (w2 - 12)

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       3w      

Answer: 3, The initial velocity of the rocket

Answer:

the initial velocity of the rocket

Step-by-step explanation: