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3 years ago

Simplify -4(-8x-8) in distributive property

Mathematics

1 answer:

frosja888 [35]3 years ago

4 0

Answer:

32x+32

Step-by-step explanation:

In the distributive property, you have to multiply the thing outside the parenthesis to each term in the parenthesis. -4*-8x=32x and -4*-8=32, so the answer would be 32x+32

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Vertices A and B of triangle ABC are on one bank of a river, and vertex C is on the opposite bank. The distance between A and B

Anna71 [15]

Answer:

The length of side b is 179 ft

Step-by-step explanation:

Given triangle ABC in which

∠A = 33°, ∠B = 63°, c=200

we have to find the length of b

In ΔABC, by angle sum property of triangle

∠A+∠B+∠C=180°

33°+63°+∠C=180°

∠C=180°-33°-63°=84°

By sine law,

$\frac{\sin \angle A}{a}=\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}$

$\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}$

$\frac{\sin 63^{\circ}}{b}=\frac{\sin 84^{\circ}}{200}$

$b=200\times \frac{\sin 63^{\circ}}{\sin 84^{\circ}}=179.182887\sim 179 ft$

The length of side b is 179 ft

Option C is correct.

7 0

3 years ago

PLEASE HELP!!!!! Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles. Which

fgiga [73]

Answer:

The correct answer would be D) 4.8x + 1.2 = 3.6; x = 0.5 mile

Step-by-step explanation:

This is because laps would be the dependent variable, so we know the number of them (4.8) would be multiplied by the variable (x). We also know that 1.2 is the constant. Now we can solve to make sure this is the right equation.

4.8x + 1.2 = 3.6

4.8x = 2.4

x = 0.5

7 0

3 years ago

Read 2 more answers

MANY PTS AND BRAINLY FAST

Troyanec [42]

Answer:

Option C

Step-by-step explanation:

we have

$-6x^{2} -6x+12=0$

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$-6x^{2} -6x=-12$

step 2

Factor -6 leading coefficient'

$-6(x^{2} +x)=-12$

step 3

Complete the square

Remember to balance the equation by adding the same constants to each side

$-6(x^{2} +x+0.25)=-12-1.5$

$-6(x^{2} +x+0.25)=-13.5$

step 4

Rewrite as perfect squares

$-6(x+0.5)^{2}=-13.5$

simplify

$(x+0.5)^{2}=2.25$

5 0

4 years ago

Read 2 more answers

There are 130 people in a sport centre. 76 people use the gym. 60 people use the swimming pool. 32 people use the track. 23 peop

eduard

Step-by-step explanation:

___is the capacity to influence

behaviour

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b. Coercion

c. Power

d. Potential

= Power___is the capacity to influence

behaviour

Select one:

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behaviour

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b. Coercion

c. Power

d. Potential

= Power___is the capacity to influence

behaviour

Select one:

a. Self-interest

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d. Potential

= Power___is the capacity to influence

behaviour

Select one:

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b. Coercion

c. Power

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behaviour

Select one:

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b. Coercion

c. Power

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behaviour

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8 0

3 years ago

please help. answer is 62.1m(squared) and the objects are composite! please show the work, no matter what i do i cant seem to ge

yuradex [85]

Answer:

$SA=62.1\ m^2$

Step-by-step explanation:

step 1

Find the surface area of the smaller rectangular prism

$SA=2B+Ph$

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

$SA=2[(2.5)(1.5)]+2(2.5+1.5)(1.5)$

$SA=7.5+12=19.5\ m^2$

step 2

Find the surface area of the cube

$SA=6s^2$

where

s is the length side of the cube

$SA=6(2.5^2)=37.5\ m^2$

step 3

Find the lateral area of the cylinder

$LA=\pi DL$

where

D is the diameter of the base

L is the length of cylinder

$LA=(3.14)(0.5)(3.5)=5.495\ m^2$

step 4

Find the area of the base of cylinder

$A=\pi r^{2}$

we have

$r=0.5/2=0.25\ m$ ----> the radius is half the diameter

$A=(3.14)(0.25)^{2}=0.19625\ m^2$

step 5

Find the surface are of the composite figure

we know that

The surface area of the composite figure is equal to the surface area of the smaller rectangular prism plus the lateral area of the cylinder, plus the surface area of the cube, minus the area of the two bases of cylinder

$SA=19.5+5.495+37.5-2(0.19625)=62.1\ m^2$

5 0

3 years ago