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marshall27 [118]

3 years ago

15

when solving an equation using the Distributive property, if the numbers being distributed are fractions,whats is your first ste

p? why?

1 answer:

Leona [35]3 years ago

4 0

Find a way to turn the fraction into a whole number so it will be easier to multiply, add, etc.

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Jodie ran at an average speed of 8 km/h for 30 minutes. <br> How far did she run in km?

Artyom0805 [142]

Answer:

3.75km

Step-by-step explanation:

6 0

2 years ago

The cost to produce a custom designed t shirt is five dollars per shirt plus a 40 dollar design fee. Which of th following could

ehidna [41]

Ok so if we have five dollars per shirt, and if the number of shirts we buy is x, we have 5x dollars for the price. there is also a $40 design fee, so that adds 40. we do not need to pay 40 for every shirt, just once for the whole group, so we have 5x+40 as our answer

7 0

4 years ago

Given: KPST is a trapezoid, KP=ST, MN is a midsegment, MN=20, h=15, PS:KT=3:7 Find: KS and KP

lions [1.4K]

Answer:

Length of KS = 25 units and

Length of KP = 17 units.

Step-by-step explanation:

Given: KPST is a trapezoid, KP =ST, MN is a mid segment, h is the height =15

Also it is given that, MN = 20 , h = 15 and PS:KT = 3:7.

If two sides of the trapezoid are equal then, it is an isosceles trapezoid.

Mid-segment of a trapezoid is a line segment which connects the midpoints of the non-parallel sides.

A trapezoid mid segment connects the midpoints of two congruent sides of the trapezoid and is parallel to the pair of parallel sides.

Length of the mid segment is the sum of two bases divide by 2

Since, the length of Mid-segment MN = 20.

Also, it is given: PS:KT = 3:7

Let PS = 3x and KT = 7x respectively.

then;

$\frac{PS+KT}{2} = 20$

$\frac{3x+7x}{2} = 20$

$\frac{10x}{2} =20$

On Simplify, we get;

5x =20

Divide both sides by 5 we get;

x =4

Then:

Length of base PS = 3x = 3(4) = 12 and Length of base KT = 7x = 7(4) = 28.

Now, In triangle PLK

Using Pythagoras theorem to find KP;

It is given here, PL =h =15 and KL= 8 {you can see in the figure as shown below};

$KP^2= PL^2 + KL^2$

$KP^2 = 15^2+8^2 =225 +64 = 289$

$KP = \sqrt{289}$

Simplify:

KP = 17

therefore, the length KP = 17 units

To, construct a line: Join K and S

Now, in triangle KRS

KR = KL +LR = 8 +12 =20 and SR = h= 15

Using Pythagoras theorem in KRS to find KS;

$KS^2 = SR^2+KR^2$

$KS^2 = 15^2 + 20^2 = 225 + 400 = 625$

$KS = \sqrt{625}$

On simplify:

KS = 25

Therefore, the length of KS is, 25 units.

4 0

3 years ago

The period T of a pendulum in seconds depends on its length L in feet, and is given by the formula T=

Damm [24]

This is a matter of plugging in. Specifically 7 for L.

T = 2πsqrt(7/32)
T = (6.28319...)(0.46771...)
T is about 2.93871 seconds

4 0

3 years ago

I need help with my math!!!!!!!

olga_2 [115]

Answer:

2 $\sqrt{6}$

Step-by-step explanation:

Area of a square = $s^{2}$ (<em>s is a side length)</em>

<em>24 = </em> $s^{2}$

$\sqrt{24}$ = $\sqrt{s^{2} }$

$\sqrt{24}$ = <em>s</em>

$\sqrt{(4)(6) }$ = <em>s</em>

<em>2</em> $\sqrt{6}$ = <em>s</em>

7 0

3 years ago