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mylen [45]
3 years ago
14

12.

Mathematics
1 answer:
IrinaVladis [17]3 years ago
5 0

Answer:

Length of the room is   180 ft

Step-by-step explanation:

We have a rectangular room with dimensions:

width  =  70  ft       and  length    "x" (unknown)

Perimeter of a rectangle   is   2*w  +  2*x    and according to problem statement 500 ft of lights will fit exactly in room perimeter then:

2*70  +  2*x   =  500

140  + 2*x  =  500

2*x  =  500 - 140

2*x  = 360

x  = 360/2

x  =  180  ft

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Tamara borrowed $6,000 at 6% and ended up paying $900 in simple interest.For how long was the loan?
Elden [556K]

Answer:

For how long was the loan? For 6 1/2month

Step-by-step explanation:

Loan % int.anual % int.peri. Interest Loan+interest M.Payme N

6000 6%             0,0089  53,531 6053,53          900 6 1/2month.

3 0
3 years ago
-4x+2y=0<br> 10x+3y=8<br><br> HELPPPPPPP
tatiyna

Answer:

x=1/2 y =1

Step-by-step explanation:

(-4x+2y)/2x5=0/2x5

10x+3y=8

(-2x+y)x5=0

10x+3y=8

-10x+5y=0

10x+3y=8

8y=8

y=1

x=1/2

5 0
2 years ago
a A hole in the shape of a hemisphere is carved into each face of a cube. The holes are identical and centered at the centre of
morpeh [17]

Diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.

<h3>What is a Hemisphere?</h3>

A hemishpere is half of a sphere. Thus, two hemispheres makes one full sphere.

Given the image as shown below, since the identical hemispheral holes are centered at the center of each fce and they touch each other at only one point, it means that two hemisphere meet to make one full sphere.

Therefore, the diameter of a full sphere = side length of cube.

Thus, diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.

Learn more about hemisphere on:

brainly.com/question/9280450

5 0
2 years ago
Which could be the first step in solving this system of equations by substitution?
Ainat [17]

Answer:

The first step is to replace the y in y-x=15 with 7x (we can do this because the first equation tells us that they're equal)

solve and get

(2.5,17.5)

or x= 2.5 y=17.5

Step-by-step explanation:

The first step is to recognize that y=7x which means that we can just replace the y in the second equation with 7x

7x-x=15

6x=15

x=2.5

Then we can solve for y

y=7(2.5)

y=17.5

3 0
3 years ago
Calculate the side lengths a and b to two decimal places. Will give five stars and brainliest to the first answer!!!!! Need help
garri49 [273]

Answer:

Using the Sine Rule , which states that

\frac{a}{Sin A}=\frac{b}{Sin B}=\frac{c}{SinC}

In Δ ABC

∠A +∠B+∠C=180°→→Angle Sum Property of Triangle

72°+85°+∠C=180°

∠C=180° - 157°

∠C= 23°

All the angles are in degrees.

\frac{a}{Sin 72}=\frac{b}{Sin 85}=\frac{6.2}{Sin 23}

Using the table of Sine, Calculating Sine Values

Sin 72°= 0.9510

Sin 85°=0.996

Sin 23°=0.390

\frac{a}{0.951}=\frac{b}{0.996}=\frac{6.2}{0.390}\\\\ a=\frac{6.2 * 0.951}{0.390}= 15.118\\\\ b=\frac{6.2 * 0.996}{0.390}=15.833

Among the five Options,

Option E: a= 15.09 and b=15.81  is approximately true.

7 0
3 years ago
Read 2 more answers
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