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1 year ago

In AABC, a = 3, b = 8, and m/C= 60. Find the length of side c

Mathematics

1 answer:

irga5000 [103]1 year ago

8 0

Step-by-step explanation:

please see photo attached for detailed analysis

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Annie walks 15 feet away from her house and places a mirror on the ground. She backs 4 feet away from the mirror so that she can

Firdavs [7]

Answer:

18.75 ft

Step-by-step explanation:

The given scenario can be drawn as shown in the following attachment.

Given that,

$m\angle DCE=\angle ACB$ and $m\angle DEC=\angle ABC=90^{\circ}$

Therefore, $\Delta ABC\sim \Delta DEC$

$\Rightarrow \dfrac{AB}{DE}=\dfrac{BC}{EC}$

$\Rightarrow \dfrac{AB}{5}=\dfrac{15}{4}$

$\Rightarrow AB=\dfrac{15\times 5}{4}=18.75$ ft

AB is the height of the house.

7 0

3 years ago

Read 2 more answers

There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 peop

Sonbull [250]

Answer:

24 people

Step-by-step explanation:

((The numbers are up there, so I am not going to define each variable.))

For starters, there is no overlap between the double facilities groups, except the triple facility users, so:

19 + 9 + 16 - 4 = 40 people

Since there is overlap between single and double groups, you will need to subtract, so:

Gym: 73 - 19 - 16 = 38

Pool: 59 - 19 - 9 = 31

Track: 31 - 9 - 16 = 6

Total for 1 facility: 38 + 31 + 6 - 4 = 71 people

((Minus 4 because the 4 triple facility users overlap the double facility users (problem is in layers: layer 1 minus layer 2, then minus layer 3).))

Next, add the totals:

71 + 40 = 111 people (using facilities)

135 - 111 = 24 people (who didn't use any)

(((I'm not 100% sure on this answer, so if someone could check my work, that would be much appreciated.)))

4 0

3 years ago

What is the equation for

WARRIOR [948]

The equation of a line that is perpendicular to the given line is y = –4x – 16.

Solution:

The equation of a line given is y = 0.25x – 7

Slope of the given line( $m_1$ ) = 0.25

Let $m_2$ be the slope of the perpendicular line.

Passes through the point (–6, 8).

<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>

$\Rightarrow m_1 \cdot m_2=-1$

$\Rightarrow 0.25\cdot m_2=-1$

$\Rightarrow m_2=\frac{-1}{0.25}$

$\Rightarrow m_2=-4$

Point-slope intercept formula:

$y-y_1=m(x-x_1)$

$x_1=-6, y_1=8$ and $m=-4$

Substitute these in the formula, we get

$y-8=-4(x-(-6))$

$y-8=-4(x+6)$

$y-8=-4x-24$

Add 8 on both sides of the equation.

$y-8+8=-4x-24+8$

$y=-4x-16$

Hence the equation of a line that is perpendicular to the given line is

y = –4x – 16

5 0

3 years ago

What is the value of 5 2/3 +(-3 5/6)+(-2/3)?

algol [13]

Answer: I got 2/9 but im not sure if its right

Step-by-step explanation:

5 0

2 years ago

brenda and her bestfriend went on a vacation together. They both paid for a flight, and brenda had a fancy room for $150 per nig

AURORKA [14]

Answer:

What is the question?

Step-by-step explanation:

1. Write all of the question to receive a correct answer.

7 0

2 years ago