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3 years ago

12

Variable c is 5 more than variable a. Variable c is also 3 less than variable a. Which pair of equations best models the relatio

nship between c and a?
c = a − 5
c = a + 3
a = c + 5
a = 3c − 3
a = c − 5
a = 3c + 3
c = a + 5
c = a − 3

2 answers:

MrMuchimi3 years ago

4 0

C = 5 + a @ c = a + 5
c = a - 3

hope this would help u

STALIN [3.7K]3 years ago

4 0

Answer:

Last pair of equations.

Step-by-step explanation:

variable c is 5 more than variable a can be represented with c = 5+a and variable c is 3 less than variable a can be represented with c = a-3. So, the pair of equations are:

c = 5+a

c = a - 3.

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sineoko [7]

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Perimeter of base = 4(base side) = 4(20) = 80ft

$\begin{gathered} \text{Area of pyramid = }\frac{1}{2}\times80\times16.3 \\ \text{Area = }652ft^2 \end{gathered}$

7 0

1 month ago

PLEASE HELP ME WITH THIS

Vedmedyk [2.9K]

Let's start with the drawing. (See the drawing at the bottom of this answer.)

Draw a vertical segment.
At the bottom endpoint, draw a horizontal segment to the right.
The angle at the bottom left is a right angle.
So far this should look like an "L" shape.
The vertical segment is the wall, and the horizontal segment is the ground.

Now draw a segment that connects the right endpoint of the horizontal segment and the top endpoint of the vertical segment. Now you have a right triangle. The diagonal segment represents the ladder. The diagonal segment is the hypotenuse. Label the diagonal segment, the hypotenuse, 12 ft.
Label the vertical segment, the wall, 11.8 ft.

The angle at the bottom right is A. It is the angle the ladder makes with the ground. This angle cannot be greater than 75 degrees.

Now we use trigonometry to find the measure of angle A.

For this right triangle, and its angle A, you have a hypotenuse that measures 12 ft, and an opposite leg that measures 11.8 ft.
We need to find angle A.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.

$\sin A = \dfrac{opp}{hyp}$

$\sin A = \dfrac{11.8}{12}$

$\sin A = 0.98333$

Since the sine of angle A equals 0.98333, we use the inverse sine function to find the measure of angle A.

$A = \sin^{-1} 0.98333$

$A = 79.5^\circ$

Answer:
The angle the ladder makes with the ground is 79.5 degrees which is greater than 75 degrees, so the ladder it will be unsafe in this position.

           |\
     | \
     |    \
       |    \
opp = |    \ hyp = 12
= 11.8 |    \
     |       \
     |_______\ A

3 0

2 years ago

Kilo typed 1,125 words in 15 minutes let w represent the number of words typed each minute If Lolo typed the same number of word

Alborosie

Answer:

She type <u>75 words</u> in 1 minute.

Step-by-step explanation:

Given:

Lolo typed 1,125 words in 15 minutes.

Let w represent the number of words typed each minute.

Now, to find the number of words she type in 1 minute if Lolo typed the same number of words each minute.

So, we solve it by using cross multiplication method:

<u><em>As 1125 words is equivalent to 15 minutes.</em></u>

<u><em>Thus, w number of words equivalent to 1 minutes</em></u>.

$\frac{1125}{15} =\frac{w}{1}$

By cross multiplying we get:

⇒ $1125=15w$

<em>Dividing both sides by 15 we get:</em>

⇒ $75=w$

⇒ $w=75.$

Therefore, she type 75 words in 1 minute.

4 0

2 years ago

Find the perimeter of quadrilateral PQRS with the vertices P(2,4), Q(2,3), R(-2,-2), and S(-2,3).

storchak [24]

Answer:

$P=16.53\ units$

Step-by-step explanation:

we know that

The perimeter of quadrilateral PQRS is equal to the sum of its four length sides

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

the vertices P(2,4), Q(2,3), R(-2,-2), and S(-2,3)

step 1

Find the distance PQ

P(2,4), Q(2,3)

substitute in the formula

$d=\sqrt{(3-4)^{2}+(2-2)^{2}}$

$d=\sqrt{(-1)^{2}+(0)^{2}}$

$d=\sqrt{1}$

$dPQ=1\ unit$

step 2

Find the distance QR

Q(2,3), R(-2,-2)

substitute in the formula

$d=\sqrt{(-2-3)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-5)^{2}+(-4)^{2}}$

$dQR=\sqrt{41}\ units$

step 3

Find the distance RS

R(-2,-2), and S(-2,3)

substitute in the formula

$d=\sqrt{(3+2)^{2}+(-2+2)^{2}}$

$d=\sqrt{(5)^{2}+(0)^{2}}$

$dRS=5\ units$

step 4

Find the distance PS

P(2,4), S(-2,3)

substitute in the formula

$d=\sqrt{(3-4)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-1)^{2}+(-4)^{2}}$

$dPS=\sqrt{17}\ units$

step 5

Find the perimeter

$P=PQ+QR+RS+PS$

substitute the values

$P=1+\sqrt{41}+5+\sqrt{17}$

$P=6+\sqrt{41}+\sqrt{17}$

$P=16.53\ units$

5 0

2 years ago

sashaice [31]

Answer:

angle y is 64⁰

Step-by-step explanation:

There are 2 ways to solve this.

first,

they are alternate angles

second,

you can solve by

180-64=116 (on a straight line)

180-116=64⁰

I'm not really good at explaining but hope this helps :)

5 0

2 years ago