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Alexeev081 [22]
3 years ago
6

Can anyone help me solve these please

Mathematics
1 answer:
pickupchik [31]3 years ago
6 0
R^2+(ab)^2= (ao)^2
ab=6
ao=11.7

Plug in

r^2+6^2=11.7^2

simplify

r^2+36= 136.89
-36 both sides

r^2=100.89
square root both sides

r= 10.04 rounded 10
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Simplify 7.32a+2.1∙(2.7−18a)
tresset_1 [31]
7.32a + 2.1(2.7 -18a)
7.32a + 5.67 - 37.8a (multiply 2.1 to 2.7 and 18a)
5.67 - 30.48a (combine 7.32a and -37.8a since they are like terms)
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3 years ago
Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.
frozen [14]

Note: Consider we need to find the vertices of the triangle A'B'C'

Given:

Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.

Triangle A,B,C with vertices at A(-3, 6), B(2, 9), and C(1, 1).

To find:

The vertices of the triangle A'B'C'.

Solution:

If triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C', then

(x,y)\to (y,-x)

Using this rule, we get

A(-3,6)\to A'(6,3)

B(2,9)\to B'(9,-2)

C(1,1)\to C'(1,-1)

Therefore, the vertices of A'B'C' are A'(6,3), B'(9,-2) and C'(1,-1).

7 0
3 years ago
The graph shows the cost per day for renting a car. Which statement is true
Angelina_Jolie [31]
Where is the graph and statements?
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Which of the following numbers is the least amount? <br><br> 2/3,2,-1/2,-1,3
S_A_V [24]

Answer: -1 is the least amount

Step-by-step explanation:

The negative numbers are going to be least compared to the positive numbers<em> :)</em>

<em></em>

6 0
3 years ago
A candle is lit and burns and the length of the candle changes at a constant rate of -1.5 inches per hour. 2 hours after the can
BartSMP [9]

Answer:

L = -1.5 \frac{in}{hr} t + 11.2

Step-by-step explanation:

For this case we need to define some notation:

L represent the remaining length of the candle in inches

t represent the time in hours that have elapsed since the candle was lit.

For this case we assume that L and f are related so then we can write this like that: L =f(t) L is a function of t.

And for this case we have a constant rate given of:

m = \frac{\Delta L}{\Delta t}= -1.5 \frac{in}{hr}

And we know a initial condition L(2) = 8.2 in

So then since we have a constant rate of change we can use a linear model given by:

L = m t +b

Where m is given and we need to find b. If we use the initial condition we have this:

8.2 = -1.5 \frac{in}{hr} (2) +b

And solving for b we got:

b = 8.2 +1.5*2=11.2 in

So then our lineal model would be given by:

L = -1.5 \frac{in}{hr} t + 11.2

7 0
3 years ago
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