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2 years ago

12

Geoff charges $27 for 3 hours of swimming lessons. Anne charges $31 for 4 hours. How much more does Geoff charge per hour than A

nne?
Write the rate as a fraction. Then find the unit rate.

1 answer:

Blababa [14]2 years ago

4 0

$1.25. If you divide each price by the hour amount then subtract the higher one, you will get your answer.

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Artyom0805 [142]

Answer:

3x+3=2x

Step-by-step explanation:

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2 years ago

Read 2 more answers

T F IfA and B are similar matrices, then AT=BT

muminat

Answer:

Step-by-step explanation:

We know that for two similar matrices $A$ and $B$ exists an invertible matrix $P$ for which

$[tex]B = P^{-1} AP$ [/tex]

∴ $B^{T} = (P^{-1})^{T} A^{T} P^{T} \\$

Also $P^{-1}P = I\\$

and $(P^{-1})^{T} = (P^{T})^{-1}$

∴ $(P^{-1})^{T}P^{T} = I$

so, $B^{T} = (P^{-1})^{T} A^{T} P^{T} = (P^{T})^{-1}A^{T} P^{T}\\B^{T} = A^{T} I\\B^{T} = A^{T}$

7 0

2 years ago

Solve the following triangle. Given A=51 degrees b=40 c=45

STALIN [3.7K]

Answer:

$a=36.87\ units$

$B=57.47^o$

$C=71.53^o$

Step-by-step explanation:

step 1

Find the length side a

Applying the law of cosines

$a^2=b^2+c^2-2(b)(c)cos(A)$

substitute the given values

$a^2=40^2+45^2-2(40)(45)cos(51^o)$

$a^2=1,359.4466$

$a=36.87\ units$

step 2

Find the measure of angle B

Applying the law of sines

$\frac{a}{sin(A)} =\frac{b}{sin(B)}$

substitute the given values

$\frac{36.87}{sin(51^o)} =\frac{40}{sin(B)}$

$sin(B)=\frac{sin(51^o)}{36.87}{40}$

$B=sin^{-1}(\frac{sin(51^o)}{36.87}{40})=57.47^o$

step 3

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

$A+B+C=180^o$

substitute the given values

$51^o+57.47^o+C=180^o$

$108.47^o+C=180^o$

$C=180^o-108.47^o=71.53^o$

5 0

3 years ago

If N=b/d(squared) write down in terms of b and d

Paladinen [302]

B. The square root of N

8 0

3 years ago

What is the area of the trapezoid?<br><br> B1=12<br> B2=6<br> H=4

Oliga [24]

The formula for the area of a trapezoid is 1/2 (b1 + b2) h
So, take your b1 and b2, 12 and 6, and add them together. You get 18.
Divide this by 2, and you get 9.
Now, multiply 9 by your height, which is 4.
9 x 4 = 36.
The area of the trapezoid is 36 square inches.

3 0

2 years ago