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Butoxors [25]
3 years ago
10

PLEASE HELLLLLLP!!!!!!!

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
6 0
1. B. (c-8)(c+8)
2. C. 3<span>(2y-5)(2y+5)
3. D. 9</span><span>(y-2)(y+2)
4. C. -</span><span>(x-1)(x-4)
5. D. b(ab-1)

i hope this helps u out!</span>
AVprozaik [17]3 years ago
3 0
The answers for this practice are as follows:

1. B) (x+2)(x+5)

2. C) (x-2)(x-1)

3. D) -(x+5)(x-8)

4. A) 3

5. D) 5b

6. B) (c-8)(c+8)

7. C) 3(2y-5)(2y+5)

8. D) 9(y-2)(y+2)

9. C) -(x-1)(x-4)

10. D) b(ab-1)

Just took the quiz and got all of them right
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In triangle ABC, AC =24, the measure of angle A = 30 degree , and the measure of angle B = 45 degree . Find the area of this tri
andriy [413]

Answer:

142.932

Step-by-step explanation:

given that in triangle ABC, AC =24

Angle A = 30 and Angle B =45

If we draw altitude from C, we get

h = 24sin 30 = 12

Since BC = h (45, 45,90 triangle)

BC=12

By sine formula for triangle

\frac{12}{sin30} =\frac{AB}{sin(180-45-30)} \\AB = 24 sin 105 = 23.1822

Area of triangle

= 1/2 (23.1822)(12)\\= 142.932

6 0
3 years ago
35 degrees + 90 degrees + k
spayn [35]

Answer:

k would be 55

Step-by-step explanation:

35+90=125 and assuming that you're looking for a supplementary angle, the total must equal 180 so subtract 180-125  and you get k=55

5 0
3 years ago
We have 8 yards of wraping paper. if we use 2 feet for each present how many present can we wrap
kirill [66]
We can wrap 12 presents. multiply the number of yards by the feet.
3 0
4 years ago
Read 2 more answers
Ed wants to borrow $20,000 from a bank to open a small gym. Three banks charge different interest rates. To help decide the best
Delicious77 [7]

Answer:

First bank = $6792

City bank = $6803

Star bank = $6817  

Step-by-step explanation:

The lists of banks and their annual interests rates are attached.

For first bank, since the interest is 7.5%, The total interest = 7.5% of $20000 = 0.075 × $20000 = $1500

For city bank, since the interest is 8.2%, The total interest = 8.2% of $20000 = 0.082 × $20000 = $1640

For Star bank, since the interest is 9%, The total interest = 9% of $20000 = 0.09 × $20000 = $1800  

The loan plus interest for the banks annually are:

First bank = $20000 + $1500 = $21500

City bank = $20000 + $1640 = $21640

Star bank = $20000 + $1900 = $21900

The monthly payments for the banks are:

First bank = $21500 / 12 months = $1792

City bank = $21640 / 12 months = $1803

Star bank = $21800 / 12 months = $1817

Since The cost to run the gym each month is $5,000. Ed's total monthly expenses for each loan option = monthly payments + cost for each month. It is calculated as:

First bank = $5000 + $1792 = $6792

City bank = $5000 + $1803 = $6803

Star bank = $5000 + $1817 = $6817  

3 0
3 years ago
A trough of water is 20 meters in length and its ends are in the shape of an isosceles triangle whose width is 7 meters and heig
Vaselesa [24]

Answer:

a) Depth changing rate of change is 0.24m/min, When the water is 6 meters deep

b) The width of the top of the water is changing at a rate of 0.17m/min, When the water is 6 meters deep

Step-by-step explanation:

As we can see in the attachment part II, there are similar triangles, so we have the following relation between them \frac{3.5}{10} =\frac{a}{h}, then a=0.35h.

a) As we have that volume is V=\frac{1}{2} 2ahL=ahL, then V=(0.35h^{2})L, so we can derivate it \frac{dV}{dt}=2(0.35h)L\frac{dh}{dt} due to the chain rule, then we clean this expression for \frac{dh}{dt}=\frac{1}{0.7hL}\frac{dV}{dt} and compute with the knowns \frac{dh}{dt}=\frac{1}{0.7(6m)(20m)}2m^{3}/min=0.24m/min, is the depth changing rate of change when the water is 6 meters deep.

b) As the width of the top is 2a=0.7h, we can derivate it and obtain \frac{da}{dt}=0.7\frac{dh}{dt}  =0.7*0.24m/min=0.17m/min The width of the top of the water is changing, When the water is 6 meters deep at this rate

8 0
3 years ago
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