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3 years ago

5

A truck that can carry no more than 6900 lb is being used to transport refrigerators and upright pianos. Each refrigerator weigh

s 300 lb and each piano weighs 475 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 10 refrigerators and 10 pianos overload the truck? Explain. Help, I'm so confused because I dont have my notes.

1 answer:

Sloan [31]3 years ago

8 0

Well, first, you need to add up the amount of ten fridges and ten pianos. than you see if its heavier or lighter... > or <....... do you remember how to graph?

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Tju [1.3M]

Answer:

64x^127

Step-by-step explanation:

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2 years ago

The sales tax in New Jersey is 6%. For a $16 book, what will the total cost be, including sales tax?

Rasek [7]

<span>The sales tax in New Jersey is 6%. For a $16 book, what will the total cost be, including sales tax?
Solutions:
=> 16 dollars is the amount of book
=> 6% is the sales tax which is equals to (6% / 100% = 0.06)
Let’s follow the formula to get the total amount to be paid.
=> 16 dollars * .06 = .96 dollars
Now, let’s add this together:
=> .96 + 16 dollars = 16.96 dollars.</span>

5 0

3 years ago

Read 2 more answers

Simplify cos^2 A/1+sin A

Stels [109]

Answer:

$\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)$

Step-by-step explanation:

We want to simplify:

$\displaystyle \frac{\cos^2(A)}{1+\sin(A)}$

Recall the Pythagorean Identity:

$\sin^2(A)+\cos^2(A)=1$

So:

$\cos^2(A)=1-\sin^2(A)$

Substitute:

$\displaystyle =\frac{1-\sin^2(A)}{1+\sin(A)}$

Factor. We can use the difference of two squares pattern:

$\displaystyle =\frac{\left(1-\sin(A))(1+\sin(A))}{1+\sin(A)}$

Cancel. Hence:

$\displaystyle \frac{\cos^2(A)}{1+\sin(A)}=1-\sin(A)$

7 0

2 years ago

Find the area of △LKJ.

nirvana33 [79]

Answer:

$A=600\: u^{2}$

<u>The correct answer is letter c.</u>

Step-by-step explanation:

The area equation of a triangle is given by:

$A=\frac{bh}{2}$ (1)

Where:

b is the base

h is the height

Let's find first the angle MJK (α), using the tangent definition.

$tan(\alpha)=\frac{24}{32}$

$\alpha=tan^{-1}(\frac{24}{32})$

$\alpha=36.9^{\circ}$

Now, if α = 37° then β (angle JLK) must be:

$37^{\circ} + \beta + 90^{\circ}=180^{\circ}$

$\beta=53^{\circ}$

Now, we can find the distance ML using again the tangent definition:

$tan(\beta)=\frac{24}{ML}$

$ML=\frac{24}{tan(53)}$

$ML=18$

The base of the triangle LKJ will be:

$b=32+ML=32+18=50$

Therefore, using equation (1) the area of △LKJ will be:

$A=\frac{50*24}{2}$

$A=600\: u^{2}$

The correct answer is c.

I hope it helps you!

5 0

3 years ago

Mnenie [13.5K]

<u>Given</u>:

Given that the radius of the sphere is 9 cm

We need to determine the volume of the sphere.

<u>Volume of the sphere:</u>

Let us determine the volume of the sphere.

The volume of the sphere can be determined using the formula,

$V=\frac{4}{3} \pi r^3$

where r is the radius of the sphere.

Substituting r = 9 in the above formula, we get;

$V=\frac{4}{3} \pi (9)^3$

$V=\frac{4}{3} \pi (729)$

$V=\frac{2916}{3} \pi$

$V=972 \pi$

Thus, the volume of the sphere is 972π cm³

Hence, Option B is the correct answer.

7 0

3 years ago