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3 years ago

A wooden roller coaster at a theme park has a height restriction: passengers must be at least 45 inches tall.

1 answer:

4 0

H≥45 in

...

Place a solid dot at 45, because 45 in is part of the solution set, then extend a positive line from that dot going to the right.

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Two identical triangles form a parallelogram with a base of 8 Inches and a height of 6 inches.What is the area of one triangle?

dedylja [7]

Answer: The area of the triangle is 24 square inches

Step-by-step explanation:

Hi, since the 2 triangles form a parallelogram ( see attachment) we have the base and height of the triangles, we have to apply the next formula:

Area of a triangle; (base x height) /2

Replacing with the values:

A = (8x6 )/2

A = 48 /2

A = 24 square inches

The area of the triangle is 24 inches

Feel free to ask for more if needed or if you did not understand something.

4 0

2 years ago

Given sin(−θ)=−1/6 and tanθ=−√35/35 What is the value of cosθ?

murzikaleks [220]

Answer:

$cos(\theta)=-\frac{\sqrt{35} }{6}$

Step-by-step explanation:

Recall the negative angle identity for the sine function:

$sin(- \theta)=-sin(\theta)$

Then, we can find the value of $sin(\theta)$ :

$sin(\theta)=-sin(-\theta)\\sin(\theta) =-(-\frac{1}{6} )\\sin(\theta)= \frac{1}{6}$

Now recall the definition of the tangent function:

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

Therefore, now that we know the value of $sin(\theta)$ , we can solve in this equation for $cos(\theta)$

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}\\-\frac{\sqrt{35} }{35} =\frac{1/6}{cos(\theta)} \\cos(\theta)=-\frac{\frac{1}{6} }{\frac{\sqrt{35} }{35} } \\cos(\theta)=-\frac{35}{6\,\sqrt{35} } \\cos(\theta)=-\frac{\sqrt{35} }{6}$

5 0

2 years ago

Help please and thank you !

blsea [12.9K]

I can’t see it properly

4 0

2 years ago

Explain how finding 4 times 384 can help you find 4 times 5,384

Lubov Fominskaja [6]

5384=5000+384

4 * 5384 = 4(5000+384) = 4 * 5000 + 4 * 384

4 * 5000 = 20000

20000 + 4 * 384

So to find 5384 * 4, you add 20000 to 4*384. Less calculations

8 0

3 years ago

Which expressions are equivalent to 3x + 2(x − 1) − 4? A.) 3x + 2x - 2 - 4 B.) 5x - 6 C.) 3(x - 4) D.) 3(x + 2) - 6 E.) 6(x - 1)

sasho [114]

<span>Multiplication takes precedence
</span>Execute the command multiplication bracket

3x + 2* (x - 1) - 4 =
3x + 2* x + 2* (-1 ) - 4 =
3x + 2x - 2 - 4 =

<span>We reduce similar words
</span>
3x + 2x - 2 - 4 =
5x - 6

Answer B

3 0

3 years ago

Read 2 more answers