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3 years ago

(03.01 LC) What is the length of leg y of the right triangle? (1 point)

Mathematics

1 answer:

EastWind [94]3 years ago

4 0

Answer:

Step-by-step explanation:

The complete question is

What is the length of leg y of the right triangle?

A right triangle with hypotenuse 26 and legs 24 and y

We need to use the Pythagorean Theorem, where $h=26$ and $x=24$ ,

$h^{2} =x^{2} +y^{2}\\ 26^{2}=24^{2}+y^{2}\\y=\sqrt{26^{2}-24^{2}}\\ y=\sqrt{676-576}\\ y=\sqrt{100}\\ y=10$

Therefore, the right answer is A. The length of the missing leg is 10 units.

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If you need 30 teaspoons of vanilla extract and vanilla is sold in a 4 oz. bottle, how many bottles of vanilla should you buy?

olya-2409 [2.1K]

You would need two bottles, because 4 ounces is the same as 24 teaspoons, so if you buy two bottles for 30 teaspoons you will have 18 teaspoons left (3 ounces) I hope this helps!

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3 years ago

The function h(x) is given below.

viva [34]

The inverse function will be h⁻¹(x) = { ( 3, -5 ) , ( 5, -7),( 6 ,-9),( 10,-12),(12,-16)}.

<h3>What is function?</h3>

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given function is:-

h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}

The inverse function is given as:-

h(x,y) = h⁻¹( y,x )

So the inverse function will be:-

h⁻¹( x, y ) = { ( 3, -5 ) , ( 5, -7),( 6 ,-9),( 10,-12),(12,-16)}.

Therefore inverse function will be h⁻¹(x) = { ( 3, -5 ) , ( 5, -7),( 6 ,-9),( 10,-12),(12,-16)}.

To know more about function follow

brainly.com/question/2833285

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2 years ago

Which inequality is true when the value of d is 14?

shutvik [7]

Answer:

-d - 9 < 1.5

Step-by-step explanation:

In this problem, my reasoning is shown below for each individual inequality. We can test each one to see if it is true or not.

$-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?\\$

-23 is not greater than 1.5, so it can't be the first one. Let's try the next one.

$-(14)-9$

Yes! -23 is smaller than 1.5. So we can say that the second option is correct. But just for good measure, we can try the other two.

$-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?$

Nope! -23 is not greater than 1.5. Let's try the last one.

$14-9$

And again... nope. 5 is not smaller than -1.5. So our reigning option is -d - 9 < 1.5. Hopefully this was helpful! If you have any more questions, let me know.

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3 years ago

Please help can yall solve this

nataly862011 [7]

I understand this!! The answer is 15. Hope this helps!!

5 0

3 years ago

Can someone help me on this ? its Algebra 1 on exponents

Svetradugi [14.3K]

The volume of a rectangular prism is its length times width times height, or algebraically, $V=lwh$ . You may be used to computing volume with numbers, but remember, a variable is a stand-in for a number. So you can solve this in the same way. Substitute $l=x, w= \frac{x}{2},h= \frac{x}{3}$ into the formula for volume. You get $(x)( \frac{x}{2})( \frac{x}{3} )$ , and you multiply these factors together. As you would with ordinary fractions, multiply the numerators and denominators across. You get $\frac{(x)(x)(x)}{(1)(2)(3)} = \frac{x^3}{6}$ . It seems that the book wants you to simplify by bringing the 6 up to the denominator. Recall the rule $x^{-n}= \frac{1}{x^n}$ , if n is non-negative. The opposite applies so that $\frac{1}{6} = 6^{-1}$ . For your final answer, you write $6^{-1}x^3$ . This corresponds to answer choice B.

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4 years ago