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3 years ago

Find the missing length

Mathematics

2 answers:

SVEN [57.7K]3 years ago

7 0

$The\: missing\: length\: is\: 5$

leonid [27]3 years ago

4 0

Answer:

? = 5

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

$\frac{21}{7}$ = $\frac{15}{x}$ ( cross- multiply )

21x = 105 ( divide both sides by 21 )

x = 5

That is ? = 5

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A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle

Natali [406]

Answer:

$\sqrt{514} cm$ , 8cm, are both options

Step-by-step explanation:

For a right triangle one can find the length of the longest side by using the Pythagorean theorem. So there are two options I can think of that if the triangle is a right triangle will work. First remember what the Pythagorean theorem is : side a^2+side b^2=hypotenuse^2

The hypotenuse is the longest side of a right triangle. So if the sides that are 15 and 17 cm are not the longest sides then the formula would be:

$15^{2} +17^2=c^2\\15^2+17^2=\sqrt{514}cm$

But if 17cm is the longest side then:

$a^2+15^2=17^2\\8^2+15^2=17^2\\a=8cm$

Hope this helps!

4 0

3 years ago

Read 2 more answers

Identify the index in the radical below.<br> A. 1<br> B. 2<br> C. 3<br> D. 4

marysya [2.9K]

Answer:

It is four/4 I believe D.4

Step-by-step explanation:

3 0

2 years ago

Let f(x) = 7x − 13. Find f−1(x)

motikmotik

$f(x)=7x-13\\\\y=7x-13\ \ \ \ |add\ 13\ to\ both\ sides\\\\y+13=7x\ \ \ \ \ |divide\ both\ sides\ by\ 7\\\\x=\dfrac{y+13}{7}\\\\Answer:f^{-1}(x)=\dfrac{y+13}{7}$

6 0

3 years ago

The paint mixer wants to mix paint that is 30% gloss with paint that is 15% gloss to make 3.75 gallons of paint that is 20% glos

Kipish [7]

The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.

In this question we must determine the correct volumes of each paint to obtain a 20 % gloss with paint by means of weighted averages:

$c_{r} = x\cdot c_{a} +(1-x)\cdot c_{b}$ (1)

Where:

$x$ - Proportion of the paint that is 30 % gloss.
$c_{a}$ - Concentration ratio of the paint that is 30 % gloss.
$c_{b}$ - Concentration ratio of the paint that is 15 % gloss.
$c_{r}$ - Resulting concentration ratio

If we know that $c_{a} = 0.3$ , $c_{b} = 0.15$ and $c_{r} = 0.2$ , then the proportion of the paint that is 30 % gloss is:

$0.2 = 0.3\cdot x +(1-x)\cdot 0.15$

$0.2 = 0.15\cdot x+0.15$

$0.15\cdot x = 0.05$

$x = 0.33$

And the quantity of gallons needed of each paint are:

Paint (30 % gloss)

$V_{a} = 0.33\cdot (3.75\,gal)$

$V_{a} = 1.238\,gal$

Paint (15 % gloss)

$V_{b} = V-V_{a}$

$V_{b} = 3.75\,gal-1.238\,gal$

$V_{b} = 2..512\,gal$

The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.

To learn more on weighted averages, we kindly invite to check this question: brainly.com/question/18554478

8 0

2 years ago

school taxes for a local district are 2.5% of a households income. the smith household earns 80,000. per year. how much do the s

Galina-37 [17]

2.5 % = 2.5/100 = 0.025

Multiply $80k by 0.025, so$2000 if my mental math serves correctly

4 0

2 years ago