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3 years ago

Determine the missing side length of the triangle please and thank you!

Mathematics

2 answers:

Vlada [557]3 years ago

7 0

Answer:

8.944

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side.

$a^{2} +b^{2} =c^{2} \\x^{2} +8^{2} =12^{2} \\x^{2} = 12^{2} -8^{2}\\x=8.944$

Inga [223]3 years ago

6 0

Answer:

Step-by-step explanation:

It is a right angle

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Lee has a jar of 100 pennies. She adds groups of 10 pennies to the jar. She adds 5 groups. What numbers does she say?

Alenkinab [10]

150 pennies in the jar .

4 0

3 years ago

A carpenter bought 750 nails. Each nail has a mass of 5.2×10−3 kilogram. What is the total mass, in kilograms, of the nails the

lawyer [7]

The total mass, in kilograms, of the nails the carpenter bought is 3.9 kilogram

<h3><u>Solution:</u></h3>

Given that carpenter bought 750 nails

Each nail has a mass of $5.2 \times 10^{-3}$ kilogram

To find: total mass, in kilograms of the nails bought

The total mass of the nails bought can be found out by multiplying number of nails bought by mass of each nail

Number of nails bought = 750

Mass of each nail = $5.2 \times 10^{-3}$ kilogram

total mass of the nails bought = number of nails bought x mass of each nail

$\text {total mass of the nails bought }=750 \times 5.2 \times 10^{-3}$

$\text {total mass of the nails bought }=3900 \times 10^{-3}=\frac{3900}{1000}=3.9$

Thus the total mass of nails bought is 3.9 kilogram

4 0

3 years ago

Which is the simplified form of the expression ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript nega

AlekseyPX

Answer:

The option "StartFraction 1 Over 3 Superscript 8" is correct

That is $\frac{1}{3^8}$ is correct answer

Therefore $[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2=\frac{1}{3^8}$

Step-by-step explanation:

Given expression is ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline) (3 squared)) squared

The given expression can be written as

$[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2$

To find the simplified form of the given expression :

$[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2$

$=(2^{-2})^{-3}(3^4)^{-3}\times (2^{-3})^2(3^2)^2$ ( using the property $(ab)^m=a^m.b^m$ )

$=(2^6)(3^{-12})\times (2^{-6})(3^4)$ ( using the property $(a^m)^n=a^{mn}$

$=(2^6)(2^{-6})(3^{-12})(3^4)$ ( combining the like powers )

$=2^{6-6}3^{-12+4}$ ( using the property $a^m.a^n=a^{m+n}$ )

$=2^03^{-8}$

$=\frac{1}{3^8}$ ( using the property $a^{-m}=\frac{1}{a^m}$ )

Therefore $[(2^{-2})(3^4)]^{-3}\times [(2^{-3})(3^2)]^2=\frac{1}{3^8}$

Therefore option "StartFraction 1 Over 3 Superscript 8" is correct

That is $\frac{1}{3^8}$ is correct answer

6 0

4 years ago

Read 2 more answers

Compare these rational numbers. Which of the following are true?

Inessa [10]

Answer:

i. false

ii. true

iii. true

iv. false

When comparing negative numbers, if you disregard the negative sign, the apparent greater value will actually be the smaller.

6 0

3 years ago

PLZ ANSWER! REALLY NEED HELP AND WILL MARK BRAINLIEST!!! PLZZZZZ!!!

olga nikolaevna [1]

Answer:

Step-by-step explanation:

1) the slope-interception form of the given line is:

y=s*x+i, where s - the slope, i - interception;

according to the condition it is

y=1/8*x+i;

2) if to substitute the coordinates of the given point (-10;4) into the slope-interception form, then:

4=1/8* (-10)+i, ⇒ i=21/4;

the equation of the given line is:

y=1/8*x+21/4

3) according to the condition the given point with the coordinates (-6;w) belongs to the line. It means, it is possible to substitute its coordinates into the equation, then calculate the value of the 'w':

w=1/8*(-6)+21/4; ⇒ w=9/2.

Answer C. 9/2

Note: the suggested option is not the only.

6 0

3 years ago

Read 2 more answers