MATHEMATICS HIGH SCHOOL

Friend the missing side of each triangle
Friend the missing side of each triangle - 1

Answers

Answer 1
Answer: √5
Because the triangle is a right triangle, we are able to use the Pythagorean Theorem to find the final side. Keep in mind that we have the hypotenuse and a leg, so we don't need to solve for the hypotenuse, c.

a² + b² = c²   Pythagorean Theorem
√10² + b² = √15²   Substitute
10 + b² = 15   Exponents
b² = 5   Subtract 10 from both sides
b = √5

The missing side is √5.

Hope this helps!
Answer 2
Answer: right trianlge

a^2+b^2=c^2
wher a and b are legs and c=hypotnouse
(hypotonuse is side oposite right angle)

c=√15
one leg is √10, call it a
find x
(√10)^2+b^2=(√15)^2
10+x^2=15
minus 15 both sidees
x^2=5
sqrt both sides
x=√5

x=√5cm

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A canceled US Treasury check for the purchase of Alaska is an example of which of the following? A) personal narrative B) photographic image C) primary source document D) secondary source document

Can someone help me please?

Answers

Answer:

           -5, -1, 3  

Step-by-step explanation:

x + 4 > -2

   -4      -4

x > - 6

so any number larger then -6 satisfy the inequality.

It means integers: -5,-4,-3, -2, -1, 0, 1, 2 3, 4, and so on.

{-6 not because -6 is not >-6}

Kyla applied rm ◦ T0,3 to triangle ABC. What mistakes did she make? Check all that apply.She applied the rotation to the triangle first.
She applied the reflection to the triangle first.
She changed the size of the triangle instead of just applying a translation.
She translated the triangle down instead of just applying a reflection.
She applied a rotation instead of a reflection

Answers

Answer: she applied the reflection to the triangle first

&

she changed the size of the triangle instead of just applying a translation.

Step-by-step explanation:

Answer:

B & C

Step-by-step explanation:

Sam bought brushes for $8, a palette for $5, and oil paints for $15. He paid $29.82 in all. What sales-tax rate did Sam pay?

Answers

first step is to add all the expenses of Sam bought. The sum is equal to 8 + 5 + 15 equal to $28. With the addition of the tax, the tax amounts to a total of $1.82. This means the tax, imposed is $1.82/$28 *100% equal to 6.5 percent

Answer:

6.5

Step-by-step explanation:

A car can travel 300 miles on 10 gallons of gas. The ratio is 300 miles to 10 gallons.Write the ratio given in the problem. Divide both quantities in the ratio by the second quantity in the ratio and write the new ratio. What is this ratio called? Explain.

Answers

Answer:

The new ratio is 30 miles : 1 gallon it called the unit rate          

Step-by-step explanation:

* Lets explain what is the unit rate

- A unit rate describes how many units of the first type of quantity

 equal to one unit of the second type of quantity

- Ex: 3 miles per hour

       $100 per day

       15 students per class

- A unit rate is a rate with 1 in the denominator

- Ex: $20 for 5 pens, the rate is 20 : 5 divide the two terms by the

 denominator 5, then 20 : 5 = 4 : 1 then unit rate is $4 per pen

* Lets solve the problem

- A car can travel 300 miles on 10 gallons of gas

∴ The rate is 300 miles per 10 gallons

- To find the unit rate divide the two terms of the rate by 10

∴ 300 : 10 = 300/10 : 10/10

∴ 300 : 10 = 30 : 1

∴ The unit rate is 30 miles per gallon

* The new ratio is 30 miles : 1 gallon it called the unit rate          

Suppose you invest $4,600 into a savings account with a 8.25% annual interest ratethat compounds interest monthly. Use the TVM solver on your calculator to find the
future value of the account after ten years.

NEED ANSWER ASAP

Answers

Answer:

$10,467.06

Step-by-step explanation:

The computation of the future value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

here

rate of interest = 8.25% ÷ 12 = 0.6875%

And, the number of years is = 12 × 10 = 120

So, the future value is

= $4,600 × (1 + 0.6875%)^120

= $4,600 × 2.275448086

= $10,467.06

Which tables contain correct pairs of input and output values for the function ? Select all the correct answers. Input (x) -1.6 0.4 2.2 3.7 Output f(x) -5.5 2.5 6.75 10.75 Input (x) -2.7 -1.3 0.8 4.4 Output f(x) -5.25 -1.75 3.5 12.5 Input (x) 1.1 2.4 5.3 6.9 Output f(x) 4.25 7.5 11.75 17.25 Input (x) -2.1 0.9 1.7 3.3 Output f(x) -3.75 3.75 5.75 9.75 Input (x) 2.4 3.5 4.6 5.0 Output f(x) 7.5 10.5 12.5 14

Answers

The right answer for the question that is being asked and shown above is that: 
Input (x) -1.6 0.4 2.2 3.7
Output f(x) -5.5 2.5 6.75 10.75

Input (x) 1.1 2.4 5.3 6.9
Output f(x) 4.25 7.5 11.75 17.25

Input (x) 2.4 3.5 4.6 5.0
Output f(x) 7.5 10.5 12.5 14

Answer:

A,C and E

Step-by-step explanation:

i just took the plato test
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