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The triangle with side lengths of 10 in., 12 in., and 15 in. is acute because 10^2 + 12^2 > 15^2

An acute angle is defined as the measure of an angle that is less than 90 degrees.

The side lengths of the triangles are 10, 12 and 15

The smallest side lengths are: 10 and 12

The sum of the squares of these side lengths is

[tex]10^2 + 12^2[/tex]

For the triangle to be acute, then the following must be true

[tex]10^2 + 12^2 > 15^2[/tex]

Evaluate the exponents

[tex]244 < 255[/tex]

The above inequality is true.

Hence, the triangle is acute because 10^2 + 12^2 > 15^2

Read more about triangles here;

brainly.com/question/17972372

Answer:

n = 3

Step-by-step explanation:

2 goes into 6, 3 times

The sum of the fraction expression is equal to 5/(y+5) then the correct option is C.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The expression is given as

[tex]\rm \dfrac{3y}{y^2+7y+10} + \dfrac{2}{y+2}[/tex]

Then the sum of the expression is given as

[tex]\rm \rightarrow \dfrac{3y}{y^2+7y+10} + \dfrac{2}{y+2}\\\\\\\rightarrow \dfrac{3y}{(y+2)(y+5)} + \dfrac{2}{y+2}\\\\\\\rightarrow \dfrac{3y + 2(y+5)}{(y+2)(y+5)}\\\\\\\rightarrow \dfrac{5y+10}{(y+2)(y+5)}\\\\\\\rightarrow \dfrac{5(y+2)}{(y+2)(y+5)}\\\\\\\rightarrow \dfrac{5}{(y+5)}[/tex]

More about the fraction number link is given below.

https://brainly.com/question/78672

Answer:

C on edge 2022

Step-by-step explanation:

5/y+5

Answer:

3.6%

Step-by-step explanation:

^

Answer:

kevin = 8 - hope this helped

:)

Step-by-step explanation:

Kevin = 4d  Kevin is 4 times as old as Daniel

Kevin = d + 6  Kevin is 6 years older than Daniel

4d = d + 6 They both equal K, so they are equal

3d = 6 subtracts D from both sides

d=6/3 = 2

If Daniel is 2 then Kevin is 4x2=8

If Daniel is 2 then Kevin is 2+6 = 8

Kevin is 8

Daniel is 2

If the square sum of the perpendicular and base is less than the square of hypotenuse then the angle will be an obtuse angle. Then the correct option is C.

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. And it is given as

P² + B² = H²

A triangle with side lengths of 6 cm, 10 cm, and 12 cm.

We know that if the square sum of the perpendicular and base is greater than the square of hypotenuse then the angle will be an acute angle.

Ans if the square sum of the perpendicular and base is less than the square of hypotenuse then the angle will be an obtuse angle.

Then we have

6² + 10² < 12²

Then the angle will be an obtuse angle.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

Answer: C

Explanation: Obtuse, because 6^2+10^2<12^2

There's no convincing evidence at 0.05 significance level that this brand of toilet paper will require less than 26 squares.

A significance level simply means is the probability that an event has occured by chance.

In this case, there's convincing evidence at 0.05 significance level that this brand of toilet paper will require less than 26 squares to absorb 1/4 cup of water. Therefore, we fail to reject the null hypothesis.

A type of error that may have been made is type II error. This is the non rejection if the null hypothesis when it's false.

Learn more about significance level on:

https://brainly.com/question/9163177

Answer:

[tex]\boxed{\sf 200\pi}[/tex]

Step-by-step explanation:

We know that the volume of a cone:-

[tex]\boxed{\sf \pi r^2\cfrac{h}{3}}[/tex]

(r = 10) (h = 6)

[tex]\sf \pi \times 10^2\times\cfrac{6}{3}[/tex]

Divide numbers:-

[tex]\sf \cfrac{6}{3}=\boxed{2}[/tex]

[tex]\sf 10^2\times \:2\pi[/tex]

[tex]\sf 100\times \:2\pi[/tex]

Multiply numbers:-

[tex]\boxed{\sf 200\pi}[/tex]

Therefore, your answer is 200π³

We could also multiply 200 by 3.14 which will give you 628 units³.

Answer:

f^(-1) (x) = (x-1)²+6    x≥6

Step-by-step explanation:

y=√(x-6) +1 original for the inverse x and y switch places because you are rflecting the function over the line y=x

y=√(x-6) +1 now the job is solve for y by using inverse operations. Think about undoing the equation.

x-1=√(y-6) subtract 1

(x-1)²=y-6 square both sides of the equation

(x-1)²+6=y add 6 to both sides

x≥6 because we are only using real numbers and if x is less than 6 you get a negative number under the square root sign.

Answer:

the cost in dollar of each adult admission ticket will cost $5.8

Answer:

im not sure , sorry

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

Graphing inequality:

1) First plot y = 2x + 3 as a dotted line as y is less than x

Put x = 0, y = 2*0 +3 = 0 + 3 = 3    ⇒  (0, 3)

Put x = 1  , y = 2*1 + 3 = 2 +3  = 5    ⇒(1 , 5)

Put x = -1,  y =2*(-1)+3 ⇒ -2+3 = 1    ⇒ (-1,1)

Mark these three points, and draw a dotted line.

2) Shade the area bellow the dotted line as y < 2x + 3

Check: take a point in the shaded area. (1 , -1)

    -1 < 2*1 + 3

   -1 < 2 +3

   -1 < 5

The condition is satisfied.

Answer:

87.22 hopee helps

Step-by-step explanation:

Hey there!

-5s = -13

DIVIDE -5 to BOTH SIDES

-5s/-5 = -13/-5

CANCEL out: -5/-5 because it give you 1

KEEP: -13/-5 because it help solve for the s-value

NEW EQUATION: s = -13/-5

SIMPLIFY IT!
s = 13/5

Therefore, your answer is: s = 13/5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Isolate the term of s from one side of the equation.

First, you have to divide by -5 from both sides.

→ -5s/-5=-13/-5

Solve.

Divide the numbers from left to right.

→ -13/-5=13/5

[tex]\Longrightarrow: \boxed{\sf{s=\dfrac{13}{5} }}[/tex]

I hope this helps! Let me know if you have any questions.

w = 28

solving stepwise:

[tex]\dashrightarrow \sf \ \ 34-w=6[/tex]

[tex]\dashrightarrow \sf \ \ -w=6-34[/tex]

[tex]\dashrightarrow \sf \ \ -w=-28[/tex]

[tex]\dashrightarrow \sf \ \ w=28[/tex]

Answer:

Step-by-step explanation:

Given equation:

Substact 6 both sides:

Subtract 28 both sides:

Multiply -1 both sides:

Answer:

that don't even make sense

Answer:

[tex]y^{\frac{3}{7}}[/tex]

Step-by-step explanation:

[tex]\sqrt[7]{y^3}=y^{\frac{3}{7}}[/tex]

The root of the radical will become the denominator of the exponent fraction and the power of the radical will become the numerator of the exponent fraction

7 ---> is the root of the radical

3 is the power of the radical

Answer:

(2,-1)

Step-by-step explanation:

It'd be moved into the 4th quadrant, which is +-

Answer:

It should be ( -1, 2) because it is rotated about -90 degrees.

Step-by-step explanation:

Brainliest Please

The volume of the pyramid would be 128 cm^3.

Answer:

k = 5

Step-by-step explanation:

Plugging in 5 for k turns out positive 5 into a negative 5 because of the negative sign in the function. When k is negative, then the graph moves down.

Answer:

  31.6°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the trig function relating the sides opposite and adjacent an acute angle in a right triangle. It tells you ...

  Tan = Opposite/Adjacent

__

The tangent of angle B is ...

  tan(B) = AC/CB

  tan(B) = 28.2/45.8

The angle is found from the tangent using the inverse tangent function.

  B = arctan(28.2/45.8) ≈ 31.621°

The measure of angle B is about 31.6°.

Step-by-step explanation:

A = 1/2*h(base + base)

First step, plug in your numbers:

1/2*(3)(5 + 9)

Add inside the parenthesis:

1/2*(3)(14)

Multiply 3 x 14:

1/2*(42)

Lastly, multiply:

A = 21 m^2

Hope this helps you :)

Hey Mate ,

In this particular question we have to find the area of a trapezoid.

The formula for finding the area is 1/2(a+b)h

Here ,

Now putting all the values in the formula

Area :- 1/2(5+9)3

Area :- 21m²

Answer:

The Correct A nswer Is... Carl Linnaeus

Step-by-step explanation:

Answer:

36°

Step-by-step explanation:

A triangle'a angle must add up to 180.

So 97+47=144

180-144= 36°

Answer:

36

Step-by-step explanation:

97 + 47 + x = 180

x = 180 - 144

x = 36

Answer:

D imperfections

Step-by-step explanation:

i did the practice test:)

Answer:

The asnwer is D!^^

Step-by-step explanation:

Pattern of the birds she saw:

Continuation

Answer:

11

Step-by-step explanation:

y^2 - x^2

y = 6, x = 5

6^2 - 5^2

When using exponets we multiply a number by itself as many times as the exponet says, so in this case we multiply 6 x 6 and 5 x 5

6 x 6 = 36  5 x 5 = 25

36 - 25 = 11

Hope this helps!

breadth = 5cm

hope it helps...!!!