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3 years ago

A rectangular prism has a length of 5 cm, a width of

2 answers:

8 0

A rectangular prism has a length of 5 cm, a width of
2.
cm, and a height of 1 cm
cm.
Which expressions can be used to find the volume of the prism?
Select each correct answer.
5 • 2 1/2
12 1/2 • 1 1/2
1 1/2 (5 + 2 1/2)
1/2 (12 1/2 • 1 1/2)

valentinak56 [21]3 years ago

3 0

Answer:

I tjink think the answer is 11/2(5+2 1/2)

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Find the value of x and y

Natalija [7]

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

What does the information want:

value of x
value of y

Let's gather some information:

ΔA'BC' and ΔABC are similar triangles

⇒ Angle B is shared by both triangles

⇒ Angle A' and A are the same, as they are both on parallel

lines, A'C' and AC, and both angles are formed with the

same line AB

⇒ by the Angle-Angle Theorem*, they are similar triangles

If they are similar triangles:

⇒ their side lengths are proportional to each other

let's find x's value

⇒ let's set up a proportion

$\frac{A'B}{AB} =\frac{A'C'}{AC} \\\frac{30}{x+30} =\frac{14}{22} \\14(x+30) = 30*22\\14x + 420 = 660\\14x = 240\\x = 17.143$

let's find y's value

⇒ let's set up a proportion

$\frac{BC'}{BC} =\frac{A'C'}{AC} \\\frac{y}{y+15} =\frac{14}{22} \\22y=14(y+15)\\22y=14y+210\\8y=210\\y=26.25$

Answer:

x= 17.143
y = 26.25

Hope that helps!

#LearnwithBrainly

5 0

2 years ago

Find f(1/4) if f(x)=4x^2-2/3x please guys explain it to me I cant understand it

Jet001 [13]

Answer:

f(1/4) = 1/12

Step-by-step explanation:

f(x) = 4x^2 - 2/3 x is a function. The name of the function is simply the letter f. It tells you a rule. f(x) is the same as y.

It is the same as having

y = 4x^2 - 2/3 x

For each value of x you are given, you can calculate a corresponding value of y. Instead of calling y, y, we call y "f(x)" which is a way of showing that this relation is a function.

If you were given

y = 4x^2 - 2/3 x and were asked to find the value of y when x = 1/4, what would you do?

You would substitute 1/4 for x in the expression 4x^2 - 2/3 x, and you'd find the value of y.

Being asked to find f(1/4) for function f(x) = 4x^2 - 2/3 x means exactly the same. It means what is the value of the function when x = 1/4? What is the y value corresponding to an x value of 1/4?

Let's calculate it:

f(x) = 4x^2 - 2/3 x

To show we are evaluating the function at an x value of 1/4, we use the notation f(1/4). f(1/4) means find the value of y for function f when x = 1/4. We replace x with 1/4 and do the math.

f(1/4) = 4(1/4)^2 - (2/3)(1/4)

f(1/4) = 4(1/16) - 2/12

f(1/4) = 4/16 - 2/12

f(1/4) = 1/4 - 2/12

f(1/4) = 3/12 - 2/12

f(1/4) = 1/12

6 0

3 years ago

Triangles LMN and NWR are right triangles. What is

Sever21 [200]

Answer:

NW = 15.6 cm

Step-by-step explanation:

If ΔLMN ~ ΔNWR then:

$\sf LN : LM = RN : RW$

$\implies \sf \dfrac{LN}{LM}=\dfrac{RN}{RW}$

$\implies \sf \dfrac{10}{24}=\dfrac{6}{RW}$

$\implies \sf 10RW=6 \cdot 24$

$\implies \sf RW = 14.4\:cm$

Find NW by using Pythagoras' Theorem:

$a^2+b^2=c^2$

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = RN = 6 cm
b = RW = 14.4 cm
c = NW

Substituting the given values into the formula and solving for NW:

$\implies \sf 6^2+14.4^2=NW^2$

$\implies \sf NW^2=243.36$

$\implies \sf NW=\sqrt{243.36}$

$\implies \sf NW=15.6\:cm$

4 0

2 years ago

Read 2 more answers

50 pts, trigonometry

trasher [3.6K]

sin(0) = opposite/hypotenuse = 2/5

cos(0) = adjacent/hypotenuse = sqrt21/5

tan(0) = opposite/adjacent = 2/sqrt21 * sqrt21/sqrt21 = 2sqrt21/21

cot(0) = adjacent/opposite = sqrt21/2

sec(0) = hypotenuse/adjacent = 5sqrt21/21

5 0

3 years ago

Read 2 more answers

Draw a shape with 4 congruent angles, but only opposite sides are congruent

ANEK [815]

A trapezoid falls under the definition.
Hope it helped!

~JustastudentXD

4 0

3 years ago