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3 years ago

13

Help plzz (30) points for both of the question-plz help - this is life or dead answer

1 answer:

Elodia [21]3 years ago

8 0

Answer:

The answer is B) 11.

Step-by-step explanation:

We can solve this by making an expression to represent the situation. Let x = the number of student books in the box (what we're looking for):

$2.3x + 4.3 + 0.4 = 30$

$2.3x + 4.7 = 30$

$2.3x + 4.7 - 4.7 = 30 - 4.7$

$2.3x = 25.3$

$2.3x/2.3 = 25.3/2.3$

$x = 11$

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Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try

ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$F(-2,5),R(-2,1),O(6,1),G(6,5)$

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

so

$FG=RO=L\\RF=OG=W$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance FG

$F(-2,5),G(6,5)$

substitute the values

$d=\sqrt{(5-5)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$FG=8\ units$

step 2

Find the distance RF

$R(-2,1),F(-2,5)$

substitute the values

$d=\sqrt{(5-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(4)^{2}+(0)^{2}}$

$RF=4\ units$

step 3

Find the perimeter

$P=2(L+W)$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$P=2(8+4)=24\ units$

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

$A=LW$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$A=(8)(4)=32\ units^2$

8 0

3 years ago

If EFH = (5x + 1)°, HFG = 62°, and EFG = (18x + 11)°, find EFH

olga55 [171]

Given:

Consider the below figure attached with this question.

∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°

To find:

The measure of ∠EFH.

Solution:

From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,

$\angle EFG=\angle EFH+\angle HFG$

$18x+11=(5x+1)+(62)$

$18x+11=5x+63$

Isolate variable terms.

$18x-5x=63-11$

$13x=52$

Divide both sides by 13.

$x=\dfrac{52}{13}$

$x=4$

The value of x is 4.

$\angle EFH=(5x+1)^\circ$

$\angle EFH=(5(4)+1)^\circ$

$\angle EFH=(20+1)^\circ$

$\angle EFH=21^\circ$

Therefore, the measure of ∠EFH is 21°.

8 0

3 years ago

The teachers sold 32 tickets this is 80% of the tickets given to the teachers how many tickets were given to the teachers

UkoKoshka [18]

You would give the teacher 40 tickets

6 0

3 years ago

Read 2 more answers

What is the solution to t - 3 ≤ 12?

melisa1 [442]

Answer:

t ≤ 15

Step-by-step explanation:

t - 3 ≤ 12

Add 3 to each side

t-3+3 ≤ 12+3

t ≤ 15

3 0

4 years ago

Read 2 more answers

Need help ASAP!<br> Which inequality is represented by this graph

Nadusha1986 [10]

Answer:

a

the first answer

Step-by-step explanation:

6 0

3 years ago