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3 years ago

Someone please help me

Mathematics

1 answer:

o-na [289]3 years ago

3 0

The answer should be 2x -7y is less than or equal to 14. I’m not sure if that’s an answer option. But I couldn’t see it but that’s what I think it should be. I’m sorry if I’m wrong

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Given: FPST is a trapezoid, FP=ST, m∠F=45°, PF=8, PS=10 <br><br> Find: The midsegment MN.

kodGreya [7K]

Answer:

$4\sqrt{2}+10$

Step-by-step explanation:

In trapezoid FPST, FP=ST, then this trapezoid is isosceles, so

$m\angle F=m\angle T=45^{\circ}.$

Draw the height PH. Triangle FPH is right triangle with two angles of measure 45°. This means that FH=HP. By the Pythagorean theorem,

$FH^2+PH^2=PF^2,\\ \\2FH^2=8^2,\\ \\FH^2=32,\\ \\FH=4\sqrt{2}.$

Since trapezoid FPST is isosceles, the base FT hasthe length

$FT=2FH+PS=8\sqrt{2}+10.$

Then the length of the midline is

$MN=\dfrac{FT+PS}{2}=\dfrac{8\sqrt{2}+10+10}{2}=4\sqrt{2}+10.$

8 0

3 years ago

Write two equivalent expressions to represent the perimeter of this rectangle.

gavmur [86]

$p = 2l + 2h \\ \\ p = 2( l + h) \\ \\ p = 3\frac{hl}{h} + 4 \frac{hl}{ l} - l - 2h$

5 0

4 years ago

Read 2 more answers

Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water

Grace [21]

The range of this function is all real numbers such that 0 ≤ y ≤ 40.

<h3>What is a range?</h3>

A range is the set of all real numbers that connects with the elements of a domain. This simply means that, a range is the solution set on the y-axis.

<h3>How to determine the range?</h3>

Based on the table (see attachment), we can logically deduce that when the time (x) is zero (0), the amount of water remaining in the bathtub (y) is 40.

Therefore, the range of this function is all real numbers such that 0 ≤ y ≤ 40.

Read more on range here: brainly.com/question/16610662

#SPJ1

7 0

2 years ago

A section of road covers 18.3 square feet. Each square foot will require 5.1 minutes to repair.

Salsk061 [2.6K]

Answer:I think it’s 61 minutes

Step-by-step explanation:

8 0

3 years ago

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A light plane flew from its home base to an airport 255 miles away. With a head wind, the trip took 1.7 hours. The return

ryzh [129]

The speed from home base to airport was:
$v=255miles/1.7h\ /:1.7\\v=150mph$
The speed from airport to home base was:
$v=255miles/1.5h\ /:1.5\\v=170mph$
Average speed of plane was:
$\frac{170mph+150mph}{2}=160mph$
Average speed of wind was:
$x\ -\ wind\ speed\ (mph)\\150+x=170-x\ /+x\\150+2x=170\ /-150\\2x=20\ /:2\\x=10$
Answer: Average speed of plane was 160mph and average speed of wind was 10mph.

I hope I helped :D

6 0

4 years ago

Read 2 more answers