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3 years ago

Please help me with this.

Mathematics

1 answer:

Lelechka [254]3 years ago

8 0

It takes 12 minutes to fill the bathtub!!

hope this helps ;))

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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

Help me out hereeeeeeeeeeeeeeeeeeee

r-ruslan [8.4K]

Answer:

$8\frac{1}{5} acres$

Step-by-step explanation:

$7\frac{1}{4} + 3\frac{1}{5} - 2 \frac{1}{4} \\\\7\frac{1}{4} - 2 \frac{1}{4} = 5\\\\then:\\\\7\frac{1}{4} + 3\frac{1}{5} - 2 \frac{1}{4} = 5 + 3\frac{1}{5} = 8 \frac{1}{5}$

8 0

3 years ago

Read 2 more answers

Help with the area please

Gnoma [55]

i think its 58 or 70 sorry if i am wrong

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

An inscribed angle has a measure of 48°. Determine the measure of the intercepted arc.

BabaBlast [244]

An inscribed angle has a measure of 1/2 of the intercepting arc. Since our angle is 48°, we can set up the equation $48=\frac{1}{2}x$ to represent this. Divide both sides by 1/2:
$\frac{48}{\frac{1}{2}}=\frac{\frac{1}{2}x}{\frac{1}{2}}
\\ 48 \div \frac{1}{2} = x
\\ \frac{48}{1} \div \frac{1}{2} = x
\\ \frac{48}{1}*\frac{2}{1} = x
\\ \frac{96}{1}=x
\\ 96=x$
The measure of the intercepted arc is 96°.

3 0

3 years ago

Sav [38]

Answer:

4.8 hours

Step-by-step explanation:

3 0

3 years ago