Solve each proportion
5/t = t/45

Answers

Answer 1

Answer: $45t\cdot \frac { 5 }{ t } =\frac { t }{ 45 } \cdot 45t\n \n 225={ t }^( 2 )\n \n t=\pm \sqrt { 225 } \n \n t=\pm 15$

Answer 2

Answer: t = 15 or -15 because you solve proportions by cross multiplying. if you write it out in the following way:

5 t
__= __
t 45

Then, cross multiplying involves multiplying the numerator( number at the top) of one of the fractions with the denominator (number at the bottom) of the other, and setting the two results equal to each other. You get t * t = 5 * 45 and end up with t^2 = 225 or t = (15 or -15)

A, B, C

Step-by-step explanation:

$a^(m)/(n)=\sqrt[n]{a^m}\n\n(a^n)^m=a^(nm)\n\na^n\cdot a^m=a^(n+m)\n\n========================$

$16^(5)/(2)=\sqrt[2]{16^5}=√(16^5)\to\boxed{B}\n\n16=4^2\to16^(5)/(2)=\left(4^2\right)^(5)/(2)=4^{2\cdot(5)/(2)}=4^5\to\boxed{A}\n\n16^(5)/(2)=16^{2(1)/(2)}=16^{2+(1)/(2)}=16^2\cdot16^(1)/(2)=\left(16^2\right)\left(16^(1)/(2)\right)\to\boxed{C}$

How to divide fractions
2/5 divided by 6/7

Answers

Flip the second fraction and then multiply the numerator and denominators
$(2)/(5) / (6)/(7) =$ $(2)/(5) * (7)/(6)$
$(14)/(30)$
$(7)/(15)$

you keep, change, and flip. you keep 2/5 and change the division sign to multiplication sign. After that flip 6/7 into 7/6. then multiply it. Hope that helped:)

Compare ratios and rates by finding equivalent ratios and rates with a common_________ . Make predictions by finding a _________ and multiplying by it.

Answers

Answer:

Find the same denominator

Multiple

Step-by-step explanation:

what is the answer for:

r = 9 ft

r = 21 m

d = 30 cm

d = 24 cm

r = 15.2 in

r = 16.01 ft

please answer them i just want the answer like example the answer for r= 9 ft is 56.52 ft

thanks!!!

Answers

$r-a\ radius\ of\ the\ circle\n\nd-a\ diameter\ of\ the\ circle\n\na\ circumference\ of\ the\ circle:2\pi r=d\pi\n\nr=9ft\to2\pi r=2\pi\cdot9=18\pi\approx18\cdot3.14=56.52\ (in)\n\nr=21\ m\to2\pi r=2\pi\cdot21=42\pi\approx42\cdot3.14=131.88\ (m)\n\nd=30cm\to d\pi=30\pi\approx30\cdot3.14=94.2\ (cm)\n\nd=24cm\to d\pi=24\pi\approx24\cdot3.14=75.36\ (cm)\n\nr=15.2\ in\to 2\pir=2\pi\cdot15.2=30.4\pi\approx30.4\cdot3.14=95.456\ (in)\n\nr=16.01\ ft\to2\pi r=2\pi\cdot16.01=32.02\pi\approx32.02\cdot3.14=100.5428(ft)$

Angle S is 90 degrees and angle T is 45 degrees. side ST is 3 ft. how long is side SU

Answers

ANSWER

|SU|=3ft

EXPLANATION

Triangle TSU is an isosceles right triangle.

Because one of the angles in the right triangle is 45°.

This means that the third angle is also 45°.

This implies that that |ST|=|SU|

The reason is that isosceles triangle has the base angles equal and the arms on these angles are equal.

Each day, Martin lifts weights for 10 minutes and runs on the treadmill for 25 minutes. Wrire two equivalent expressions and then find the total minutes that Martin exercises in 7 days.

Answers

10 x 7 = ?(70) 25 x 7 = ?(175) 175 + 70 = 245

Final answer:

Martin spends 35 minutes exercising daily. Two equivalent expressions to find his exercise time in 7 days are '7 * 35' and '(7 * 10) + (7 * 25)'. Thus, Martin exercises for a total of 245 minutes in 7 days.

Explanation:

First, let's determine the total amount of time Martin exercises daily. He lifts weights for 10 minutes and runs on the treadmill for 25 minutes. Thus, the total time he spends exercising each day is 10 minutes (weightlifting) + 25 minutes (treadmill) = 35 minutes.

Two equivalent expressions for Martin's total exercise time in 7 days can be represented as: