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Llana [10]
2 years ago
12

In the triangle, angle RST is 90°. RS= 4cm and ST=3 cm. What is the length of RT? R 4 cm S T 3 cm​

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
5 0

Step-by-step explanation:

RT^2=RS^2+ST^2

RT^2=16+9=25

RT=√25=5

The answer is 5

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I need help!!!!!!!!!
MrRissso [65]

9514 1404 393

Answer:

  2.  15 cents/min

  3.  7/4 gallon/week = 1.75 gal/wk

Step-by-step explanation:

You want to convert the units without changing the rate. You do this by making use of conversion factors. Each conversion factor has a value of 1, but changes the units. (It has a value of 1 because the quantity in the numerator is equal to the quantity in the denominator.)

In general, you know that when the numerator and denominator of a fraction are the same thing, they cancel, leaving a value of 1. When a variable (or unit) is involved, the cancelled variables (or units) simply disappear.

For example, multiplying (9 dollars)×(100 cents)/(1 dollar) gives ...

  (9\text{ dollar})\times\dfrac{100\text{ cents}}{1\text{ dollar}}=\dfrac{9\times100\times\text{cents}\times\text{dollar}}{1\times\text{ dollar}}=\dfrac{900\text{ cents}}{1}=900\text{ cents}

The units of "dollar" cancel, leaving cents. Note that we did this by choosing a conversion factor with units we want in the place we want, and units we don't want on the other side of the fraction bar.

__

2) We want cents in the numerator, so our conversion factor will be (100 cents)/(1 dollar). And we want minutes in the denominator, so our other conversion factor will be (1 hour)/(60 minutes). Multiplying by these conversion factors, our rate becomes ...

  \dfrac{\$9}{1\text{ hr}}\times\dfrac{100\text{ cents}}{\$1}\times\dfrac{1\text{ hr}}{60\text{ min}}=\dfrac{9\times100\times1\text{ cents}}{1\times1\times60\text{ min}}\\\\=\dfrac{900}{60}\cdot\dfrac{\text{cents}}{\text{min}}=\boxed{15\text{ cents/min}}

__

3) We want gallons in the numerator, so that conversion will be done by (1 gal)/(8 pt). We want weeks in the denominator, so the conversion for that is (7 day)/(1 week).

  \dfrac{2\text{ pt}}{1\text{ day}}\times\dfrac{1\text{ gal}}{8\text{ pt}}\times\dfrac{7\text{ day}}{1\text{ week}}=\dfrac{2\times1\times7}{1\times8\times1}\cdot\dfrac{\text{gal}}{\text{week}}=\boxed{\dfrac{7}{4}\text{ gal/week}}

7 0
2 years ago
16.437 rounded to the nearest hundredth is 16.43. true or false
DedPeter [7]
The answer is false because that number wouldnt even still be there because you have to take away a number!
6 0
3 years ago
Find the arc length intercepted by a central angle of radians in a circle whose radius is 18.4 inches. 13.8π 15.2π 24.5π
Margarita [4]

If the measure of the given central angle is \theta rad, then the length of the subtended arc is \ell satisfying

\dfrac{\ell}{2\pi(18.4\,\mathrm{in})}=\dfrac{\theta\,\mathrm{rad}}{2\pi\,\mathrm{rad}}\implies\ell=36.8\pi\theta\,\mathrm{in}

It's not clear from the question what the value of \theta is...

7 0
3 years ago
Read 2 more answers
Simply the given expressions below.
Setler [38]

Step-by-step explanation:

a) 4x + 8 - 2x + 7

= 2x +15

b) 2n × 5 × 2a

= 10n × 2a

= 20an

8 0
2 years ago
Read 2 more answers
Could some help me thanks
dezoksy [38]

You are given 2/3 angles to solve for x;

24+56 = 90

90 + x = 180

x = 90 degrees

3 0
3 years ago
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