1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
allsm [11]
3 years ago
8

What is the closest length of RT?

Mathematics
2 answers:
almond37 [142]3 years ago
6 0

Answer: 14

Step-by-step explanation:

Since it is a right angles triangle , Pythagoras theorem will come into play,which states that;

the square of  the hypotenuses = square of the adjacent + square of the opposite , that is

22^{2} = (RT)^{2} + 17^{2}

Therefore:

(RT)^{2} = 22^{2} - 17^{2}

(RT)^{2} = 484 - 289

(RT)^{2} = 195

RT = \sqrt{195}

RT = 13.96

RT≈ 14

Vilka [71]3 years ago
3 0

Answer:

c)14

Step-by-step explanation:

Pythagorean theorem:

TR² + RG² = TG²

TR² + 17² = 22²

TR² = 22² - 17² =(22+17)(22-17)            

  = 39*5 = 195 ≈ 196

TR =√196 = 14

You might be interested in
Simplify the expression x + 5+ 3.
JulsSmile [24]

Answer:

x  + 8

Step-by-step explanation:

x + 5 + 3.

add the numbers

↓

x + 8  

8 0
3 years ago
Read 2 more answers
What is the solution to the inequality?<br> −6x+5&gt;−1
Bogdan [553]

Answer:

\boxed{x

Step-by-step explanation:

-6x+5>-1\qquad\text{subtract 5 from both sides}\\\\-6x>-6\qquad\text{change the signs}\\\\6x

3 0
3 years ago
HELP: I need help on multiple questions for a quiz before tomorrow night. If all is answered, you will get 40+ points and marked
Vinil7 [7]

Answer:

1.  $33,000

2.  $6077.53

3.

a)  2.72 seconds

b)  0.96 seconds

4.  189 square meters

5.

a)  Average Rate of Change = 4 pounds per week, or -4

b)  160 pounds (after 5 weeks)

6.  

Independent Variables = p, A, and H

Dependent Variable = T

141 beats per minute (rounded to nearest whole number)

Step-by-step explanation:

1.

The value of a tractor V(t) decreases over time, t. Its value is given by:

V(t)=55000-5500t

To find value of tractor after 4 years, we would need to substitute "4" into t and calculate. It is shown below:

V(t)=55000-5500t\\V(4)=55000-5500(4)\\V(4) =33000

The value of the tractor after 4 years is <u>$33,000</u>

<u></u>

2.

The value of investment that is growing each year, is given by:

f(n)=5000(1.05)^{n}

Where

5000 is the initial investment (deposit)

1.05 means a 5% growth rate per year

n is the time in years

We want the investment's value after 4 years, so n would be 4. Substituting we get our answer:

f(n)=5000(1.05)^{n}\\f(4)=5000(1.05)^{4}\\f(4)=6077.53

To the nearest cent, the value of the investment would be:

<u>$6077.53</u>

<u></u>

3,

The time it takes of pendulum to make one swing is given by the formula:

T(L)=2\pi \sqrt{\frac{L}{32}}

Where L is the length of the pendulum in feet

a)

If L = 6ft, the time it will take is:

T(6)=2\pi \sqrt{\frac{6}{32}}\\T(6)=2.72

About <u>2.72 seconds</u>

<u></u>

b)

Now, the length is 9 inches, we convert it to feet first:

9/12 = 0.75 feet

So, the time it will take:

T(0.75)=2\pi \sqrt{\frac{0.75}{32}}\\T(0.75)=0.96

So, it will take about <u>0.96 seconds</u>

<u></u>

4.

The area of weed after t days can be modeled by:

A(t)=0.006 \pi t^2

Where t is number of days

Now, we want to find area after 100 days, so let t = 100, we get:

A(t)=0.006 \pi t^2\\A(100)=0.006 \pi (100)^2\\A(100)=188.5

Rounded to nearest sq. m, we have the area to be:

<u>189 square meters</u>

<u></u>

5.

a)

The avg. rate of change is basically how much the program is advertising that someone can loose in a week. It says "4 pounds per week". Since decrease, we give the value of "4" and negative sign So:

<u>Average Rate of Change = 4 pounds per week, or -4</u>

<u></u>

b)

Initial weight is 180 pounds, we know 4 pounds is decreased every week when going through the program course. So, after 5 weeks,

5 * 4 = 20 pounds will be less

So, he will be:

180 - 20 = <u>160 pounds (after 5 weeks)</u>

6.

The Karvonen formula is given as:

T=p(220-A)+H(1-p)

Where

T is target heart rate (in bpm)

p is the percent intensity (expressed as decimal)

A is the age (in yrs)

H is the resting heart rate (in bpm)

We need to identity the independent and dependent variables. Now, lets that a simple example:

y = 2x

Here,

x is the independent variable

y is dependent on x, so y in dependent

Similarly, if you look at the formula, you can see:

p, A, and H are all independent

T depends on them

So,

p, A, H are independent variables

T is the dependent variable

<u>Independent Variables = p, A, and H</u>

<u>Dependent Variable = T</u>

<u></u>

We are given

A = 35

H = 60

p = 65% = 65/100 = 0.65

Now, we want T, lets substitute and find:

T=0.65(220-35)+60(1-0.65)\\T=141.25

<u>The target heart rate should be:  141 beats per minute (rounded to nearest whole number)</u>

<em><u /></em>

<em><u /></em>

3 0
3 years ago
Question 5 of 5 Triangle ABC is an equilateral triangle. How many lines of symmetry does triangle ABC have?
lutik1710 [3]
I believe just 1 because an equilateral triangle can only be reflected on one line for the halves to be the same
4 0
3 years ago
Adding and subtracting fractions
kakasveta [241]

Answer:

Step-by-step explanation:

add the top of one and the bottom of the other then the top of the other and the bottom of one

3 0
3 years ago
Other questions:
  • Drove 50 km on 6 L of gasoline. Which proportion would help determine how far she can travel on a full 40 L tank of gasoline?
    13·2 answers
  • How much greater is 77353 then 70700
    10·2 answers
  • Make x the subject of the formula:<br> Y=1/3x+1
    8·1 answer
  • Given: AD diameter of Circle P.
    6·2 answers
  • solomon yearly income is $49827 what is his yearly income when it is rounded off to the nearest hundred dollars ?
    14·2 answers
  • The total travel time for the ranger to get to the car is the sum of the travel time in the forest and the travel time on the ro
    8·1 answer
  • The estimate for 2,616
    6·1 answer
  • Find this value for brainiest <br> 1+9^14
    7·1 answer
  • . What is the negative solution to this equation?<br> 8x2 – 4x = 363
    15·1 answer
  • NEED HELP ASAP 40 points!! &lt;3 (will mark brainiest) as well :))
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!