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
scZoUnD [109]
3 years ago
12

. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR = 17m, diagonal QS

= 30m, and segment PT = 25m. Find the area of kite QRST.
8m2
33m2
495m2
990m2

Mathematics
1 answer:
trapecia [35]3 years ago
6 0

Answer:

495 meter²

Step-by-step explanation:

In the given kite QRST,

PQ = PS = 15 meter

QR = 17 meter

We have to find the area of the kite.

Since kite is in the form of a rhombus.

and rhombus is = \frac{1}{2}  (Diagonal QS) × (Diagonal RT)

In Δ QRP,

17² = 15² + RP²

\sqrt{17^{2}-15^{2}} = RP

RP=\sqrt{289-225}

= √64 = 8 meters.

So RT = RP + PT = 8 + 25 = 33 meter.

Now area of kite = \frac{1}{2} (30) (33) = 495 meter²

You might be interested in
If the probability of an event is 0.7 repeating​, what are the odds against the​ event
ivann1987 [24]
So the probability is the number of favorable outcomes divided by the number of total outcomes. This means that the favorable outcomes are 7/9, and the unfavorable outcomes are 2/9. The odds against the event are the unfavorable outcomes. Therefore the odds against the event is 2/9, or 0.2 repeating. Hope this helps. Feel free to ask more questions, and feel free to ask questions about my explanation.
7 0
3 years ago
If three quarters of a number decreased by twenty is equal to eighty two, what is that number?
Studentka2010 [4]

A number is :

x

_________________________________

Three quarters of it means :

\frac{3}{4}x \\

_________________________________

Decrease by 20 means :

\frac{3}{4}x - 20 \\

_________________________________

Equals to 82 means :

\frac{3}{4}x - 20 = 82 \\

_________________________________

What is that number ?

x asked so we must solve the above equation for x.

Let's do it....

\frac{3}{4}x - 20 = 82 \\

Plus sides 20

\frac{3}{4}x = 82 + 20 \\

\frac{3}{4}x = 102 \\

Multiply sides by 4

3x = 102 \times 4

Divided sides by 3

x =  \frac{102 \times 4}{3} \\

x =  \frac{102}{3} \times 4 \\

Simplify

x = 34 \times 4

x = 136

So that number is 136 .

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

5 0
3 years ago
you deposit 300 in an account that pays 5 1/2% annual interest compounded cnyinuously find the balance at the end of 5 years
algol [13]
First find the multiplier: 5.5% + 1 = 1.0505.

Then we do amount x (multiplier) to the power of how many years.

300 x (1.0505)^5

The answer is <span>383.79696707. 

We round this to 2dp, making it £393.80

REMEMBER UNITS!!!

Hope this helps xox :)</span>
7 0
3 years ago
What is 4 2/7 as an improper fraction?<br> HURRYYYYYYY
Alika [10]

Answer: C. 30/7

Step-by-step explanation: To make an improper fraction out of a mixed one we have to multiply the denominator by the whole number (in this case is 4) and then add the numerator. So 7 x 4 = 28 + 2 = 30, so 30/7 would be the correct answer choice.

Hope this helps!

7 0
3 years ago
Find the measure of the indicated angle to the nearest degree​
omeli [17]

\boxed{\sf sin\Theta=\dfrac{P}{H}}

\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}

\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}

\\ \sf\longmapsto sin\Theta=0.5

  • Convert to p/q form

\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}

\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}

\\ \sf\longmapsto sin\Theta=sin30

\\ \sf\longmapsto \Theta\approx30°

4 0
3 years ago
Other questions:
  • Solve this problem in your notebook using all four steps. Harvey is 3 times as old as Jane. The sum of their ages is 48 years. F
    8·2 answers
  • Rewrite the equation 2x + 3y = 6 in slope-intercept form. y = -2 x + 6 y = - x + 2 y = 2 x + 6 3 y = -2 x + 6
    15·1 answer
  • 4 2/3 - 2 1/3 plsss get me the answer​
    11·2 answers
  • Find the slope of the line drawn below
    9·1 answer
  • Your teacher ask you to find a recipe that includes two ingredients with a re-share the 1/2 cup and 1/8 cup
    8·1 answer
  • What is the volume of the rectangular prism?​ will give brainliest
    14·2 answers
  • PLEASE HELP!!! Help would be really appreciated here!!! <br> Find M angle V
    7·1 answer
  • Y = x - 3 and y = 7x + 3 on a graph
    9·1 answer
  • A grain of salt is an example of which geometric figure?
    15·1 answer
  • Each alice is 1/10 of an orange if he brings 12 whole oranges how many sloces are there ?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!