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Alika [10]
3 years ago
6

If RT = 6 and RS = 9, then RX = A - sqrt(54) B - 13.5 C - 7.2 D - 4

Mathematics
1 answer:
wolverine [178]3 years ago
5 0

Answer:

Option D RX=4 units

Step-by-step explanation:

we know that

<em>In the right triangle RTS</em>

The cosine of angle TRS is equal to

cos(TRS)=RT/RS

substitute

cos(TRS)=6/9 -----> equation A

<em>In the right triangle RTX</em>

The cosine of angle TRX is equal to

cos(TRX)=RX/RT

substitute

cos(TRX)=RX/6 -----> equation B

∠TRS=∠TRX -----> is the same angle

Match equation A and equation B

6/9=RX/6

RX=6*6/9=4 units

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A storekeeper increased the price of hats by 5%. Write an equation to calculate the increase of the total cost, c, when the pric
Naddik [55]

Answer:

c = 1.05p

Step-by-step explanation:

the price of the hat before the increase was 100%, after the increase it becomes 100 + 5% = 105%. Representing it as a decimal becomes 1.05p

Let illustrate with an example.

The price of a hat was $100, after the 5% increase. the cost of the hat becomes

100 + (0.05 x 100) = 105

To find the percentage increase

divide 105 by 100 and subtract 1

(105/100) - 1 = 1.05

3 0
3 years ago
Please help me with the whole page. I need the answers and calculations please!
Harman [31]
4: (3/4 - 1/2) X 3/5. 

You need them all to have the same denominator (bottom number) 
The lowest common denominator (LCM) of 2,4 and 5 is 20
4 X 5 = 20
2 X 10 = 20
5 X 4 = 20 

Then multiply the top number by the amount you need to multiply the bottom number by to get 20

3 X 5 = 15
1 X 10 = 10
3 X 4 = 12

(3/4 - 1/2) X 3/5. Turns to (15/20 - 10/20) X 12/20.

15 - 10  = 5
5 X 12 = 60

Answer: 60/20
Simplified: Either 3 or 3/1.



If you use the steps above then you should be able to do the rest :D
If you need anymore help, please ask
3 0
3 years ago
Lines l and m are parallel and intersected by transversals t and s as shown in the figure below.
kogti [31]
Angle W and Y are right angles and equal to 90 degrees each. Angle z and angle x  are same side interior angles and they have a sum of 180 degrees because of the same side interior angles postulate.

so W= 90  Y=90   X+Z= 180 .  so 90+180+90 =360 degrees. B.

8 0
3 years ago
Suppose the population of a certain city is 5893 thousand. It is expected to decrease to 5218 thousand in 50 years. Find the per
leonid [27]

Answer:

% Decrease = 11.45%

Step-by-step explanation:

Original Population = 5893

Expected Population = 5218

% Decrease = Original Population - Expected Population / Original population

% Decrease = (5893 - 5218 ) / 5893

% Decrease = 675/5893

% Decrease = 0.11454268

% Decrease = 11.454268%

% Decrease = 11.45% approximately.

6 0
3 years ago
the ratio of red marbles to blue marbles in a bag is 3:4. if there are 42 marbles in the bag, how many of the marbles are red?
AlexFokin [52]

Answer:

18

Step-by-step explanation:

Sum the parts of the ratio, 3 + 4 = 7

Divide the amount of marbles by 7 to find the value of one part of the ratio

42 ÷ 7 = 6 ← value of 1 part of the ratio, thus

red marbles = 3 × 6 = 18

8 0
3 years ago
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