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alexdok [17]
3 years ago
15

PQRS is a parallelogram of area 18 cm. if PQ = 5 cm & QR = 4 cm. calculate the lengths of corresponding heights ?​

Mathematics
1 answer:
kupik [55]3 years ago
3 0

Answer:

2cm

Step-by-step explanation:

area of parallelogram=b*h=18cm

5*4=20

length of corresponding heights=20-18

=2cm

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According to this diagram, what is cos 28°? 62° 17 8 28° 90° 15 O A. 17 15 O B. 8 17 O c. 15 17 O D. O E. 8 15 15 OF.​
VikaD [51]

Answer:

C. Cos(28) = \frac{15}{17}

Step-by-step explanation:

Recall: SOHCAHTOA

Thus,

Cos(\theta) = \frac{Adjacent}{Hypotenuse}

Reference angle = 28°

Adjacent = 15

Hypotenuse = 17

Plug in the values

Cos(28) = \frac{15}{17}

4 0
3 years ago
Solve the linear equations <br> 1/4(x-5)+4=1/3(2x+7)-5/6
quester [9]

Answer:

x = 3

Step-by-step explanation:

Given the linear equation :

1/4(x-5)+4=1/3(2x+7)-5/6

(x-5)/4 + 4 = (2x+7)/3 - 5/6

Take the lcm and sum

(x-5+16)/4 = (4x+14-5)/6

(x+11)/4 = (4x+9)/6

Cross multiply

6(x+11) = 4(4x+9)

6x + 66 = 16x + 36

Collect like terms

6x - 16x = 36 - 66

-10x = - 30

x = 30/10

x = 3

6 0
3 years ago
State if the triangles in each pair are similar. If so, State how you know they are similar and complete the similarity statemen
yuradex [85]

Answer:

Answer is option 2

Step-by-step explanation:

We know that Angle M = Angle G (given in diagram)

We also know that Angle L in triangle LMN is equal to Angle L in triangle LGH

As two angles are equal in both triangles they are similar.

But why is it Triangle LGH instead of Triangle HGL?

As we know M=G therefore they should be in the same place in the name Of the triangle. In triangle LMN M is in the middle therefore Angle G should also be in the middle

7 0
3 years ago
A fair sold a total of 3,300 tickets on friday and saturday. it sold 100 more on friday than on saturday.how many tickets did th
IgorLugansk [536]
On Saturday - x tickets
on Friday - (x + 100)
altogether
x+x+100=3300
2x=3200
x=1600
x+100=1600+100=1700
1700 on Friday

7 0
3 years ago
Charlie invest $425 in a savings account that pays interest at an annual rate of 4% compounded continuously approximately how mu
Olegator [25]

Answer:

  17.3 years

Step-by-step explanation:

For some annual interest rate r and time in years t, the initial account value is multiplied by e^(rt).

You want the multiplier e^(.04t) to have a value of 2:

  2 = e^(.04t)

  ln(2) = 0.04t . . . . . take natural logs

  t = ln(2)/0.04 = 17.329 . . . . . divide by the coefficient of t

It will take about 17.3 years for the investment to double.

8 0
3 years ago
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