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jarptica [38.1K]
3 years ago
15

Find the value of x.

Mathematics
1 answer:
ratelena [41]3 years ago
4 0

Answer:

value of x is 59.5

Step-by-step explanation:

Solution.

Given, Right angled triangle

where reference angle given 48

hypotenuse(h)=80

perpendicular(p)=x

Now ,

I) sin48=p/h

or,sin48×h=p

or0.978×80=x

.°. 59.5=x

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netineya [11]

Answer:

4/1>5/2 because

when solved 4>2.5

7 0
3 years ago
Based on the drawing, Which can be used to prove PQR ≅ STV?
natta225 [31]

Answer:

Option (2) is correct.

Based on the drawing, SAS can be used to prove PQR ≅ STV

Step-by-step explanation:

We have to find the criterion by which the two given triangle can be prove similar from the given options.

Consider, the given triangles from the drawing given

ΔPQR and ΔSTV,

PR = VS  (Given)

∠QRP = ∠TVS ( Given)

and, QR = TV (given)

Thus,  PQR ≅ STV  ( SAS CRITERION)

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Thus, option (2) is correct.


5 0
4 years ago
What is the GCF of x2 and x9?
S_A_V [24]

Answer:

1

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A transformation that changes the size of a figure to create a similar, either smaller or larger
irakobra [83]

Answer:

A dialation

Step-by-step explanation:

A dilation keeps the same figure but either makes it smaller or bigger depending on the scale factor. If the scale factor is bigger than 1, it will be bigger and if it's less than 1 it will be smaller.

5 0
3 years ago
A town has a population of 8000 in Groves at 4.5% every year to the nearest year how long will it be until the population will r
VashaNatasha [74]

Answer:

It takes 10 years approximately for the population to reach 22,500

Step-by-step explanation:

Given:

Initial population  =  8000

Population growth rate  4.5 %

Future population = 22500

To Find:

Time taken to reach a population of  22500

Solution:

The population growth can be identified by using

N = N_0e^{(rt)}

where

N is  future popluation

N_0 is the initial population

t is the time taken

r is the rate of the growth

Here we have to find the time t, rephrasing the formula

log(\frac{N}{N_0}) = rt

\frac{log(\frac{N}{N_0})}{r} = t

Substituting the values we get,

t = \frac{log(\frac{22,500}{ 8000})}{ 0.045}

t = \frac{log(2.8125)}{ 0.045}

t = \frac{ 0.449}{ 0.045}

t = 9.97

t=10(approx)

8 0
4 years ago
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