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alekssr [168]
3 years ago
5

Find the unknown angle in the following figuresPlease explain in step by step.​

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

Answer:

130°

Step-by-step explanation:

the opposite angle just like in the diagram will always be the same value

then you must know that total angle in triangle must be 180° so the balance angle each 50° bcuz when the length is the same, the angle should be the same too.

to find X , 180-50=130

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The width of a rectangle is 3 less than twice its length. if the area of the rectangle is 193 cm 2 cm2, what is the length of th
sineoko [7]
W=2L-3
W*L=193
replace W with 2L-3: (2L-3)L=193
2L^2-3L-193=0
Cannot factor
are you sure the numbers are correct?
If it cannot be factored, use the quadratic formula to find out L, then you can find out W
use the Pythagorean theorem to find the diagonal. I don't see an easier way. 
4 0
3 years ago
Factor 75t2 + 12.<br> 3(5t + 2)2<br> 3(25+2 +4)<br> 3(251-4)
frosja888 [35]

Answer:

75t^2+12=3(25t^2+4)

Option C)

Step-by-step explanation:

Here we are given with the expression 75t^2+12

The GCF of 75t^2 and 12 is 3

Hence we take 3 as GCF and bring it in front of the bracket.

3(25t^2+4)

It can not be factorise furthure  as there is no GCF of 25 and  also there is no rule for sum of squares so that we may apply it on this. Hence the answer would be

3(25t^2+4)

Option C)

4 0
3 years ago
Shannon’s rectangular countertop is 3 feet wide. It is 3 times as long as it is wide. Find the length and area of Shannon’s coun
kompoz [17]

Answer:

9 feet long

Step-by-step explanation:

6 0
2 years ago
Whats 926 divided by 30
balandron [24]

30.87 ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

\frac{926}{30}  \\  = 30 \frac{26}{30}  \\ ( \: or \: ) \\  = 30.8666 \\  = 30.87

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}

4 0
2 years ago
Invasive species often experience exponential population growth when introduced into a new environment. Zebra mussels are an inv
Oliga [24]

Answer:

If ‘a’ is the initial population of the Zebra mussels, then every six months, the population of Zebra mussels quadruples, i.e. it becomes 4a. In t years, i.e. in 2t intervals of 6 months each, the population of Zebra mussels can be computed with the help of a geometric series a, ar, ar2, ar3, …. arn-1 ( the series being finite with n terms) where a is the 1st term , r is the common ratio and n is the number of terms in the series..

Here, in 2t years, there will be 2t + 1 terms in the geometric series including the initial term. Thus in the above series, a = 10, r = 4 and n = 2t + 1. Then the population of the Zebra mussels after 2t years is the (2t +1)st term of the geometric series I.e. 10* ( 42t)                  

In 15 months, t = 15/12 = 1.25. Then the population of Zebra mussels after 15 months will be 10*(42.5 ) = 10 * 25 = 320

If after t years, the population of the Zebra mussels become 1 million , then we have

1000000 = 10 * (42t) or, 100000= 42t or,105 = 42t    Taking logarithms of both sides, we have 5 log 10 = 2t log 4 or, t = (5log10)/(2log4) = 5/1.20 years or (5/1.20) * 12 months = 50 months, i.e. 4 years and 2 months.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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