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Alisiya [41]
3 years ago
9

Can anyone help me with this, I gave a picture so you can figure it out

Mathematics
1 answer:
Ivenika [448]3 years ago
6 0

Answer:

X=2

Step-by-step explanation:

If the smaller triangle's base is 1.5ft and the bigger triangle's base is 6ft then in order to find x you have to find how much bigger the big triangle is compared to the small triangle in order to do that you have to divide 6 by 1.5 (6÷1.5)  which is 4 now you know that the bigger triangle is 4 times as big as the smaller triangle now to find X divide the 8 by 4 (since the 8 is on the same side as the X only the 8 is on the bigger triangle) which is 2

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Erica is participating in a road race. The first part of the race is on a 5.2-mile-long straight road-oriented at an angle of 25
kap26 [50]

Answer:

6.31 mi

Step-by-step explanation:

The diagram below explains the solution better.

From the diagram,

C = starting point of the race.

A = end of the first part of the race.

B = end of the race.

Using Cosine rule, we can find the straight-line distance between the starting point and the end of the race.

Cosine rule states that:

a^2 = b^2 + c^2 - 2bc[cos(A)]

where A = angle A = <A

Given that

b = 5.2 miles

c = 2.0 miles

<A = 115° (from the diagram)

Hence,

a^2 = 5.2^2 + 2.0^2 - 2*5.2*2.0[cos(115)]\\\\a^2 = 27.04 + 4 - 20.8[cos(115)]\\\\a^2 = 31.04 + 8.79\\\\a^2 = 39.83\\\\a = \sqrt{39.83}\\ \\a = 6.31 mi

The straight-line distance between the starting point and the end of the race is 6.31 mi

4 0
3 years ago
Helppppp plzzzzz 10points
wel

I think it should be B because the depth of the water should be decreasing slowing at the same rate.


4 0
3 years ago
Read 2 more answers
Give the first ten terms of the following sequences. You can assume that the sequences start with an index of 1. Logs are to bas
Vitek1552 [10]

Answer:

a)

a1 = log(1) = 0 (2⁰ = 1)

a2 = log(2) = 1 (2¹ = 2)

a3 = log(3) = ln(3)/ln(2) = 1.098/0.693 = 1.5849

a4 = log(4) = 2 (2² = 4)

a5 = log(5) = ln(5)/ln(2) = 1.610/0.693 = 2.322

a6 = log(6) = log(3*2) = log(3)+log(2) = 1.5849+1 = 2.5849 (here I use the property log(a*b) = log(a)+log(b)

a7 = log(7) = ln(7)/ln(2) = 1.9459/0.6932 = 2.807

a8 = log(8) = 3 (2³ = 8)

a9 = log(9) = log(3²) = 2*log(3) = 2*1.5849 = 3.1699 (I use the property log(a^k) = k*log(a) )

a10 = log(10) = log(2*5) = log(2)+log(5) = 1+ 2.322= 3.322

b) I can take the results of log n we previously computed above to calculate 2^log(n), however the idea of this exercise is to learn about the definition of log_2:

log(x) is the number L such that 2^L = x. Therefore 2^log(n) = n if we take the log in base 2. This means that

a1 = 1

a2 = 2

a3 = 3

a4 = 4

a5 = 5

a6 = 6

a7 = 7

a8 = 8

a9 = 9

a10 = 10

I hope this works for you!!

3 0
2 years ago
Ms. Novas bought 3 pounds of jelly beans. She kept 8 ounces for her family and gave the rest to her friends. She gave each frien
Yuki888 [10]

Answer:

A = 40/n

Therefore, she gave each friend 40/n ounces of jelly beans.

Step-by-step explanation:

Given;

Total amount of jelly beans To = 3 pounds = 3×16 ounces = 48 ounces

Total amount kept for family Ta = 8 ounces

Total amount given to friends = Ti

Number of friends = n

Amount given to each friend = A

Ti = To - Ta

A = Ti/n = (To-Ta)/n

A = (48 - 8)/n

A = 40/n

Therefore she gave each friend 40/n ounces of jelly beans.

4 0
3 years ago
Read 2 more answers
Which ordered pair is the solution to y = 2x + 10?
Eduardwww [97]
The best way to solve a problem like this is guess and check.

y = 2x + 10

2 = 2(2) +10

2 = 4+10
2 = 14 NO

y = 2x + 10

4 = -3(2) +10
4 = -6 +10
4 = 4 YES . . . C is your answer
7 0
3 years ago
Read 2 more answers
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