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3 years ago

I need help with the top 3 plz

Mathematics

1 answer:

attashe74 [19]3 years ago

6 0

Answer/Step-by-step explanation:

Recall: SOHCAHTOA

1. Reference angle = 70°

Adjacent side = x

Hypotenuse = 6 cm

Apply CAH. Thus,

Cos 70 = adj/hyp

Cos 70 = x/6

6 × cos 70 = x

2.05 = x

x = 2.05 cm

2. Reference angle = 45°

Adjacent side = x

Hypotenuse = 1.3 m

Applying CAH, we would have the following ratio:

Cos 45 = adj/hyp

Cos 45 = x/1.3

1.3 × cos 45 = x

0.92 = x

x = 0.92 m

3. The who diagram is not shown well. Some parts are missing, however you can still solve the problem just the same way we solved problem 1 and 2.

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Cooper is opening an online savings account to hold his $20,000 emergency fund. The online account pays 1.5% interest compounded

NeX [460]

Answer:

After 25 years, Cooper will have $29,093.01 in his savings account.

Step-by-step explanation:

While Cooper opened an emergency savings account of $ 20,000, which yields an annual interest of 1.5% compounded monthly, to determine how much money he will have in his account after 25 years, the following calculation must be performed:

X = 20,000 (1 + 0.015 / 12) 25x12

X = 29,093.01

Therefore, after the passage of 25 years, Cooper will have $ 29,093.01 in his savings account.

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3 years ago

Please help me to solve this question

luda_lava [24]

The equation for area of a triangle is 0.5*base*height, so when you halve both the base and height, the area gets divided by 4.

The area of the first triangle is 0.5*80*40 = 1600 cm^2.

6 1/4 cm^2 is the same as 25/4 cm^2.

Now, we have to see how many times 1600 cm^2 can be divided by 4 to get 25/4 cm^2.

Area of second triangle: 1600/4 = 400
Area of third triangle: 400/4 = 100
Area of fourth triangle: 100/4 = 25
Area of fifth triangle = 25/4

So, the fifth triangle has an area of 6 1/4 cm^2.

The pattern would be the area of the nth triangle = $\frac{1600}{4^{n-1}}$

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3 years ago

7+6+9+12+9+15*69 plz help

alexandr402 [8]

Answer:

the answer is 1,078

Step-by-step explanation:

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4 years ago

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State the domain and range of the following relation.

olga nikolaevna [1]

Answer:

Step-by-step explanation:

domain (ur x values) = -3,-1,1,2

range (ur y values) = -3,1,2,4

do not have to write them more then once

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3 years ago

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Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements a

Anni [7]

Answer:

The answer is given below

Step-by-step explanation:

a) Let u and v be real numbers. The sum of u and v = u + v and the difference between u and v = u - v.

u + v < u - v means the sum of two real numbers is less than the difference between the two numbers.

There exist two real numbers such that their sum is less than the difference between them

This is true when atleast one of the numbers is negative, for example u = 2 and v = -2

u + v = 2 + (-2) = 0 , u - v = 2 - (-2) = 4

u + v < u - v.

b) Let x be a real number and x² be the square of the real number

x² < x means that the square of a real number is less than the real number

We can rewrite the statement as: There exist a real number such that its square is smaller than itself.

The statement is true for x is between 0 and ±1

E.g. for x = 1/2, x² = (1/2)² = 1/4

1/4 < 1/2

c) Let n represent all positive integers. n² is the square of n.

n²≥n means that the square of n is greater or equal to n.

We can rewrite the statement as: For all positive integer numbers, the square of the number is greater than or equal to the number itself

The statement is true.

1² ≥ 1, 2² ≥ 2 e.t.c

d) Let a and b be real numbers. The sum of a and b = a + b. |a| is the absolute value of a and |b| is the absolute value of b

|a+b|≤|a|+|b| means the absolute value of the sum of two real numbers is less than or equal to the sum of their individual absolute value.

We can rewrite the statement as: For two real numbers, the absolute value of their sum is less than or equal to their individual absolute value sum.

This statement is true for all real numbers.

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3 years ago