1. If the ratio of the ages of Kissi and Esinam is 3:5 and that of Esinam and Lariba is 3:5 and

the sum of the ages of all 3 is 147 years, what is the age difference between oldest the

youngest?
​

The height of the skyscraper is D. 156.26 ft

To determine the height of the skyscraper,  we need to consider the following trigonometric identities listed thus;

From the information given, we have that;

Angle, θ = 38 degrees

The shadow casted is the adjacent side of the angle and is 200 ft

The height off the skyscraper is the opposite side

Now, using the tangent identity, we have that;

tan θ = opposite/adjacent

tan 38 = h/200

cross multiply the values, we get;

h = 200(0.7812)

Multiply the values

h = 156. 26 ft

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The compound amount after 3 years is $2275.22.

In this case, you are given:

Principle = $2,000

rate = 0.0353

time = 3

You need to find A, the compound amount after 3 years.

To do this, you need to plug in the values of P, r and t into the formula and use a calculator:

A=P×e^rt

A=2000×(e)^0.0353×3

A≈2275.22

Therefore, by the compound interest the answer will be $2275.22.

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If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

Answer:you need to show the diagram in order for me to

Step-by-step explanation:

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

The expression can be completed as 4 × (4 + 3)

A mathematical expression is a combination of numbers, symbols, and operations that represent a mathematical relationship or calculation.

Mathematical expressions can be used to represent a wide range of concepts, including algebraic equations, geometric formulas, and statistical models.

Looking at the pages:

On page 2, we have 4 stickers per row while on page 3 we have 3 stickers per row. Also, both page 2 and page 3 have 4 rows each. Thus, we can complete the expression as follows:

4 × (4 + 3)

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The temperature at 8:00 A.M. was 15°C.

Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.

We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C

3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.

Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C

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Irene bought 13/16 flour because you add 9/16 to 4/16 the denominator always stays the same when adding. 9+4=13 so the answer is 13/16

Answer:

720??

Step-by-step explanation:

Take the cross product of the given vectors to get one that is perpendicular to both of them.

\(\langle 3, 5, -2 \rangle \times \langle 2, 1, 0 \rangle = \langle 2, -4, -7 \rangle\)

The line parallel to this vector and passing through the origin is given by the vector function

\(\vec r(t) = \langle 2, -4, -7 \rangle t\)

where \(t\in\Bbb R\), and hence parametric equations

\(\begin{cases}x(t) = 2t \\ y(t) = -4t \\ z(t) = -7t \end{cases}\)

Translate this line by the vector \(\langle1,0,1\rangle\) to make it pass through the given point. So the line we want has vector function

\(\vec r(t) = \langle 2, -4, -7 \rangle t + \langle 1, 0, 1 \rangle\)

and parametric equations

\(\boxed{\begin{cases} x(t) = 2t + 1 \\ y(t) = -4t \\ z(t) = -7t + 1 \end{cases}}\)

Step-by-step explanation:

the conjugate is where we change the sign in the middle of the two terms

so we change the - to a +

x + 14 is our answer

The notation "t(x)" represents the statement t is a function of x

The notation is given as:

t(x) = ....

The above notation is a function notation, and it used to relate one element  to another

For instance:

f(x) means f is a function of x

Similarly, "t(x)" represents the statement t is a function of x

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The CD subtended an angle at the center o

Also, note that the angle subtended at the center is twice the angle subtended at the circumference

GIVEN

Two lines AB and CD are given where AB is 2.5 units long and CD is 3.25 units long.

SOLUTION

The point G is collinear to the line CD and is between C and D. This can be seen in the image below:

The length of line DG is twice the length of line CG. This means that if CG is x units long, then:

Add the lengths of DG and CG and we will get the length of CD. Therefore:

Therefore, the length of CG will be:

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

Answer:

465 Dollars

Step-by-step explanation:

15h+40f = Amount Charged

if: h = 7

   f = 9

15(7)+40(9) = Amount Charged

105 + 360 = Amount Charged

465 = Amount Charged

He will charge 465 dollars.

15h + 40f

= 15(7) + 40(9)

= 105 + 360

= $465

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The equations are y = 30x + 13 and y = 28x + 15. And the charge less for cleaning 4 mattresses is $127 given by company B. Then the amount of money saved to clean 7 mattresses is $22.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of mattresses and 'y' be the total cost. Then the equations are given as,

Company A: y = 30x + 13

Company B: y = 28x + 15

The amount for x = 4 is given as,

Company A: y = 30 (4) + 13 = $133

Company B: y = 28 (4) + 15 = $127

The amount for x = 4 is given as,

Company A: y = 30 (7) + 13 = $223

Company B: y = 28 (7) + 15 = $211

Then the amount of money saved is given as,

⇒ $233 - $211

⇒ $22

The amount of money saved to clean 7 mattresses is $22.

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Answer:

Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?

Step-by-step explanation:

took test 100%

Answer:

----------------------------

Find the composition of the functions f(x) and g(x), which is written as f(g(x)).

Given functions:

Find f(g(x)):

Evaluate f(g(2)):

So, (f·g)(2) = 14.

Answer:

b. f(3.5) = 52

Hope this helps!

Answer:

[ -3 +(-5)][-3-(-5)]

( -8)(2)

= 16

Step-by-step explanation:

where there's x put-3 and where there's y put-5

I don't see =0 so I don't believe you will have to equate further

Answer:

-16

Step-by-step explanation:

Hello There!

For this one we also need to plug in the values and solve

(-3+(-5)(-3-(-5)

first lets distribute the -3 to -3 and -(-5)

-3x-3=9

-3x5=-15

9-15=-6

now lets distribute the -5 to the -3 and -(-5)

-5x-3=15

-5x5=-25

-25+15=-10

-10-6=-16

so the answer would be -16

Angle of Elevation.

Step 1: We shall identify the angle of elevation of the Hill in the diagram.

Step 2: We shall use the appropriate Trigonometrical Ratio to find the angle of elevation.

Therefore, the correct answer is 22 degrees.

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

Answer:

1/3

Step-by-step explanation:

You add up the amount in each bag then you take the amount of green then that will be the answer but since there is 2 bags it is 1/3

Answer:

75

Step-by-step explanation:

f(4) means to use 4 in place of x.

f(x) = 3(5)^(x-2)

fill in 4 for

f(4) = 3(5)^(4-2)

do the 4-2 subtraction first

f(4) = 3(5)^2

do the 5 to the 2nd power next.

f(4) = 3(25)

last, multiply.

f(4) = 75

This is just following the typical order of operations.

Answer:

a is the answer my aunt told me she is a teacher

Answer:

DCE is 54°

Step-by-step explanation:

To solve this, we must come up with an equation. Since D, C, and E are each straight lines, they are each 180°. then, each line is separating the other which splits the 180 degree line into two parts. For example, E separates D, C separates E, and so on. The exterior angles are given, but the interior aren't. So:

for angle EDC: 180 - (9x - 31)

for angle CED: 180 - (4x + 33)

for angle DCE: 180 - (7x - 2)

we know that all angles in a triangle add up to 180°. So, our equation is:

180 - (9x - 31) + 180 - (4x + 33) + 180 - (7x - 2)=180.

simplify:

180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2=180

540 - 20x = 180

540 - 180 = 20x

360=20x

x= 18

for angle EDC: 180 - (9•18 - 31)=49°

for angle CED: 180 - (4•18 + 33)=75°

for angle DCE: 180 - (7•18 - 2)=54°

Hi how u doin ?

\( log( \frac{x}{x + 1} ) = \\ \)

\( log(x) - log(x + 1) \)

Have a great day ❤

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19