After 10 years, Hamid's account earned $900 in interest. If the interest rate (in decimal form) is 0.08, how much did Hamid initially invest? Without substitution, solve the formula chosen in the previous step for the unknown variable in terms of the known variable(s).

Answer:

197.3 feet

Step-by-step explanation:

197.295 rounded to the nearest hundredth is 197.30 or 197.3

The height of the tree if the point on the ground from the tree is 92 feet will be 197.29 feet.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

The angle of elevation to a nearby tree from a point on the ground is measured to be 65°.

The height of the tree if the point on the ground from the tree is 92 feet. Then we have

Let h be the height of the tree. Then we have

[tex]\tan 65^o = \dfrac{h}{92}\\\\ 2.1445\ = \dfrac{h}{92}[/tex]

Then we have

[tex]\rm h = 2.1445 \times 92\\\\h = 197.29\ ft[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

£32.50

Step-by-step explanation:

my first question to the teacher : so, no windows in the living room ?

so, it is a square living room with 5.5 m side length.

but each wall is a rectangle of 2.2 × 5.5 m.

for one wall we have to deduct a door area of 1.8×0.9 m.

so, one wall

2.2 × 5.5 = 12.1 m²

4 walls

4 × 12.1 = 48.4 m²

minus one door area

1.8 × 0.9 = 1.62 m²

48.4 - 1.62 = 46.78 m² total paint area

1 L paint covers 8 m².

so, we need 46.78/8 = 5.85 liters.

she gets the paint in 2 L tins. so, she needs 3 tins (6 L).

each tin costs £13.

and because she buys 3 tins, she gets the third one for half the price (13/2 = £6.50).

so, she has to pay

2×13 + 6.50 = 26 + 6.50 = £32.50

Answer:

200,000 times

Step-by-step explanation:

The population of China is about 1.4 × 10⁹ . And the hometown of Julie has a population of 7,000 people . We need to find out how many times greater is the population of China than Julie's hometown .

By Question :-

[tex]\rm\implies Population_{China}= 1.4\times 10^9 [/tex]

[tex]\rm\implies Population_{Hometown}= 7,000 [/tex]

Times by which population of China is more:-

[tex]\rm\implies \dfrac{ 1.4 \times 10^9 }{7000} \\\\\rm\implies \dfrac{ 14 \times 10^8}{7\times 10^3}\\\\\rm\implies 2\times 10^{8-3} \\\\\rm\implies 2\times 10^5 \\\\\rm\implies \boxed{\quad \bf 200,000 \quad }[/tex]

Therefore the population of China is greater than 200,000 times .

Answer:

329.29... mm²

Step-by-step explanation:

it is the area of the circle minus the area of the white triangle.

what we see as dotted line is on one hand the radius of the circle but also the height of the triangle.

we know the area of a circle is

pi×r²

and the area of a triangle is

baseline×height/2

the baseline of the triangle is clearly the diameter (=2×r) of the circle.

so, we have everything and need only to do the calculations.

the area of the shaded figure is

As = pi×(12.4)² - (2×12.4)×12.4/2 = pi×(12.4)² - 12.4×12.4 =

= pi×(12.4)² - (12.4)² = (pi-1)×(12.4)² = 329.29... mm²

Answer:

Step-by-step explanation:

1 side = 2.5y - 3

8 sides = 8(2.5y - 3)

8 sides = 20y - 24

Perimeter = 20y - 24

Answer:

Step-by-step explanation:

There are 2 very distinct and important things that we need to know before completing the problem. First is that we are given that the cos of an angle is 1/3 (adjacent/hypotenuse) and it is in the first quadrant. We also need to know that the identity for sin2θ = 2sinθcosθ.

We already know cos θ = 1/3, so we need now find the sin θ. The sin ratio is the side opposite the angle over the hypotenuse, and the side we are missing is the side opposite the angle (we do not need to know the angle; it's irrelevant). Set up a right triangle in the first quadrant and label the base with a 1 (because the base is the side adjacent to the angle), and the hypotenuse with a 3. Find the third side using Pythagorean's Theorem:

[tex]3^2=1^2+y^2[/tex] which simplifies to

[tex]9=1+y^2[/tex] and

[tex]y^2=8[/tex] so

[tex]y=\sqrt{8}=2\sqrt{2}[/tex] so that's the missing side. Now we can easily determine that

[tex]sin\theta=\frac{2\sqrt{2} }{3}[/tex]

Now we have everything we need to fill in the identity for sin2θ:

[tex]2sin\theta cos\theta=2(\frac{2\sqrt{2} }{3})(\frac{1}{3})[/tex] and multiply all of that together to get

[tex]2sin\theta cos\theta=\frac{4\sqrt{2} }{9}[/tex]

Answer:

f(n+1) = f(n) - 5

Step-by-step explanation:

Just find some relationship between 2 numbers that are next to each other.

Answer:

66/29

Step-by-step explanation:

-9x - 21 = 20x - 87

Add 87 to both sides to cancel out the -87 on the right side:

-9x + 66 = 20x

Add 9x to both sides to cancel out the -9x on the left side:

66 = 29x

Divide both sides by 29 to isolate the variable:

66/29 or 2.275862....

Answer:

95 degrees

Step-by-step explanation:

First find the angles within the triangle. 180 - 43 - 52 = 85, so the missing angle within the triangle is 85. The exterior angle would be supplementary to that, so 180 - 85 = 95.

Answer:

x=6

y=5

Step-by-step explanation:

15x and 90 are vertical angles and vertical angles are equal

15x = 90

Divide by 15

15x/15 = 90/15

x = 6

15x and 5x+12y are corresponding angles and corresponding angles are equal when the lines are parallel

15x= 5x+12y

Subtract 5x

15x-5x = 5x+12y-5x

10x = 12y

10(6) = 12y

60 = 12y

Divide by 12

60/12 = 12y/12

5 = y

Answer:

Step-by-step explanation:

8% = 8/100

So 8% of 600

= (8/100)* 600

= 8 * 6

= $48.

Step-by-step explanation:

8/100×$600

8×6. (Cancelled 600 by 100%)

$48

hope it helps

Answer:

were are the pairs?

Answer:

he needs enough butter for a fish pie for 15 people :)

Step-by-step explanation:

Answer:

3x10=30   30x178=5,430

Step-by-step explanation:

[tex]3 \times 10 \times 178 \\ 30 \times 178 \\ 5340 \: \: answer[/tex]

Answer:

19.4 cm

Step-by-step explanation:

Hi there!

This is a right triangle. We're given an angle, the side adjacent to the angle and we're solving for the hypotenuse. Given this information, we can use the cosine ratio:

[tex]cos\theta=\frac{adj}{hyp}[/tex]

Plug in the given angle and side

[tex]cos71=\frac{6.3}{BC}\\BC=\frac{6.3}{cos71} \\BC=19.4[/tex]

Therefore, the length of BC is 19.4 cm when rounded to 3 significant figures.

I hope this helps!

Answer:

1. 95/96

2. 27/7

3. -8/245

Explanation:

1. First add together the two fractions 3/4 + 5/6. Find the least common denominator. In this case we can use 12. The 3/4 changes to 9/12 and the 5/6 changes to 10/12. adding these together we get 19/12. Next we divide 8/5 by 19/12. We use the keep, change, flip method to change the divide to multiply. keep the first fraction, change divide into multiply, and then take the reciprocal of the second fraction. You will now do 5/8 x 19/12. We now get 95/96 (I made a mistake in the answers the first time because I was rushing)

2. Divide the 3/2 and the 8/9 first. I will use the KCF (keep, change, flip) method to divide. 3/2 x 9/8 = 27/16  Now we divide the 7/16. After using KCF we can simplify and cross cancel (simplfy after changing the fraction and signs) 27/16 x 16/7 --> 27/1 x 1/7   The answer will come out to be 27/7

3. since there are no parentheses divide first. Use KCF and after you get the answer multiply (it is the same using negative numbers just watch out for signs)

Answer:

(For the image) A

Step-by-step explanation:

Answer:

no money left (0$), but no extra payment either.

Step-by-step explanation:

x = price per kg of crab

y = price per prawn

if he orders the first list, we know $12 will be left on his card, that means the order costs 100 - 12 = $88.

1×x + 4×y = 88

for the second list we know he would have to pay $28 extra, in addition to the $100 in the card.

so, 100 + 28 = $128

2×x + 2×y = 128

x + y = 64

now we have a system of 2 equations with 2 variables. we use one equation to express one variable by the other, and that we use then in the second equation to solve it.

x = 64 - y

(64 - y) + 4y = 88

64 + 3y = 88

3y = 24

y = 24/3 = $8

=>

x = 64 - y = 64 - 8 = $56

so, if he orders 1.5 kg of crab and 2 prawns we get a cost

1.5×56 + 2×8 = 84 + 16 = $100

so, he will not have any money left in the card, but he will not have to pay anything extra either.

Step-by-step explanation:

100Km/hours......V/T

Answer

8 More minutes

Step-by-step explanation:

15+ 17 = 32

32/.8 = 40

40 - 32 = 8

Answer:

Hello,

Answer A: 35 dimes and 5 nickels

Step-by-step explanation:

Let say

d the number of dimes

n the number of nickels

There are 25 coins: d+n=25

Total value : 0.1*d+0.05n=2.25

[tex]\left\{\begin {array} {ccc}d+n&=&40\\10*d+5*n&=&225\ multiplied\ by\ 100\\\end {array}\right.\\\\\\\left\{\begin {array} {ccc}n&=&40-d\\10*d+5*(40-d)&=&225\\\end {array}\right.\\\\\\\left\{\begin {array} {ccc}5*d&=&225-200\\n&=&40-d\\\end {array}\right.\\\\\\\left\{\begin {array} {ccc}5*d&=&25\\n&=&40-5\\\end {array}\right.\\\\\\\left\{\begin {array} {ccc}d&=&5\\n&=&35\\\end {array}\right.\\\\Proof:\\5*0.1+35*0.05=0.5+1.75=2.25\\[/tex]

Answer:

no as all fractions are rational numbers and that is a mixed fraction

Answer: #2 that's an absolute anser i am not sure if there are more or if this is just a multiple choice question

Step-by-step explanation:

Answer:

1ft x 36ft

2ft x 18ft

3ft x 12ft

4ft x 9ft

6ft x 6ft

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

If area is 18ft², then the dimensions of base x height = 18 x 2 = 36

all the possible positive integers that could represent its base and height can be determined be known by determining the factors of 36

factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36

Possible dimensions of base and heights are :

1ft x 36ft

2ft x 18ft

3ft x 12ft

4ft x 9ft

6ft x 6ft

Answer:

90

Step-by-step explanation:

I do not know if this is true or not but i am pretty sure this is perimeter

All triangles sides have to add up to 180

1. add up 25 and 65

2. 180-90=90

Then i think your answer is 90

Please do not give me hate if i did this wrong

Answer

yes it is correct

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

At - infinity, the function will tend to 0 and at +infinity, the function will tend to +infinity. Those are the two extremas of the function and extremas define the range. Range is all positive real number

Answer:

Step-by-step explanation:

a.  〖(9^8)〗^0 = 1

b.  〖〖[(-2)〗^4]〗^2 = 256

c.  〖–(3^2)〗^3 = -729