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3 years ago

Corn costs $2 for 6 ears. Carmen bought 24 ears of corn. How much did she spend?

1 answer:

6 0

Carmen bought $8 of corn. Carmen bought 24 wars of corn but 6 ears of corn cost $2. 24 divided by 6 is 4. Which means Carmen bought 4 sets of 6 ears of corn. As Carmen bought four sets of 6 ears of corn, you multiply 4 times the $2 to get your price, which is $8. Ending with the solution that Carmen spent $8.

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A man finds that the angle of elevationof a building is 22º. After walking 20 m towards the building, he finds that the angle of

tensa zangetsu [6.8K]

Answer:

The height of the building is 21.38 m

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The image attached shows the measures and angles provided in the problem. The first angle of elevation is y=22°, the man walks B=20 m and finds the new angle of elevation is x=33°.

It's required to find the height of the building H.

The tangent ratio relates the opposite side with the adjacent side of a given angle. Applying it to the larger triangle:

$\displaystyle \tan y=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 22^\circ=\frac{H}{D+B}$

Multiplying by D+B:

$\tan 22^\circ(D+B)=H$

Dividing by tan 22°

$\displaystyle D+B=\frac{H}{\tan 22^\circ}$

Subtracting B:

$\displaystyle D=\frac{H}{\tan 22^\circ}-B\qquad\qquad[1]$

Applying to the smaller triangle:

$\displaystyle \tan 33^\circ=\frac{H}{D}$

Multiplying by D:

$\tan 33^\circ D=H$

Substituting from [1]:

$\displaystyle \tan 33^\circ \left(\frac{H}{\tan 22^\circ}-B\right)=H$

Substituting values:

$\displaystyle 0.6494 \left(\frac{H}{0.4040}-20\right)=H$

Operating:

$1.6074H-12.988=H$

$1.6074H-H=12.988$

$0.6074H=12.988$

$H = 12.988/0.6074$

H = 21.38 m

The height of the building is 21.38 m

3 0

3 years ago

The perimeter of a triangular garden is 66 feet. Find the length of the three sides if the middle length side is 4 feet greater

Georgia [21]

Answer:

11 feet, 26 feet, 29 feet

Step-by-step explanation:

(2x+4 middle) + (3x- 4 longest) + (x smallest )= 66

2x +3x +x +4 - 4= 6x

6x = 66

x= 66/6

x = 11

smallest = 11 feet

middle = 2(11) + 4 = 26 feet

longest = 3(11) -4 = 29 feet

4 0

3 years ago

Parmesan cheese was on sale for $13.60 per pound. Wesley bought a piece of the Parmesan cheese that weighed 1 1/8 pounds. How mu

sweet [91]

He payed $15.30 is you divide 13.60 by 8 you get 1.70then you just add 13.60+1.70 because he also bought a pound

4 0

3 years ago

Read 2 more answers

someone pls help me and please follow directions bellow fastest and correct answer will get brainiest and heart, this question w

lorasvet [3.4K]

-5^9 ; (5^3)^-2 <---- Neither of these is equal to 1/(5^9)

3^5 * 3^2; 3^20/3^2 <--- Neither of these is equal to 3^10

4*x; x^-4/x^8 <---- Neither of these is (always) equal to x^4

0 <--- This is the only value not equal to 1, the value of 8^0

6 0

4 years ago

How long does it take $500 to double at a simple interest rate of 24%?

yuradex [85]

Answer:

4 years and 2 months

Step-by-step explanation:

Simple interest formula

A = P(1 + rt)

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
t = time (in years)

Given:

A = $500 × 2 = $1,000
P = $500
r = 24% = 0.24

Substitute the given values into the formula and solve for t:

$\implies \sf 1000 = 500(1 + 0.24t)$

$\implies \sf \dfrac{1000}{500}=(1 + 0.24t)$

$\implies \sf 2=1 + 0.24t$

$\implies \sf 1 = 0.24t$

$\implies \sf t=\dfrac{1}{0.24}$

$\implies \sf t=4 \frac{1}{6} \:years$

$\implies \sf t=4\:years\:2\:months$

Therefore, it takes 4 years and 2 months for the initial investment of $500 to double at a simple interested rate of 24%.

3 0

2 years ago