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Arturiano [62]
3 years ago
9

Corey is visiting the Jefferson

Mathematics
1 answer:
lutik1710 [3]3 years ago
8 0

Answer:

Step-by-step explanation:

He wants to estimate the height of the statue of Thomas Jefferson. Corey stands so that his line of vision to the top and base of the statue form a right angle as shown in the diagram. ... So, the total height of the statue is about 159 + 68 or 227 inches, which is equivalent to 18 ft 11 in. ANSWER: 18 ft 11 in.

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What is the slope?<br> Please help!!!
adell [148]
Check the picture below.

8 0
3 years ago
Please help, I will give brainliest if you answer.
ra1l [238]

Answer:

so required angles are 50.7°and 129.3°

Step-by-step explanation:

Let the angle be x

another angle = x + 78.6°

so,

x + x + 78.6° = 180° {being sum of supplementary angle}

so, 2x + 78.6° = 180°

or, 2x = 180° - 78.6°

or, x = 101.4/2

so, x = 50.7°

so another angle = x + 78.6°

= 50.7° + 78.6°

= 129.3°

7 0
3 years ago
4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take
Katarina [22]

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

A(t)=P(1+r)^t

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t.  Filling in:

33800=4400(1+.075)^t and

33800=4400(1.075)^t

Begin by dividing both sides by 4400 to get

7.681818182=1.075^t

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

ln(7.6181818182=ln(1.075)^t

The power rule of natural logs says we can move that exponent down in front, giving us:

ln(7.681818182)=t*ln(1.075)

Divide both sides by ln(1.075) to get

\frac{ln(7.61818182)}{ln(1.075)} =t

Do this division on your calculator to get

t = 28.2 years

6 0
3 years ago
Read 2 more answers
A line, y = mx + b, passes through the point (10, 3) and is parallel to the line 2x+5y=12.
slava [35]

We have been given that a line y=mx+b passes through the point (10, 3) and is parallel to the line 2x+5y=12. We are asked to find the y-intercept of the line.

First of all we will rewrite our given equation in slope-intercept form as:

2x-2x+5y=12-2x

5y=-2x+12

\frac{5y}{5}=-\frac{2}{5}x+\frac{12}{5}

y=-\frac{2}{5}x+\frac{12}{5}

We know that slope of parallel lines is equal, so slope of parallel line to our given line would be -\frac{2}{5}.

Now we will use slope-intercept form of equation to find y-intercept.

y=mx+b, where,

m = Slope,

b = The y-intercept.

Let us substitute m=-\frac{2}{5} and coordinates of point (10,3) in above equation as:

3=-\frac{2}{5}(10)+b

3=-2(2)+b

3=-4+b

3+4=-4+4+b

7=b

Therefore, the y-intercept is 7 and our required equation would be y=-\frac{2}{5}x+7.

5 0
3 years ago
Label the sides in relation to the identified angle.<br><br> PLEASE HELP ILL GIVE BRAINLY
sesenic [268]
F= hypotenuse
E= opposite
G= adjacent

4 0
3 years ago
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