Answer:
The height is 3791 ft.
Step-by-step explanation:
You need to make a drawing. Start with a vertical segment, 2 inches long, on the left side of the page. Label the top point A and the bottom point B. At the bottom endpoint, draw a longer horizontal segment, 4 inches long, to the right. Label the bottom right endpoint C. Connect A and C with a segment. Angle C is the original angle of elevation. On the bottom horizontal side, approximately 1 inch to the left of C, draw point D. Connect D and A with a segment. DA = 1000 ft. m<C = 34.8°. m<ABD = 40.4°. We are looking for AB, the height of the volcano.
We can work on triangle ADC.
m<C = 34.8°
Angles ADB and ADC are a linear pair, so m<ADC = 180° - 40.4° = 139.6°
m<DAC + m<ADC + m<C = 180°
m<DAC + 139.6° + 34.8° = 180°
m<DAC = 5.6°
Using the law of sines, we can find AC.
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]
[tex]\dfrac{\sin 5.6^\circ}{1000} = \dfrac{\sin 139.6^\circ}{AC}[/tex]
[tex]AC = \dfrac{1000\sin 139.6^\circ}{\sin 5.6^\circ}[/tex]
[tex] AC = 6642~ft [/tex]
Now we use triangle ABC. AC = hypotenuse. AB = opposite leg. <C is known angle.
[tex] \sin C = \dfrac{opp}{hyp} [/tex]
[tex]\sin 34.8^\circ = \dfrac{AB}{6642~ft}[/tex]
[tex]AB = 6642~ft \times \sin 34.8^\circ[/tex]
[tex] AB = 3791~ft [/tex]
Answer: The height is 3791 ft.
How many solutions does the following equation have ?
- 32 +9 – 2x = -12 – 5x
Choose 1 answer:
No solutions
B
Exactly one solution
С
Infinitely many solutions
Answer:Exactly one solution.
Step-by-step explanation:
- 32 +9 – 2x = -12 – 5x
1.Add numbers
-23 - 2x= -12-5x
2.Rearrange terms
-2x - 23 = -12 - 5x
3. Rearrange terms
-2x - 23 = -5x-12
4. Add 23 to both sides of the equation
-2x-23+23= -5x-12+23
5.Simplify
-2x= -5x+11
6.Add 5x to both sides of the equation
-2x+5x=-5x+11+5x
7.Simplify
3x=11
8.Divide both sides of the equation by the same factor
[tex]\frac{3x}{3}[/tex] = [tex]\frac{11}{3}[/tex]
9.Simplify and Solution
x= [tex]\frac{11}{3}[/tex]
The Maxwell family goes out for dinner. The price for the
meal is $90. The sales tax on the meal is 7.25% and they
also want to leave an 18% tip. What is the total cost of the
meal?
Answer:
$113.90
Step-by-step explanation:
Find the cost of the meal with sales tax:
90 x 0.075 = 6.525
Add that to the original cost of the meal:
90 + 6.525 = 96.525
Find the cost of the tip:
96.525 x 0.18 = 17.3745
Add the tip to the meal price:
96.525 + 17.3745 = 113.8995
Round to get your final answer
how many minutes of practice does one picture represent
I-ready
I REALLY NEED HELP i will give you brainlyiest plsss help
Answer:
where is the picture i can answer it if u put the picture
Step-by-step explanation:
Can u add a image? I can't help if I can't see the question.
PLEASE HELP QUICK
Solve 3/10n - 3 1/5= -1 1/5.
n = 8
n = - 6/25
n = 6 2/3
n = -12 2/3
Answer:
It is 6 and 2/3
Step-by-step explanation:
Hope this helps
Answer:
6 2/3
Step-by-step explanation:
Credits to the person above :)
Find the perimeter in simplest form and explain your work
9514 1404 393
Answer:
7 1/8 yd
Step-by-step explanation:
The perimeter is the sum of the three side lengths. They are all the same, so we can use multiplication to find their sum.
P = 3·(2 3/8 yd) = 6 9/8 yd . . . . . 9/8 = 1 1/8
P = 7 1/8 yd
The perimeter is 7 1/8 yards.
Answer:
[tex]perimeter \: of \: the \: triangle \\ = 2 \frac{3}{8} +2\frac{3}{8} + 2 \frac{3}{8} \\ = 3 \times 2 \frac{3}{8}\\= 3 \times \frac{19}{8} \\ = \frac{57}{8} \: yd \\ = 7 \frac{1}{8} \: yd[/tex]
57/8 yards is the right answer.PLEASE HELP THIS IS TIMED
consider functions f and g.
[tex]f(x) = 3 \sqrt{x} + 1[/tex]
(SEE IMAGE ABOVE)
what is the value of f(g(1))
Answer:
f(0) = +1
Step-by-step explanation:
g(1) for x = 1 is Zero .
Substitute it into the function f(x) then you will get 1.
Given: x + 2 < -5.
Choose the solution set.
{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}
Answer:
the third one
Step-by-step explanation:
x+2<-5
x<-5-2
x<-7
are behind on your classes?
yes. how'd you knowwww?
Answer:
no
Step-by-step explanation:
how does energy from the sun travel to earth ?
Answer:
the heat.. energy is heat and when its hot outside thats the energy from the sun
Can somebody please help me with this pleaseee
Answer: -2, 2
Step-by-step explanation:
0 = 5x^2 -20
0 = 5(x^2 -4)
0 = 5(x - 2)(x + 2)
0 = x - 2
2 = x
0 = x + 2
-2 = x
Which of the following values of n will result in a true statement when
substituted into the given equation?
2n + 4 = 12
A n = -1
B n = 0
C. n = 4
D. n = 6
Answer:
C. n=4
Step-by-step explanation:
got it
what is the domain of this function? 
x
2
5
8
11
14
17
20
y
1
3
7
13
21
31
43
answer soon please ty!!!
Answer:
no real numbers
Step-by-step explanation:
Which expression shows 18 + 15 written as a product of two factors?
3(6+5)
6(3+5)
3(9+5)
6(3+2)
Pls help
The expression that shows 18 + 15 as a product of two factors is 3(6 + 5)
How to rewrite the expression as a product?The expression is given as:
18 + 15
Factor out 3 from the expression
18 + 15 = 3 * (6 + 5)
Hence, the expression that shows 18 + 15 as a product of two factors is 3(6 + 5)
Read more about expressions at:
https://brainly.com/question/723406
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Jane spends about 1/6 of the day sleeping. How many hours in a day does Jane sleep? How many hours in a week?
Answer:
Jane spend 4 hours in a day sleeping, and 28 hours in a week.
Step-by-step explanation:
In 1 day, there are 24 hours. 24 multiplied by 1/6 is 4. I know this because 24 x 1/6 = 24/1 x 1/6 = 24/6 = 4/1 = 4.
In 1 week, there are 168 hours. 1/6 multiplied by 168 is 28. I know this because 168 x 1/6 = 168/1 x 1/6 = 168/6 = 28/1 = 28
I would appreciate brainliest.
which of the following in an organic molecule
A.salt
B.lipid
C.carbon dioxide
D.water
Answer:
B. lipid is an organic molecule
If f(x) = 5 + 4(x - 4)?,
what is f(7)?
Answer:
Let's solve for f.
x=5+4(x−4)f(7)
Step 1: Flip the equation.
28fx−112f+5=x
Step 2: Add -5 to both sides.
28fx−112f+5+−5=x+−5
28fx−112f=x−5
Step 3: Factor out variable f.
f(28x−112)=x−5
Step 4: Divide both sides by 28x-112.
f(28x−112)28x−112=x−528x−112
f=x−528x−112
Answer:
f=x−528x−112
Brady needs to cut a piece of scrapbook paper
12 centimeters long. He cuts pieces of the following
lengths. Which cut results in a percent error of 15%?
Select all that apply.
Answer:
Option A and Option C
Step-by-step explanation:
If we know that we have to cut a peice of paper 12 centemiters long, that means a 15% error would be cutting out one of the following lengths....
12 - 12(0.15) = 10.2 cm
or
12 + 12(0.15) = 13.8cm
So from this, we see that the answers are Option A and Option C
A plane leaves at 11:22 a.m. and arrives at 3:13 p.m. How long was the flight?
A. 3 hours and 51 minutes long
B. 3 hours and 35 minutes long
C. 14 hours and 35 minutes long
D. 4 hours and 35 minutes long
E. 8 hours and 9 minutes long
Answer:
A. 3 hours and 51 mins long
Step-by-step explanation:
22-13= 9 min difference
11-3=4 but since there is a 9 min difference it would be 9 mins away from 4 hours so that why is it 3 hours and 51 minutes long
hope this wasnt confusing
In an effort to save money, Zoe decides to cut back on the number of meals she eats at restaurants each month. She tracks the
number of meals she eats out each month for a year. The data is recorded in the dot plot below.
O
1
2
3
4
5 6 7 8 9 10 11 12 13 14 15
Number of Meals
Which statement about the data is true?
0
The data is skewed left with an outlier.
a
The data is skewed left with no outlier.
The data is skewed right with an outlier.
The data is skewed right with no outlier.
Answer:
The data is skewed left with an outlier.
Explanation:
Skewness occurs when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the entries lie to the right, so the data set is skewed left.
Find the difference: 5.68 -
- 2.15 - (-1.34) = *
Answer:
THE ANSWER FOR THIS QUESTION IS 9.17
Jenna wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet. She right and solve the equation
Answer:
I mean I don't fully understand this bc the question doesn't fully make sense but she should use 15.5 feet of fencing on each side. Hope that helps
Step-by-step explanation:
Write the slope-intercept form of the equation of the line through the point: (3,2) and slope =2
Answer:
y=2x-4
Step-by-step explanation:
Evaluate the function f(x) = 3x-5 when x= -3
f(-3)
PLEASE HELP
What is 2/3 of 15% of $2,000?
F. $100
G. $200
H. $300
J. $450
K. $500
Answer:
$200 dollars my friend.
Step-by-step explanation:
Hope I helped!
The solution is Option G.
The value of the equation A = ( 2/3 ) x 15% x $ 2000 = $ 200
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( 2/3 ) x 15% x 2000 be equation (1)
On simplifying the equation , we get
A = ( 2/3 ) x ( 15/100 ) x 2000
A = ( 2/3 ) x ( 15 ) x ( 20 )
On further simplification , we get
A = ( 2/3 ) x 300
A = 2 x 100
A = $ 200
Therefore , the value of A is $ 200
Hence , the equation is A = $ 200
To learn more about equations click :
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please explain how to get the answer to this.
Answer:
65°
Step-by-step explanation:
They are corresponding angles if M and N are parallel
Answer:
m∠b = 65°
Step-by-step explanation:
∠b and the 65° angle are known as corresponding angles meaning they are equivalent. Therefore, m∠b is 65°.
What cell generates energy for all the other cells (it’s for science but it doesn’t show science as a subject so yes)
lol, that would be biology
but I'd say its the mitochondria
The school collected money for sweatshirts. If 75 students bought sweatshirts and the total cost was $1,260, how much did each student pay?
Answer:
16.08
Step-by-step explanation:
Here are the ingredients needed to make 20 cookies.
Cookies
Ingredients to make 20 cookies.
250 g butter
120 g caster sugar
300 g flour
Sam is going to make some cookies.
She has these ingredients.
625 g butter 360 g caster sugar 1000 g flour
Work out the greatest number of cookies that Sam can make with her ingredients.
You must show your working.
Answer:
50
Step-by-step explanation:
because 250 g = 20 cookies
500g = 40 cookies
625 = 50 cookies
120 g = 20 cookies
240 g = 40 cookies
360 g = 60 cookies
but you only able to make 50 from butter so the answer is 50
~Help, please-~
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Also out of all these boys which one do you think is the [tex]cutest[/tex]?
1. Katsuki Bakugou
2. Eijiro Kirishima
3. Izuku Midoriya
4. Denki Kaminari
5. Tenya Ida
6. Yuga Aoyama
7. Mashirao Ojiro
8. Koji Koda
9. Rikido Sato
10. Mezo Shoji
11. Hanta Sero
12. Fumikage Tokoyami
13. Shoto Todoroki
14. Minoru Mineta
15. Tamaki Amajiki
Answer:
never heard of them
and the answer is choice B.
Step-by-step explanation:
alternate exterior angles have the same measure
A bank offers an annual simple interest rate of 6% on home improvement loans. How much would Tobias OWE IN ALL if he BORROWED $12,000 over a period of 3 years?
Answer: $14160
Step-by-step explanation:
Simple interest would be calculated as:
= PRT/100
where,
P = Principal = $12000
R = Rate = 6%
T = Time = 3 years
Simple interest = ($12000 × 6 × 3)/100
= $216000/100
= $2160
The amount that Tobias owe in all would be:
= $12000 + $2160
= $14160