Jacques is standing 1200 meters from a cliff he is planning to climb. The angle of elevation from the ground to the top of the cliff is 35º. To the nearest meter, how tall is the cliff?
Answer:
840 m
Step-by-step explanation:
Please refer to the attached photo.
In the attached photo, h is the height of the cliff.
The following data were obtained from the attached photo:
Opposite = h
Adjacent = 1200
θ = 35 °
The height, h of the cliff can be obtained by using the Tan ratio as follow:
Opposite = h
Adjacent = 1200
θ = 35 °
Tan θ = Opposite /Adjacent
Tan 35 = h/1200
Cross multiply
h = 1200 × Tan 35
h = 1200 × 0.7
h = 840 m
Therefore, the cliff is 840 m tall.
What is the value of x that makes the given equation true?
4x−3=−12x+13
a) x=−3
b) x = 0
c) x = 1
d) x = 16
A quarterback is sacked for a loss of 4 yards. On the next play, his team loses 10 yards. Then the team gains 12 yards on the third play. Write an addition expression to represent the situation. Then find the sum and explain its meaning.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the question:
Play 1: Quarterback was sacked for a loss of 4 yards
Play 2 : Another loss of 10 yards
Play 3: a gain of 12 yards
Write an addition expression to represent the situation. Then find the sum and explain its meaning.
A loss of 4 yards = - 4
Loss of 10 yards = - 10
Gain of 12 yards = + 12
Addition expression for the scenario :
(-4) + (-10) + 12
Result :
-4 + (-10) + 12
= - 4 - 10 + 12
= - 14 + 12
= - 2
Hence, after two consecutive losses of 4 and 10 yards, the team wins 12 yards on the third play and the aggregate yards lost is reduced to 2 yards.
A triangle has a sides (x) feet, (x+3) feet, and (x+5) feet. The perimeter is 99.5 feet What is the measure for the largest side?
Answer:
35.5 feet
Step-by-step explanation:
x + x + 3 + x + 5 = 99.5
3x + 8 = 99.5
3x = 91.5
x = 30.5
Largest side = (x+5)
30.5 + 5 = 35.5 feet
What is the scale if: 50 km in the actual distance correspond to 4 cm on the map?
The scale is 1 cm: 12.5 km
To get this answer, you start off with the ratio 4 cm: 50 km which is given to us. It means that 4 cm corresponds to 50 km.
Divide both parts of the ratio by 4
4/4 = 1
50/4 = 12.5
The ratio 4 cm: 50 km simplifies to 1 cm: 12.5 km
1 cm on paper represents 12.5 km in real life.
The scale is 1cm on map represents 12.5 km in actual distance.
How to calculate the scale factor?Suppose the initial measurement of a figure was x units.
And let the figure is scaled and new measurement is of y units.
Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.
Then we have:
[tex]s \times x = y\\s = \dfrac{y}{x}[/tex]
Thus, scale factor is the ratio of the new measurement to the old measurement.
The ratio 4 cm: 50 km which is given to us means that 4 cm corresponds to 50 km.
Divide both parts of the ratio by 4;
4/4 = 1
50/4 = 12.5
Thus, The ratio 4 cm: 50 km simplifies to 1 cm: 12.5 km
Therefore, 1 cm on paper represents 12.5 km in real life.
Learn more about scale factors here :
https://brainly.com/question/8765466
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Please help me!!! A bag is filled with small and large marbles. The ratio of small to large marbles is 1:3. If there are eight more large marbles than small marbles, how many total marbles are in the bag?
Answer:
10 Marbles in total
Step-by-step explanation:
A ratio is pretty much a diversity between two things.
Examples:
Apples, green vs red
1 green apple : 3 red apples
Your Questions Explanation:
Marbles, small vs large
1 small marble : 3 large marbles
BUT if there are 8 MORE large marbles than small marbles
what that looks like as a ratio...
1:9
Then in total there are 10 marbles in the bag.
<3 Enjoy,
Dea
What fraction accurately represents the decimal 2.3
Answer:
23/10. or 2 3/10
Step-by-step explanation:
These are Literal Equations. Solve for g: aeg=10.
Answer:
g = 10/(ae)
Step-by-step explanation:
When variables are shown like that, in reality they are multiplied:
aeg = 10 is the same as a * e * g = 10
Isolate the variable, g. Note the equal sign, what you do to one side, you do to the other. Simply divide variables a & e from both sides:
(aeg)/ae = (10)/ae
g = 10/ae
g = 10/(ae) is your answer.
~
1a and 1b question what is the quadrant function
Answer:
a). Function is not a quadratic function
b). Quadratic function.
Step-by-step explanation:
1.a). x y Ist difference IInd difference
-2 -1 - -
-1 0 0 - (-1) = 1 -
0 4 4 - 0 = 4 [tex]d_1[/tex] = 4 - 1 = 3
1 9 9 - 4 = 5 [tex]d_2[/tex] = 5 - 4 = 1
2 15 15 - 9 = 6 [tex]d_3[/tex] = 6 - 5 = 1
Since, 2nd difference [tex]d_1[/tex], [tex]d_2[/tex] and [tex]d_3[/tex] from the table are not common, function represented by the table is not a quadratic function.
b). -3x²+ x = y - 11
-3x² + x + 11 = y
y = -3x² + x + 11
Since, the highest degree term of the given function is of 2nd degree given function is a quadratic function.
express -8 as a sum of a positive and a negative integer.
Answer:
-10 + 2
-88 + 80
please i need help badly please help me ;(
Answer:
Step-by-step explanation:
3^-32
Evaluate 3(a + b + c)2 for a = 2, b = 3, and c = 4.
Answer:
Step-by-step explanation:
3(2 + 3 + 4)^2
3(9)^2 = 3(81) = 243
What is the distance between -7 and 21 on a number line?
Answer:
The distance is 28
-2 (2x + 5) SIMPLIFY
I get one answer but my calculator gives me another pls help!!
Answer:
−2⋅(2x+5)
Step-by-step explanation:
NOTE: Angles not necessarily drawn to scale.
The answer is 47 degrees , using Linear Pair Axiom
plz mark Brainliest
#3 The question says the sun of two consecutive integers is 345. What are the integers?
#5 The sum of two consecutive even integers is 446. What are the two.integers?
Need help please
Step-by-step explanation:
#3 let the two consecutive integers be a, a+1.
a+a+1=345
2a+1=345
2a=345-1
2a=344
a=344/2=172...
the integers are 172, 173
#5 let the consecutive even integers be a, a+2
a+a+2=446
2a=446-2
2a=444
a=444/2=222..so the even integers are 222, 224
What is the slope of a line perpendicular to the line whose equation is
x+ 2y = –16. Fully reduce your answer.
Answer:
slope = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x + 2y = - 16 ( subtract x from both sides )
2y = - x - 16 ( divide all terms by 2 )
y = - [tex]\frac{1}{2}[/tex] x - 8 ← in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2
What is the area of a triangle with a base of 120 m and a height of 90 m
Answer:
Hey there!
Area=1/2bh
Area=1/2(120)(90)
Area=60(90)
Area=5400
Let me know if this helps :)
Sam wants to buy some new shoes. The shoes normally cost $79.99, but with her employee discount they only cost $51.99. How much was her employee discount? (to the nearest percent) _______ % off
Answer:
35%
Step-by-step explanation:
79.99-51.99=29/79.99-.35 rounded
Simplify the following expression: 1.5 - 4 + 13
Answer:
Hope this is help full
15.5
Step-by-step explanation:
1.5-4+13
2.5+13
15.5
Using the midpoint formula, determine the midpoint between the given coordinates. a. (-4, 4) and (-2, 2) M=( -3, ) b. (9, -10) and (-1, 26) M=( , )
Answer:
Step-by-step explanation:
a. (-4 - 2)/2 = -6/2= -3
(4 + 2)/2= 6/2 = 3
(-3, 3)
b. (9-1)/2= 8/2 = 4
(-10+26)/2= 16/2= 8
(4,8)
The graph will show the height of the red car as the time increases, Predict what this graph will look like before pressing start to run the Ferris wheel. Height (meters) Which statements about the graph are true? Check all that apply Each input generates an output value. As time increases, the height always increases. The input of height generates an output value of time. 80 40 After 60 seconds, the graph will display a second rotation, which looks the same. The graph shows the relationship of time to height.. 30 sec 60 sec Start Intro Done
Answer:1,4,5
Step-by-step explanation:
I just did it
can three lines intersect at one point?
Answer:
yes
Step-by-step explanation:
use this picture as an example
APPLYING EXPONENTS RULES 2.0 PLEASE helppppp
Answer:
gotta chill. hi
Step-by-step explanation:
Answer:
Hi, how are you?
Simplify 3y - 5(y+ 2) completely.
A. -2y- 10
B. -2y + 10
C. 4y- 3
D. 4y - 10
Answer:
A
Step-by-step explanation:
3y-5y-10
-2y-10 this is it
How much would a school save by using Company A instead of Company C to serve 800 students?
Answer:
500
Step-by-step explanation:
company a looks like it costs 3000 to serve 800 students and company c looks like it costs 3500 to serve 800
Answer:
600
Step-by-step explanation:
Please help ill give u a ( b r i l l i a n t)
Answer:
1.
[tex] \frac{91}{2} [/tex]
2.
[tex] \frac{121}{4} [/tex]
3.
[tex] \frac{226}{3} [/tex]
Step-by-step explanation:
1.
[tex] \frac{4}{1} \times \frac{5}{1} \\ 4 \times 5 \\ 20[/tex]
2.
[tex] \frac{3}{4} \times \frac{7}{6} \\ 18 \times 28 \\ 504[/tex]
HELP 50 POINTS Solve the system of equations using either the linear combination method or the substitution method. SHOW ALL STEPS! I need help badly. 2x + 5y = 1 -3x + 4y = -13
Step-by-step explanation:
2x + 5y = 1 and -3x + 4y = -13
From equation 1, 2x = 1 - 5y, x = 0.5 - 2.5y.
Substitute into equation 2:
-3(0.5 - 2.5y) + 4y = -13
-1.5 + 7.5y + 4y = -13
11.5y = -11.5
y = -1.
We know that x = 0.5 - 2.5y = 0.5 - 2.5(-1) = 3
Hence x = 3, y = -1.
what is the surface area of this cylinder ?q
Answer:
130 pi or 408.41
Step-by-step explanation:
formula for sa of a cylinder is 2pir^2+2pirh
you just fill in the r and h
Answer:
[tex]\approx 408.2[/tex] in²
Step-by-step explanation:
The surface area of a cylinder can be represented as [tex]2\pi rh+2\pi r2[/tex]. Let's represent pi as 3.14 and r is 5 and h is 8.
[tex](2\cdot 3.14\cdot 5\cdot8) + (2\cdot 3.14 \cdot 5^2)\\\\251.2 + 157 = 408.2[/tex]
This means the surface area of this cylinder is 408.2 in².
Hope this helped!
3;7;11;15... are the first four terms of an arithmetic sequence.
Given the last term is 671 determine the sum of the terms that are not divisible by 3
dAnswer:
BAN ME
Step-by-step explanation:
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