Answer:
10
Step-by-step explanation:
You use the distance formula by finding the x and y difference, and you get 8, for x value, 6 for y value, and then you use Pythagorean theorem to get 10 for AB.
PLEASE HELP ME WITH PRE CAL!!
A drone is flying over a college campus. The drone spots the cafeteria on the west end of campus at a 27 ° angle of depression and the sports complex on the east end of campus at a 34° angle of depression. If the cafeteria and sports complex are separated by a straight road 2.3 mi long, how high is the drone?
Answer:
0.67 mi
Step-by-step explanation:
The diagram illustrating the question is shown in the attach photo.
In triangle DCA,
Opposite = H
Adjacent = b
Angel θ = 27°
Tan θ = Opp /Adj
Tan 27° = H/b
Cross multiply
H = b x Tan 27°... (1)
From triangle DSA,
The diagram illustrating the question is shown in attach photo.
In triangle DCA,
Opposite = H
Adjacent = 2.3 – b
Angel θ = 34°
Tan θ = Opp /Adj
Tan 34° = H/ 2.3 – b
Cross multiply
H = Tan 34° (2.3 – b) .. (2)
Equating equation (1) and (2)
b x Tan 27° = Tan 34° (2.3 – b)
0.5095b = 0.6745(2.3 – b)
0.5095b = 1.55135 – 0.6745b
Collect like terms
0.5095b + 0.6745b = 1.55135
1.184b = 1.55135
Divide both side by 1.184
b = 1.55135/1.184
b = 1.31 mi
Substitute the value of b into any of the equation to obtain the height (H). In this case we shall use equation 1.
H = b x Tan 27°
H = 1.31 x Tan 27°
H = 0.67 mi
Therefore, the height of the drone is 0.67 mi
The height of the drone is 0.67 mi
The calculation is as follows:In triangle DCA,
Opposite = H
Adjacent = b
Angel θ = 27°
Tan θ = [tex]Opp \div Adj[/tex]
Tan 27° =[tex]H\div b[/tex]
Now we have to do the cross multiply
[tex]H = b \times Tan 27^{\circ}... (1)[/tex]
Now
From triangle DSA,
In triangle DCA,
Opposite = H
Adjacent = 2.3 – b
Angel θ = 34°
Tan θ = [tex]Opp \div Adj[/tex]
Tan 34° = [tex]H\div 2.3 - b[/tex]
Now we have to do the cross multiply
H = Tan 34° (2.3 – b) .. (2)
Now
Equating equation (1) and (2)
[tex]b \times Tan 27^{\circ} = Tan 34^{\circ} (2.3 - b)[/tex]
0.5095b = 0.6745(2.3 – b)
0.5095b = 1.55135 – 0.6745b
Now
0.5095b + 0.6745b = 1.55135
1.184b = 1.55135
b = 1.31 mi
Now
[tex]H = b \times Tan 27^{\circ}\\\\H = 1.31 \times Tan 27^{\circ}[/tex]
H = 0.67 mi
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How do I solve this problem? I need to find the volume of this composite figure.
Step-by-step explanation:
V = (12*4*5) + (2*3*5) + (5*3*5) + (12*4*5)
V = 240 + 30 + 75 + 240
V = 585 cm^3
A missing data value from a set of data has a z-score of –2.1. Fred already calculated the mean and standard deviation to be Mu = 43 and Sigma = 2. What was the missing data value? Round the answer to the nearest whole number. 39 41 45 47
Answer:
39
Step-by-step explanation:
i just did it on usa test prep
Using the normal distribution, it is found that the missing data value was of 39.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, we have that:
[tex]\mu = 43, \sigma = 2, Z = -2.1[/tex]
The missing data value is X, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2.1 = \frac{X - 43}{2}[/tex]
[tex]X - 43 = -4.2[/tex]
[tex]X = 38.8[/tex]
Rounding up, the missing data value was of 39.
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Mr. Whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and then compares those variations to the average annual trend. Matea recorded that the water level in one part of the river fell 1.05 millimeters per year for 2.48 years. This data will be compared to the average annual trend, which shows the water level rising 1.8 mm/year. Which number represents the rate at which the water level fell? Which number should the rate be multiplied by to find the total variation in water level?
This question is not complete because is lacks the options for each question.
Complete question
mr. whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and then compares those variations to the average annual trend. matea recorded that the water level in one part of the river fell 1.05 millimeters per year for 2.48 years. this data will be compared to the average annual trend, which shows the water level rising 1.8 mm/year.
1) Which number represents the rate at which the water level fell?
a. -1.05 mm/year
b. -1.8 mm/year
c. -2.48 years
d. -2.48 mm/year
2) Which number should the rate be multiplied by to find the total variation in water level?
a. 1.05 mm/year
b. 1.8 mm/year
c. 2.48 years
d. 2.48 mm/year
Answer:
1) Which number represents the rate at which the water level fell?
a. -1.05 mm/year
2) Which number should the rate be multiplied by to find the total variation in water level?
c. 2.48 years
Step-by-step explanation:
Total Variation in the water level is calculated by multiplying the rate at which the water level and number or years at which the rate of the water level fell
From the question, we can see that the rate at which the water level fell is -1.05 mm/year and number of years at which the water level fell is 2.48mm
Hence,Total Variation in the water level is calculated as
-1.05 mm/year × 2.48 years
Total variation in the water level = -2.604mm
Answer:
Which number represents the rate at which the water level fell?
-1.05 mm/year
Which number should the rate be multiplied by to find the total variation in water level?
2.48 years
Step-by-step explanation:
What is the value of the 6 In the number 48.061
Answer:
.06 or six hundredths
Step-by-step explanation:
Answer:
Hundredth place
A lodge rents snowboards for $40/day plus a $20 flat fee for safety gear. Write an equation to represent the relationship between the total cost, c, and number of days renting a snowboard, d.
Answer:
(40+20)^d=c
Step-by-step explanation:
Answer:= let me double check yall
Step-by-step explanation:40+20+c+d
A rectangular prism has a length of 12in, a height of 5in, and a width of 8in. What is its volume, in cubic in?
Answer: 480 in^3
Step-by-step explanation:
v= l * w*h
v = 12 * 8 * 5
v= 480
WHAT IS 666x666 help me
Answer:
666 x 666 = 443,556
Answer:
443556
Step-by-step explanation:
666 * 666 = 443556
666
x666
-------
443556
2. 2x - y = 6,
- x + y = -1
Answer:
x = 5
y = 4
Step-by-step explanation:
just substitute the value of one variable into the other
-x +y = -1
or y = -1 +x <-------- (i just added x to the right side)
now u know what y is equal to, just substitute that value into the first equation
2x - (-1+x) = 6 <-------- instead of y, i put the value of y from the 2 equation
NOW SOLVE FOR X!
2x +1 -x = 6
x + 1 = 6
x = 5
now solve for y since you have the value of x
y = -1 + x
or y = -1 + 5
y = 4
Answer:
y=3.166 x=4.166
Step-by-step explanation:
ABC is a straight angle.which equation can be used to find the measure of the unknown angle?
Answer:
Straight angles are all 180 degrees, so it must be an equation that equals 180. I hope that this helps! be saffffeee!
Answer:
140 x 180
Step-by-step explanation:
Using the distributive law, work out
the solution for the following:
87 x 63 + 87 x 37
Answer:
the answer is 8700
Step-by-step explanation:
(87 x 63) + (87 x 37)= 8700
hope this helps :-)
can someone please help me :)
Answer:
B
Step-by-step explanation:
PLEASE HELP I'VE ASKED THIS 2 TIMES NOW PLEASE HELP
Can adjacent angles be complementary?
Give a brief explanation as to why or why not.
Answer:
Two adjacent angles can be complementary
Step-by-step explanation:
if they add up to 90°. For example, a diagonal of a square will split the right angle into two equal angles; 45°+45°. In a right triangle, the altitude from a right angled vertex will split the right angle into two adjacent angles; 30°+60°, 40°+50°, etc.
a. How many groups of 6 erasers can be formed from the 18 erasers? Explain.
b. In how many ways can 3 aliens be selected? Explain.
c. In how many ways can 3 aliens and 3 flying saucers be selected? Explain.
d. What is the probability that 3 aliens and 3 flying saucers will be selected? Explain.
in
Answer:
Step-by-step explanation:
Answer:
1.3 groups beucae 18/6=3.
b.???
c.what
d. ru serious
Step-by-step explanation:
How do I use D = rt to find the distance (D) where r = 6 and t =9?
Answer:
The answer will be 54
Step-by-step explanation:
D = r x t
R equals to 6 and t equals to 9
So, substitute r with 6 and t with 9 which will give you distance = 6 x 9 = 54
I don’t know how to do this
Answer:
See attachment
Step-by-step explanation:
please please help i will mark brainlist
Answer:
Answer is option a) 4/5
Here value of opposite side is 40
And the value of hypotenuse is 50
Step-by-step explanation:
[tex] \sin(C) = \frac{opposite \: side \: }{hypotenuse} \\ = \frac{40}{50} \\ = \frac{4}{5} [/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
A teacup has a radius of 5 centimeters. What is the teacup's diameter? Help please.
Answer:10
Step-by-step explanation:
Radius is half the diameter
Answer:
10 cm
Step-by-step explanation:
the radius is half the diameter so 5x2=10cm
Triangle A B C is shown. Angle A B C is 95 degrees and angle B C A is 45 degrees. The length of A B is c and the length of B C is 3.0 centimeters. Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction Which represents the value of c? C = StartFraction (3) sine (40 degrees) Over sine (45 degrees) EndFraction c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction c = StartFraction sine (40 degrees) Over (3) sine (45 degrees) EndFraction c = StartFraction sine (45 degrees) Over (3) sine (40 degrees)
Answer:
(B)c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction
[tex]c=\dfrac{3 * \sin 45}{sin 40}[/tex]
Step-by-step explanation:
In Triangle ABC is shown.
[tex]\angle A B C=[/tex] 95 degrees
[tex]\angle B C A =[/tex] 45 degrees.
|AB|=c
|BC|=3.0 cm
[tex]\angle A+\angle B+\angle C=180^\circ\\\angle A+95+45=180\\\angle A=180-140=40^\circ[/tex]
Using the Law of Sines
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
[tex]\dfrac{3}{\sin 40}=\dfrac{c}{\sin 45}\\\\$Cross multiply\\c*\sin 40 =3 * \sin 45\\\\c=\dfrac{3 * \sin 45}{sin 40}[/tex]
The correct option is B.
Answer:
B
Step-by-step explanation:
Please help asap! Will give brainliest! Please answer correctly! No guessing. Check all that apply.
Answer:F
Step-by-step explanation:
Answer:
i honestly think that its A, C, D, F.
Step-by-step explanation:
for the A i think that you need to write down the facts so you dont forget and you remember when someone asks you a question.
For C you should gather your resources so you can do the experiment again if your not satisfied with the first result.
For D you should draw a diagram so you can keep track of your information that you used to get the final solution.
For F, you should always make sure that you didn't mess up and that you can redo it to double check.
Denzel wants to walk to the store from his house but he is not sure how far away it is. Find the distance between his house
(-8, -9) and the store (-4, -10). Each unit is equal to one mile. Round your answer to the nearest mile.
22 miles
4 miles
31 miles
17 miles
Answer:
4 miles
Step-by-step explanation:
Suppose we have two points:
[tex]A = (x_{1}, y_{1})[/tex]
[tex]B = (x_{2}, y_{2})[/tex]
The distance between these points is:
[tex]D = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
In this question:
Points (-8, -9) and (-4, -10).
So the distance is:
[tex]D = \sqrt{(-8 - (-4))^{2} + (-9 - (-10))^{2}} = \sqrt{17} = 4.12[/tex]
The distance is 4.12 miles.
Rounding to the nearest mile, 4 miles.
what is the slope of the equation 3y=9x-6?
Answer:
It's 3
Step-by-step explanation:
Just divide the entire equation by 3 to isolate the y variable on the left side.
y = mx + b (m is the slope)
and in this equation, after you divide by 3, the value of m is 3.
What is the volume, in cubic in, of a rectangular prism with a height of 6in, a width of 10in, and a length of 2in?
The answer is 120
do 6 times 10 = 60
then 60 x 2 = 120 cubic in
120 cubic in is the volume of the rectangular prism.
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.
The volume of a rectangular prism is given by the formula:
V = lwh,
where l is the length, w is the width, and h is the height.
Plugging in the given values, we get:
V = (2 in) x (10 in) x (6 in)
V = 120 cubic in
Therefore, the volume of the rectangular prism is 120 cubic in.
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Find the slope: (-1,5) and (2,-3)
Answer:
-2/3
Step-by-step explanation:
Answer:
(-3-5)/(2-(-1))=-8/3
Step-by-step explanation:
2) Shawn's cat is currently stuck in a tree. Shawn has a ladder that is 15 feet long and he places the ladder 10 feet from the base of the tree. At what angle of depression is Shawn's cat looking at him?
Answer:
48.19°
Step-by-step explanation:
Check the attachment for the diagram.
The set up is a right angled triangle
Using the SOH, CAH, TOA trigonometry ratio to get the angle of depression theta.
The length of the ladder will be the hypotenuse of the triangle.
If he places the ladder 10 feet from the base of the tree, the adjacent of the triangle will be the base of the triangle.
Given Hypotenuse = 15feet
Adjacently = 10feet
According to CAH;
cos(theta) = Adjacent/Hypotenuse
cos(theta) = 10/15
cos(theta) = 2/3
theta = arccos(2/3)
theta = 48.19°
Shawn cat is looking at him at an angle of depression of 48.19°
What is the 14th term in the sequence 6n + 1
Answer:
85
Step-by-step explanation:
6(14)+1=
84+1=
85
Hope this helps! please mark brainliest :)
Identifying Characteristics Determine the statements that characterize cylinders and cones. Check all that apply. Cylinders have two circular bases. Cones have one circular base. The lateral area of a cylinder is a triangle. The lateral area of a cone is a rectangle. The lateral area of a cylinder is related to circumference of the circular bases.
Answer:
a,b, and e
Step-by-step explanation:
i did the lesson on edge2020
Charlotte have 36 apple,Dylan have 1 apple and Kevin have 56 apple how many apples are left?
Answer:
93 apples?
Step-by-step explanation:
36 + 1 + 56 = 93 apples?
What were the causes of the American Revolution? *
Answer:
The Founding of the Colonies.
French and Indian War.
Taxes, Laws, and More Taxes.
Protests in Boston.
Intolerable Acts.
Boston Blockade.
Growing Unity Among the Colonies.
First Continental Congress.
Step-by-step explanation:
80 POINTS! Help with this question please!!!! 80 POINTS!
Answer:
C. Translation 5 units left and 2 units down
Step-by-step explanation:
Let's take a look at A', which is (0, 0). This is the result of A, which is (5, 2) being transformed somehow. Notice that the x-coordinate moved 5 units to the left (from 5 to 0, which means we subtract 5 from 5). And, notice that the y-coordinate moved 2 units down (from 2 to 0, so we subtract 2 from 2).
Look to see if this works for the other two points:
B(6, 1): if we subtract 5 from the x-coordinate 6, we get 6 - 5 = 1, which matches the x-coordinate of the image B'. If we subtract 2 from the y-coordinate of B, which is 1, we get 1 - 2 = -1, which also matches the y-coordinate of B'. So, this works.
C(4, 5): if we subtract 5 from the x-coordinate 4, we get 4 - 5 = -1, which matches the x-coordinate of the image C'. If we subtract 2 from the y-coordinate of C, which is 5, we get 5 - 2 = 3, which also matches the y-coordinate of C'. So, this again works.
Therefore, we know that the transformation is a translation 5 units left and 2 units down, or C.
A picture will be shown below of a graph with the points in the table.
We only need to use (5, 2) and (0, 0) to solve this problem.
We take both points and see what it took for the old point to get to where the new point is (Shown in picture below).
Therefore, the answer is [ C. Translation 5 units left and 2 units down ]
Best of Luck!