Answers
Answer:
m = 6[tex]\sqrt{3}[/tex] , n = 6
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{m}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2m = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
m = 6[tex]\sqrt{3}[/tex]
and
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{n}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2n = 12 ( divide both sides by 2 )
n = 6
Related Questions
Belinda has 7 pieces of wood. Each piece of wood measures 3/4 yards. How many yards of wood does she have all together?
Answers
Answer:
5.25 or 5 and 1/4
Step-by-step explanation:
7 pieces of wood * 3/4 yards each piece of wood is = 5.25 or 5 and 1/4 which represents the total length of the 7 pieces of wood.
find the distance between M (-1,-1 ) and H (1,-2)
Answers
Answer:
sqrt(5)
Step-by-step explanation:
I hope this helps
Computers depreciate rapidly. If a new computer that costs $1200 loses 40% of its value every year, what is its worth 5 years from now?
Answers
Answer:
$96
Step-by-step explanation:
[tex]f(x)= a(1-r)^x[/tex]
a= initial amount
x= time in years
r= decay rate
[tex]f(x)= 1,200(1-0.4)^5[/tex] ≈
[tex]f(x)= 96[/tex]
5 What is the range of
y = -x?- 2x + 3?
A X54
B X > -4
Cy 54
Dy >-4
Answers
Yes the answer is d
If you are given three lengths of wood at 5 feet, 8 feet and 9 feet to form the perimeter of a triangular garden, what type of triangle will be formed?
Answers
It will form scalene triangle
because it has different measures of sides
that is no equal side
may thishelps you
byr
The measure of c is _____
3 squared 5
9 squared 5
3 squared 13
5 squared 3
Answers
Answer:
3 squared 13 took the test
Step-by-step explanation:
Answer:
3 squared 13
reason:
you should know this if you tooktn notes
1. NASA has computer scientists and engineers working on-site for their programs every
day. On the day described, find how many scientists were working and how many engineers
were working.
---
A.
One day there were 11 total engineers and scientists working. Write an
equation that represents this relationship.
B.
Each engineer is paid $144 per day and each scientist is paid $66 per day. On
the same day as in part A, earnings for scientists and engineers totaled
$1038. Write an equation that represents this relationship.
Answers
Answer:
Step-by-step explanation:
$1038 so if you take $66 multiplied by 7 you get $462. Multiply $144 by the remaining 4 and you get $576. The total will equal $1038. This should all help you put together the right equation because the answers are correct.
I hope this helps!!!
A sandwich shop gives you the choice of 6 meats, 5 types of bread, 3 types of cheese, and 2 types of relish. How many different sandwiches can be made if you pick one choice from each option?
Answers
Answer:
180
Step-by-step explanation:
6(5)(3)(2) = 180
find the length of the unknown side round your answer to the nearest whole number 18 and 4
16.5
17.5
18.5
22.0
Answers
Answer:
17.5
Step-by-step explanation:
90% sure
You were given 10 math problems for homework. You completed 6/10 of them at school. Which equation shows how to find the fraction of the problems you still need to do to complete your homework?
Answers
Answer:
Step-by-step explanation:
1 10
For each pair of points, find the slope of the line that passes through both points. If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler
1. (1, 1) and (7, 5)
2. (1, 1) and (5, 7)
3. (2, 5) and (-1, 2)
4. (2, 5) and (-7, -4)
Answers
a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?
Answers
Step-by-step explanation:
tan3 = 200/x
x = 200/tan3
The question is incomplete. The right question is:
A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?
The distance between the fire and the base of the tower is 3816.2 feet.
What is the concept of height and distances?Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.
How do we solve the given question?We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.
We are asked to find the distance between the fire and the base of the tower.
We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.
We let the distance between the fire and the foot of the tower be x foot.
∠BCA = ∠DAC = 3° (alternate angles).
Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)
In ΔABC,
tan ∠BAC = BC/AB (tan θ = perpendicular/base)
or, tan 87° = x/200
or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).
∴ The distance between the fire and the base of the tower is 3816.2 feet.
Learn more about Heights and Distances at
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Two sides of a parallelogram are 44 feet and 50 feet. The measure of the angle
between these sides is 97º. Find the area of the parallelogram to the nearest square foot.
Answers
Answer:
Step-by-step explanation:
area=base(one side )×h
[tex]\frac{h}{44} =sin 97\\h=44 ~ sin~ 97\\area=50 \times~44~sin~97 \approx 2183.60~sq. ~ft.[/tex]
help with number 4 plz i’ll give brainliest
Answers
Answer:
C
Step-by-step explanation:
the square root of 89 is about 9.4 and, on this graph, 9.4 is at about C
Hope this helps you :)
What type of linear equation is the following?
x + 2y = 200
1) Standard Form
2) Slope-Intercept Form
3) Point-Slope Form
4) Horizontal Form
Answers
can someone please help
find rate of change or slope
a. 1
b. 2
c. 1/2
d. 64
Answers
Answer:
I believe you're right good luck
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer:
x=7
Step-by-step explanation:
a triangles Angel's should add up to 180 all together
So, 71+64=135
180-135= 45
now that you have found the missing angle, you need to find x.
set the equation equal to 45:
8x-11=45
now solve:
8x-11 =45
add 11 to both sides to cancel out the negative 11 and try to get x alone:
8x=56
divide 8x by 8 and 56 by 8 to get x alone:
x=7
Suppose that the delivery times of a nationwide pizza chain are normally distributed with an unknown mean and standard deviation. The delivery times of 26 randomly sampled pizza orders are used to estimate the mean delivery time for the population. What t-score should be used to find the 95% confidence interval for the population mean?
Answers
Answer:
The t-score to be used to find the 95% confidence interval for the population mean is;
[tex]t_{(0.025, \, 25)} = 2.06[/tex]
Step-by-step explanation:
The t-score which is representative of a point with n - k (n, and k represents the sample size and the number of groups in the test respectively) degrees of freedom from the Student's T-distribution is a standard test statistic obtained by applying a T-test
Therefore, the t-score used for a confidence interval is obtained by by making use of the the following information;
The number of degrees of freedom = n - k
The confidence level in the confidence interval
The parameters given in the question are;
The number of pizza orders in the sample, n = The sample size = 26
The number of samples used in the estimate, k = 1 group of 26 randomly sampled pizza
The level of confidence (the probability) that the interval contains the population mean = 95%
Therefore, the significance level, α = 1 - 95% = 1 - 95/100 = 0.05
∴ The α-level for the upper and lower limit of the interval are α/2 = 0.05/2 = 0.025 long
The degrees of freedom, df = n - k
∴ For the estimation, DF = 26 - 1 = 25
The t-statistic is therefore the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column (0.025 two-tail column) which gives;
[tex]t_{(\alpha /2, \, DF)} = t_{(0.025, \, 25)} = 2.06[/tex]
A restaurant worker was told to make every ham sandwich with 2 tomato slices and 3 pickle slices.
Select all the true statements
A. A worker makes 3 ham sandwiches. Taken together, the sandwiches will have a ratio of total number of tomato slices to total number of pickle slices of 6 : 9.
B . For every ham sandwich, the ratio of tomato slices to pickle slices is 3 : 2.
C . A worker makes 5 sandwiches. The ratio of total number of tomato slices to total number of pickle slices is 7 : 8.
D . On every ham sandwich the ratio of tomato slices to pickle slices is 2 : 3.
E. Once a ham sandwich is made, there will be a ratio of 2 tomato slices to 1 ham sandwich.
Answers
Answer:
Its A and D
Step-by-step explanation:
Trust me ;)
find the area of the circle.
Answers
Answer:
78.5 cm^2
Step-by-step explanation:
1, find the radius (half a diameter) R = 5
3.14 * 5^2
3.14 * 25 = 78.5
What is the area of this figure? 2m 4m 8m 9m 5m
Answers
Answer:
is there a picture of the figure?
Step-by-step explanation:
maybe 98 is an answer.
Can some please help me immediately
Answers
Answer:
Step-by-step explanation:
6x+4=52
-4 -4
6x/6=48/6
x=8
Answer:
-4 -4
6x=48
Explanation
what is the solution to the inequality 3x-42>3
Answers
Answer:
x > 15
Step-by-step explanation:
Try to get x on a side by itself...
3x - 42 > 3
3x > 45
x > 15
7th grade math help me pleaseeee
Answers
3(4+n)
Step-by-step explanation:
3(4+n)=12+3n
if the measure of angle 1=105 degrees what is the measure of angle 3
Answers
Step-by-step explanation:
Since it is a parallelogram,
opposite angles are equal, hence,
angle 1 = angle 3 = 105°
Find the value of y that makes the equation y = 8 – 2x true, when x = 3. A. 2 B. 5 C. 6 D. 8
Answers
Answer:
so first you would find out the whole equation after you plug in x and it would be
y=8-6
y=2
so the answer is A. 2
The value of y is 2.
The correct option is (A).
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given equation is: y = 8 – 2x.
So, when x=3
y= 8-2*3
=8-6
= 2.
Hence, the answer is A. 2
Learn more about equation here:
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Pls help me with dis question
Answers
Answer:
3 1/15
Step-by-step explanation:
Product means multiply
Can I pls have a brainliest??
help plz :<<<<<<<<<<<<
Answers
Answer:
can you make the question more clear please
WILL GIVE BRAINLIEST IMMEDIATELY!!!!!!! GIVE EXPLANATION + ANSWER FOR BRAINLIEST
Scalene triangle EFG is reflected to form Δ MNP. Which statement is true?
A. EF≅NP
B. FG≅NP
C. ∠EFG≅∠NMP
D. ∠FGE≅∠NMP
IF YOU PUT RANDOM NONSENSE ANSWERS OR A LINK I WILL REPORT YOU AND EMAIL BRAINLY.
Answers
The correct answer is:
D. ∠FGE≅∠NMP
Explanation:
The symmetric property states that if two quantities are equal (or congruent), you can "flip" them around the equals sign (or congruence sign).
This means since EFG is congruent to HJK, then HJK is congruent to EFG.
Which table represents a linear function? (will give brainliest)
Answers
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]
Linear function :The characteristic property of linear functions is that when the input variable is changed, the change in the output is proportional to the change in the input. Linear functions are related to linear equations.
Step-by-step explanation:
We have
y=mx+c
for 1st
not satisfied.
for
2nd
not satisfied
3rd
3rd satisfied
4th
[note : substitute value of x to get value of y from table]
so
third table represents a linear function.
Answer:
The third option is the answer
Step-by-step explanation:
its like the only one which fits the question