A man who is 2m tall stands on horizontal ground 30m from a tree. The Angel of elevation of the top of the tree from his eyes is 28 . Fine the distance between the men eyes to the top of the tree
Answer:33.95 m
Step-by-step explanation:
Given
The height of the man is 2 m
Distance between man and tree is 30 m
the angle of elevation of the top from the eyes is [tex]28^{\circ}[/tex]
from the figure,
[tex]\Rightarrow \tan 28^{\circ}=\dfrac{h}{30}\\\\\Rightarrow h=30\tan 28^{\circ}=15.91\ m[/tex]
Using Pythagoras we can write
[tex]\Rightarrow AD^2=ED^2+AE^2\\\Rightarrow AD^2=30^2+15.91^2\\\Rightarrow AD=33.95\ m[/tex]
Thus the distance between the men eyes to the top of the tree is 33.95 m
Meals are cooked in a process with two resources. The first resource has a capacity of 28 meals per hour. The capacity of the second resource is 24 meals per hour. The first resource has 9 workers and the second resource has 8 workers. Demand for this process is 31 meals per hour. Wages are $24 per hour. Instruction: Round your answer to four decimal places. What is the cost of direct labor (in $s)? _____________ per unit
Answer:
The cost of direct labor (in $s) is $7.85 per unit.
Step-by-step explanation:
First resource total wages per hour = Number of workers in first resource * Wages per hour = 9 * $24 = $216
Second resource total wages per hour = Number of workers in second resource * Wages per hour = 8 * $24 = $192
Total wages of the process per hour = First resource total wages + Second resource total wages = $216 + $192 = $408
Cost of direct labor per unit = Total wages of the process per hour / (Capacity of first resource + Capacity of second resource) = $408 / (28 + 24) = $7.85
Therefore, the cost of direct labor (in $s) is $7.85 per unit.
132 beads is split into 96 beads and 36 beads. in simplest form , what is the ratio of the split
Answer:
16:6
Step-by-step explanation:
96:36
Highest common factor is 6
divide both sides by 6
16:6
3/4 x 1/5, just double checking for a test
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
3/4 × 1/5 = 3/20Hope it helps you,
Mark me brainliest plz....
Follow me! :)
Simplify.
5a√2+3a√2
16a
8
8a
Answer:
8a[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given
5a[tex]\sqrt{2}[/tex] + 3a[tex]\sqrt{2}[/tex] ← factor out [tex]\sqrt{2}[/tex] from each term
= [tex]\sqrt{2}[/tex] (5a + 3a)
= 8a[tex]\sqrt{2}[/tex]
What is the resulting cross section if the cheesecake was sliced parallel to its points?
Answer:
Rectangle
Step-by-step explanation:
What is the surface area?
Answer:
352.5 cm²
Step-by-step explanation:
Surface area
= (6.5 × 7.5 ÷ 2) × 2 + (7.5 × 13.5) × 3
= 48.75 + 303.75
= 352.5 cm²
5
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a
A shirt costs x dollars. A sale offers a 8%
discount. What expressions can you write to show
the cost, after the discount?
How much would the shirt cost if the original price
was $75?
If 3 inches of rain fell in 5 hours, how much rain fell each hour? *
Answer:
Step-by-step explanation:
you can divide 5 divided by 3 and your answer will be 0.6
1. How many degrees is x
.x
41
82
20.5
o
41
О
10
Answer:
Option (1)
Step-by-step explanation:
By the inscribed angle theorem inside a circle,
"Measure of an inscribed angle is half the measure of the intercepted arc"
[tex]\frac{1}{2}[/tex][m(arc AB)] = m(∠ABC)
m(arc AB) = 2[m(∠ABC)]
x = 2(41°)
x = 82°
Option (1) is the correct option.
PLEASE ANSWER QUICK
The sum of the data values divided by the number of data values is a measure of ______ and is called the _____
FIRST BLANK'S OPTIONS = CENTER/SPREAD
SECOND BLANK'S OPTIONS = MEAN/MEAN ABSOLUTE DEVIATION/MEDIAN/RANGE
Answer:
Center... Mean
Step-by-step explanation:
The mean of a data set is the sum of the values divided by the number of values. The median of a data set is the middle value when the values are written in numerical order.
Two bags of flour have a total weight of 8 3/4 pounds. What could be their individual weight
Answer:
4 3/8 lbs.
..................
There are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The individual weights of the bags of flour must add up to a total weight of 8 3/4 pounds.
We can express 8 3/4 as an improper fraction by multiplying the whole number 8 by the denominator 4 and adding the numerator 3, giving us 35/4.
Therefore, we can set up an equation:
x + y = 8 3/4
where x is the weight of one bag of flour, and y is the weight of the other bag of flour.
We can simplify 8 3/4 to 35/4, so the equation becomes:
x + y = 35/4
We can solve for one variable in terms of the other:
x = 35/4 - y
Now we can substitute this expression for x into the original equation and solve for y:
x + y = 35/4
(35/4 - y) + y = 35/4
35/4 = 35/4
This equation is true for any value of y.
Therefore, there are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.
For example, one bag could weigh 4 pounds and the other could weigh 4 3/4 pounds, or one bag could weigh 3 pounds and the other could weigh 5 3/4 pounds, and so on.
Thus,
There are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
What is the sum of the largest and smallest recorded capacity?
Answer:
A) 3 2/4
Step-by-step explanation:
1+2 2/4= 3 2/4
16
15. The dimensions of a triangle
with base 4 m and height
5 m are multiplied by 3. How
is the area affected?
Answer:
It increases it by 9.
Step-by-step explanation:
Given the following data;
Base = 4m
Height = 5m
Area of triangle = ½*base*height
Area of triangle = ½*4*5
Area of triangle = 2 * 5
Area of triangle = 10 m²
Multiplying the parameters by 3, we have;
Base = 4 * 3 = 12m
Height = 5 * 3 = 15m
To find the area of triangle;
Area of triangle = ½*base*height
Area of triangle = ½*12*15
Area of triangle = 6 * 15
Area of triangle = 90 m²
Therefore, multiplying the dimensions by a factor of 3 increases the area by 9.
the 30% discount on a $49 dollhouse
Answer:
34.30
Step-by-step explanation:
$14.70 is 30% of $49 so
The total would be $34.30 after the discount
But the discount is %14.70
Helpssbwjmeekndhshhsbdh
Imaginary numbers. What is (-i)^5?
Please help and will give brainliest.
Answer:
The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was
Step-by-step explanation:
The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was
can I get help PLEEEEEEEEEEEEEASE
Answer:
what do you need help with? i can try to help you
Step-by-step explanation:
Answer:
Help with what, where is the ?
A poll of 803 adults in the United States found that a majority—60%—said that changes should be made in government surveillance programs. The poll reported a margin of error of 3.5%.
Explain in plain English what we can conclude from this poll.
We can conclude that most American adults want changes in government surveillance programs. But we can't conclude what specific changes in those programs they want (more surveillance? less? it doesn't say.)
Please help quick no Tiny links please plz plz help quick due soon I will give points no Links
Answer:
I think its B but im not sure
Step-by-step explanation:
three times a number,minus 2, is equal to two times the number,plus 7
Answer:
9
Step-by-step explanation:
3x−2=2x+7
Step 1: Subtract 2x from both sides.
3x−2−2x=2x+7−2x
x−2=7
Step 2: Add 2 to both sides.
x−2+2=7+2
Answer:
x=9
Answer:
9
Step-by-step explanation:
3x-2=2x+7
3x-2x-2+2=2x-2x+7+2
x=9
3(9)-2=2(9)+7
27-2=18+7
25=25
PLS HELP I WILL GIVE BRAINLYEST
Answer:
hey
Step-by-step explanation:
pls help me then i help u
In the diagram, R, S, and T are all points of tangency. What is the perimeter of Triangle
XYZ?
Answer:
54 cm
Step-by-step explanation:
Perimeter = TZ + TX + RX + RY + SY + SZ
TZ = 5 cm
TX = 13 cm
RY = 9 cm
RX = TX = 13 cm (tangents drawn from and external point)
SY = RY = 9 cm (tangents drawn from and external point)
SZ = TZ = 5 cm (tangents drawn from and external point)
Plug in the values:
Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm
Solve for x if 26 = x/2
Answer:
x=52
Step-by-step explanation:
The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 65 and standard deviation of 7.7 grams per mililiter. Round all answers to 4 decimal places.
Required:
a. What is the probability that the amount of collagen is greater than 60 grams per.
b. What is the probability that the amount of collagen is less than 90 grams per.
c. What percentage of compounds formed from the extract of this plant fall within 1 standard deviation of the mean?
Answer:
a) 0.2578 = 25.78% probability that the amount of collagen is greater than 60 grams per mililiter.
b) 0.9994 = 99.94% the probability that the amount of collagen is less than 90 grams per mililiter.
c) 68.26% of compounds formed from the extract of this plant fall within 1 standard deviation of the mean
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The collagen amount was found to be normally distributed with a mean of 65 and standard deviation of 7.7 grams per mililiter.
This means that [tex]\mu = 65, \sigma = 7.7[/tex]
a. What is the probability that the amount of collagen is greater than 60 grams per.
This is 1 subtracted by the pvalue of Z when X = 60. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 65}{7.7}[/tex]
[tex]Z = -0.65[/tex]
[tex]Z = -0.65[/tex] has a pvalue of 0.2578
0.2578 = 25.78% probability that the amount of collagen is greater than 60 grams per mililiter.
b. What is the probability that the amount of collagen is less than 90 grams per.
This is the pvalue of Z when X = 90.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{90 - 65}{7.7}[/tex]
[tex]Z = 3.25[/tex]
[tex]Z = 3.25[/tex] has a pvalue of 0.9994
0.9994 = 99.94% the probability that the amount of collagen is less than 90 grams per mililiter.
c. What percentage of compounds formed from the extract of this plant fall within 1 standard deviation of the mean?
Between Z = 1 and Z = -1, so the proportion is the pvalue of Z = 1 subtracted by the pvalue of Z = -1
Z = 1 has a pvalue of 0.8413
Z = -1 has a pvalue of 0.1587
0.8413 - 0.1587 = 0.6826
0.6826*100% = 68.26% of compounds formed from the extract of this plant fall within 1 standard deviation of the mean
Can someone please help me?
I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!
Answer:
Step-by-step explanation:
Volume of a cylinder formula = πr^2h
r (radius) = 5/2 = 2.5
h (height) = 3
Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units
Answer the question
Answer:
I think it's C
Step-by-step explanation:
Hope this helps you
Sine divided by Cosine is equal to Tangent. True or false?
Answer:
True
Step-by-step explanation:
an oil company bores a hole 80m deep estimate the cost of boring if the cost is £30 for drilling the first meter with an increase in cost of £2 per meter for each succeeding meter
Answer: £188
Step-by-step explanation:
Given
The depth of the hole is 80 m
For the first meter, it is £30
After that, it is £2 per meter
after a meter, it is 79 m more
The total cost is C
[tex]\Rightarrow C=30+2\times 79\\\Rightarrow C=30+158=188[/tex]
