Answers
Answer:
y = 25.20 m
Step-by-step explanation:
By applying tangent rule in ΔABC,
tan(25)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{y}{BC}[/tex]
BC = [tex]\frac{y}{\text{tan}(25)}[/tex] --------(1)
Now we apply tangent rule in ΔABD,
tan(15)° = [tex]\frac{y}{BC+CD}[/tex]
tan(15)° = [tex]\frac{y}{BC+40}[/tex]
BC + 40 = [tex]\frac{y}{\text{tan}(15)}[/tex]
BC = [tex]\frac{y}{\text{tan}(15)}[/tex] - 40 -------(2)
From equation (1) and (2),
[tex]\frac{y}{\text{tan}(25)}=\frac{y}{\text{tan}(25)}-40[/tex]
[tex]\frac{y}{\text{tan}(25)}-\frac{y}{\text{tan}(25)}=-40[/tex]
[tex]y[\frac{1}{\text{tan}(25)}-\frac{1}{\text{tan}(25)}]=-40[/tex]
y(2.1445 - 3.7321) = -40
1.5876y = 40
y = 25.1953
y ≈ 25.20 m
Therefore, measure of y is 25.20 m.
Related Questions
suppose 70% of the 500 orders at a fast food restaurant include a drink what is the percentage as a part to whole ratio as well as a part to part ratio simplify each ratio
Answers
Answer:
140
Step-by-step explanation:
6 times the dierence of d and 5
Answers
Answer:
6(d - 5)
Step-by-step explanation:
The difference of d and 5 represents (d - 5)
Multiply that by 6 to get 6(d - 5)
the area of a square is 144 square centimeters. What is the length of one side of the square? pls help its on khan
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12cm
have an amazing day <3
It’s lines please help me
Answers
Answer: maybe line C, i dont know
Step-by-step explanation:
If a1=10 and an An-1 + 4 then find the value of
05.
Answers
Answer:
26
Step-by-step explanation:
Just put n = 5 and substitute
Then a5 = a4 + 4 = a3 + 8 = a2 + 12 = a1 + 16 = 26
Find the distance between points l and m then find the distance between points l and n which distance is greater howmuch
Answers
Answer:
Following are the responses to the given question.
Step-by-step explanation:
In this question, the points values are missing which is why its solution can be defined as follows:
Let
[tex]l= (7,-1) \\\\m=(-2, 4)\\\\n =(6,5)\\\\[/tex]
Formula:
[tex]d=\sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}[/tex]
For d1:
[tex]x_1=7, y_1=-1, x_2=-2, y_2=4\\\\[/tex]
[tex]d=\sqrt{((-2-7)^2+(4+1)^2)}[/tex]
[tex]=\sqrt{((-2-7)^2+(4+1)^2)}\\\\=\sqrt{((-9)^2+(5)^2)}\\\\=\sqrt{(81+25)}\\\\=\sqrt{(106)}\\\\=10.29[/tex]
For d2:
[tex]x_1=7, y_1=-1, x_2=6, y_2=5\\\\[/tex]
[tex]d=\sqrt{((6-7)^2+(5+1)^2)}[/tex]
[tex]=\sqrt{((-1)^2+(6)^2)}\\\\=\sqrt{(1+36)}\\\\=\sqrt{(37)}\\\\=6.08[/tex]
The first distance value is greater than the second distance value.
I need help asap !!!!
Answers
Answer:
C
Step-by-step explanation:
Pythagorean theorem = a² + b² = c²
Answer:
C.
Step-by-step explanation:
Pythagrean Theorem is on C
pls help me first of all how do you add a photo?
Answers
Answer:
there should be a "paper clip" sign
Step-by-step explanation:
then go to it click it and pick or take a photo
Scott buys
1260 apples
280 bananas
Write down the ratio of the number of apples that Scott buys to the number of
bananas that he buys.
Give your ratio in its simplest form.
Answers
Answer:
1,260:280
or
1,260 to 280
or
1,260/280 Simplified → 4 1/2
Step-by-step explanation:
Since it asks for apples first put the amount first apples first to the amount of bananas second, since it asks for bananas second.
Для изготовления макета космической ракетыбыло куплено d м алюминевых проводов по цене 150 тг k стеклопластикапо цене 340 тг сколько всего денег изасходовали на изготовления космической ракеты
Answers
Answer:
I do not understand ummmm
since the triangle is
a.right
b.isosceles
c.equilateral
Answers
Step-by-step explanation:
plz write full question
Answer:
I need a more information
Step-by-step explanation:
5k(k-9)=0 solve for k
Answers
Step-by-step explanation:
5k²-45= 0
5k²= 0 +45
k²= 45/5
k²= 9
or
k = 9/2 = 4.5
A group of children bought 3 presents that cost $W each and a card that cost $200. The children shared the total cost equally. Express the amount of money each student paid in terms of W
Answers
Answer:
Amount of money paid by each student is equal to [tex]\$3W+\$200[/tex]
Step-by-step explanation:
Given: A group of children bought [tex]3[/tex] presents that cost [tex]\$W[/tex] each and a card that cost [tex]\$200[/tex].
To find: amount of money each student paid in terms of [tex]W[/tex]
Solution:
Cost of each present [tex]=\$W[/tex]
Cost of [tex]3[/tex] presents [tex]=\$3W[/tex]
Cost of a card [tex]=\$200[/tex]
Therefore,
Amount of money paid by each student in terms of [tex]W[/tex] = Cost of [tex]3[/tex] presents + Cost of a card
[tex]=\$3W+\$200[/tex]
Cindy feeds her dog 1/3 pound of food each day after 6 day,how many pounds of food has she given to her dog?
Answers
Answer: 2 pounds
Step-by-step explanation: if each day the dog gets 1/3 pounds, then after two days the dog would get 2/3 pounds. 3 days would be 1 pound, so after 6 days that would be 2 pounds.
Which of the following cannot be solved using nPr?
permutations of the letters of the word "OF"
permutations of the letters of the word "PERMUTATION"
permutations of the letters of the word "THINGS"
permutations of the letters of the word "N"
Answers
Answer:
permutations of the letters of the word "PERMUTATION"
Step-by-step explanation:
The number of permutations of the letters of the word "PERMUTATION" cannot be solved using nPr. The correct answer is B.
What is the permutation?The permutation is defined as considered an ordered combination.
The following formula computes the permutation of r items from n:
P(n, r) = n! /(n-r)!
here order matters and repetition is not allowed.
Therefore, nPr cannot be used to solve problems that involve repeating items or where order does not matter.
As per the question, the permutations of the letters of the word "OF", "THINGS", and "N" involve distinct letters and no repetition, so they can be solved using nPr.
However, the word "PERMUTATION" has repeated letters.
Therefore, the number of permutations of the letters of the word "PERMUTATION" cannot be solved using nPr because it does not account for repeated items.
Learn more about the permutations here:
https://brainly.com/question/1216161
#SPJ2
HIII PLS HELP
PLS SHOW ME ALL UR WORKINGS THXX
Answers
Answer:
Step-by-step explanation:
(i) y = 3x
m = 3
Slope of the line perpendicular to line (y = 3x) = -1/m = -1/3
Equation of the line through origin : y = mx
[tex]y = \frac{-1}{3}x[/tex]
(ii) Form of the equation of all lines which are perpendicular to y = 3x is
[tex]y = \frac{-1}{3}x +c[/tex]
c is y-intercept
have a good day
Graph the line that represents the equation y=-2/3x + 1
Answers
Answer:
Use desmos graphic calculator
Step-by-step explanation:
The number 652.734 written in expanded form is (6 × 100) + (5 × 10) + (2 × 1) + (7 × 1 10) + (3 × 1 100 ) + (4 × 1 1000). Suppose you want to write the number 473.892 in expanded form. Which statements are correct? Select two that apply. A.7 should be multiplied by 100. B.8 should be multiplied by 1 10. C.3 should be multiplied by 1. D.2 should be multiplied by 1 100.
Answers
Answer:
3 x 1 and 8 x 1/10
Step-by-step explanation:
There were 8,454 pencils that were produced in the factory. When inspecting the pencils they noticed that 1,789 pencils were cracked. How many pencils were they able to use
Answers
Answer: They were able to use 665 pencils
Step-by-step explanation: You would simply do 8,454 - 1,789=665
Give Brainliest please :)
Marco picked answer A for the following problem. Why is that not the correct answer? (NO LINKS)
Answers
Answer:
This is not correct because the organic rice line in Graph A is increasing more than the conventional rice line. This is why the x- and y-labels are important: organic rice in Graph A; you are able to get more pounds for the same amount of weight. If organic rice costs more, you should get less pounds of rice. Graph B shows this relationship because the conventional rice line is higher than the orangic rice line, which indicates that you can get more conventional rice than organic rice at the same price, which is what the question says.
Help needed for some geometry
Answers
Answer:
hope this help you. look it once.
Continent
Number of cars produced
Africa
636 519
Asia/Oceania
45 800 878
Europe
19 726 405
North America
21 136 313
South America
4 288 654
How many more cars were produced in North and South America
than in Europe and Africa?
Answers
Answer:
5062043
Step-by-step explanation:
add the numbers for north and south America, add the numbers for Europe and Africa, and than subtract them. (north America+south America) - (Europe + Africa) = answer
Mr. Mims had 50 bags of chips. He gave away 37 bags. What percent of the bags did he give away?
Answers
Answer:
74%
Step-by-step explanation:
How I did it is divided 37 and 50 (37/50 = 0.74)
A square photo has a side length of 0.17 foot. The photo is enlarged by doubling the dimensions. Then it is enlarged again by tripling the new dimensions.
Answers
Calculate the side length of the enlarged picture
Answer:
Hence, final picture will have a side length of 1.02 foot
Step-by-step explanation:
Side length of square photo, s = 0.17
Original dimension = (0.17 by 0.17)
Enlarged photo = double the original dimension:
2 * (0.17 * 0.17)
(0.34 * 0.34)
Second enlargement = Tripling the new dimension:
3 * (0.34 * 0.34)
(1.02 * 1.02)
Hence, final enlarged dimension = (1.02 * 1.02)
Hence, final picture will have a side length of 1.02 foot
Find measure of angle WZY.
Answers
Answer:
the answer is 4
Step-by-step explanation:
8x-1=5x+11
3x=12
x=4
what number should be added to get 10/77 to get 1 ?
Answers
A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The height is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?
Answers
Answer:
6 cm
Step-by-step explanation:
Volume of a Prism = base area x height =
Base area = length x width = 12 x 2 = 24 cm^2
Volume = 24 x 3 = 72 cm^3
Volume of a pyramid = 1/3( l x w x h)
72 = 1/3( 6x6 x h)
Multiply both sides of the equation by 3
216 = 36 x h
divide both sides by 36
h = 6
The sodium content of a popular sports drink is listed as 220 mg in a 32-oz bottle. Analysis of 10 bottles indicates a sample mean of 228.2 mg with a sample standard deviation of 18.2 mg. (a) State the hypotheses for a two-tailed test of the claimed sodium content. a. H0: μ ≥ 220 vs. H1: μ < 220 b. H0: μ ≤ 220 vs. H1: μ > 220 c. H0: μ = 220 vs. H1: μ ≠ 220 a b c (b) Calculate the t test statistic to test the manufacturer’s claim. (Round your answer to 4 decimal places.) Test statistic (c) At the 5 percent level of significance (α = .05), does the sample contradict the manufacturer’s claim? H0. The sample the manufacturer’s claim. (d-1) Use Excel to find the p-value and compare it to the level of significance. (Round your answer to 4 decimal places.) The p-value is . It is than the significance level of 0.05. (d-2) Did you come to the same conclusion as you did in part (c)? Yes No
Answers
Answer:
Follows are the responses to this question:
Step-by-step explanation:
[tex]H_O: \mu=220\\\\H_a:\mu \neq 220\\\\[/tex]
0.05 degree of significance for two tail tests and n-1= 9 df, critica t= 2.262
When the absolute value of the test statistic |t| >2.262, the decision rule rejects[tex]H_0[/tex].
[tex]\mu=220\\\bar{x}=228.200\\n=10.00\\smaple \ std \ deviation = 18.200\\std\ error \ ' sx= \frac{s}{\sqrt{n}} =5.7553\\test stat t=\frac{(x-\mu) \times \sqrt{n}}{sx}=1.4248\\p value=0.1880\\[/tex]
In point c:
It does not reject[tex]H_0[/tex], because it has the sample that not contradicts the manufacturer's claim
In point d:
For point 1:
The value of p is 0.1880 , that is higher than the 0.05
For point 2:
Yes
Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand.
Answers
Answer:
First one i think is C and the second one is A it was easy
Step-by-step explanation:
Solve the inequality 4x -5 greater than or equal to 7
Answers
to 3.
Explanation: Add 5 on both sides and then after divide 4 on both sides. The sign stays the same.
