The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios
The values of x in the triangles are 21.4 units, 58 degrees and 66 degreesThe angles in the rhombus are 44 and 46 degrees, respectivelyHow to determine the values of x?Triangle 1
The value of x is calculated using the following tangent ratio
tan(25) = 10/x
Make x the subject
x = 10/tan(25)
Evaluate
x = 21.4
Triangle 2
The value of x is calculated using the following tangent ratio
tan(x) = 8/5
Evaluate the quotient
tan(x) = 1.6
Take the arc tan of both sides
x = arctan(1.6)
Evaluate
x = 58
Triangle 3
The value of x is calculated using the following tangent ratio
tan(x) = 0.34/0.15
Evaluate the quotient
tan(x) = 2.27
Take the arc tan of both sides
x = arctan(2.27)
Evaluate
x = 66
How to calculate the angles of the rhombus?The lengths of the diagonals are:
L1 = 2 in
L2 = 5 in
Represent the angles with x and y.
The measures of the angles are calculated using the following tangent ratios
tan(0.5x) = 2/5 and y = 90 - x
Evaluate the quotient
tan(0.5x) = 0.4
Take the arc tan of both sides
0.5x = arctan(0.4)
Evaluate
0.5x = 22
Divide by 0.5
x = 44
Recall that:
y = 90 - x
This gives
y = 90 - 44
Evaluate
y = 46
Hence, the angles in the rhombus are 44 and 46 degrees, respectively
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Need Answers for B,C,D
Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the development of a recreational park on the west side of town. A community action group interested in preserving the environment claims that 45% of the town’s residents favor the development of a recreational park. To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each
with a sample of 200, using the point estimate of the population. The minimum sample proportion from the simulation is 0.46 and the maximum sample proportion is 0.76.
(a) What is the point estimate of the population? Answer is $0.62
(b) The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion?
(c) The margin of error of the population proportion is found using half the range. What is the interval estimate of the true population proportion?
(d) Is the community action group’s claim likely based on either interval estimate of the true population proportion? Explain.
The probability computed shows that the point estimate of the population is 6.2%.
How to calculate the probability?a. The point estimate of the population will be calculated thus:
= 62% = 62/100 = 0.62
b. The margin of error of the population will be:
= z value × [✓0.62 × ✓0.38 / ✓200]
= 1.96 × (0.78 × 0.61 / 14.14)
= 0.0672
Therefore, the interval estimate is 6.72%.
c. The margin of error of the population proportion is found using half the range will be:
= [0.76 - 0.46] /2
= 0.30/2
= 0.15
d. The community action group’s claim is likely based on either interval estimate of the true population proportion since the confidence interval value is greater than 0.45.
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If tan 0 = 8/15, what is sin 0?
PLEASE HELP ASAP!!!
i dont know this
Answer:
Put 4.96 in the second box then solve which the answer is 6.76
Step-by-step explanation:
please help i am confused.
Answer:
12.16 inches.
Step-by-step explanation:
Use pythagoras thereom since they are right angle triangles. A² = c² - b².
For NP triangle:
10² - 4² = 84. square root of 84 is 9.165.
For MN triangle:
5² - 4² = 9. square root of 9 is 3.
finally, add them up:
3 + 9.165 = 12.165, to 2 d.p., it is 12.16 inches.
Dalvin's family took a road trip to Mount Rushmore. Dalvin fell asleep 44% of the way through the trip. If Dalvin fell asleep after they had traveled 176 miles, what was the total length of the trip?
Ignore this I deleted my answer cause I missread the question...
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 7 feet long, and the height of the equilateral triangle is 6.1 feet. The pyramid's slant height is 9 feet. What is its surface area?
Answer:
115.85
Step-by-step explanation:
How many solutions does the equation 5x + 3x − 4 = 10 have? (4 points) Zero One Two Infinitely many
Hey there!
Let's solve this equation.
5x+3x-4=10
add the x's
8x-4=10
add 4 to both sides
8x=10+4
8x=14
divide both sides by 8
x=14/8
Reduce the fraction;
x=7/4 (improper fraction)
x=1+3/4 (mixed number)
Hence, the equation has 1 solution.
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
Answer:
i presume it has
Step-by-step explanation:
only 1 solution.
combine like terms & then solve
Which graph matches the equation y+5 = (x + 4)?
Please hurry
Answer:
Sorry i don’t know the answer
Step-by-step explanation
I don’t know
What is the space between two intersecting lines called?.
Answer:
The space between two intersecting lines is called an:
Angle
An angle is formed when two lines meet at a shared point. They are measured in degrees. There are four important types of angle; acute, right, obtuse, and reflex. A full circle has 360 degrees. If you see an angle of 720 degrees, it means it has rotated twice around a full circle.
360 degrees (one time round) x 2 = 720 degrees (two times round)
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Mount Everest has a height of 8,850 meters above
sea level. A hiker at the peak descends 410 meters,
then climbs down another 370 meters. What is the
hiker's new elevation?
Answer:
8,070 meters
Step-by-step explanation:
First we add :)
410 + 370 = 780
Now we subtract :)
8,850 - 780 = 8070
Have an amazing day!!
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Ms. Tranquille is making a scale drawing of a famous building. In reality, the building is 108 meters tall. In her drawing, the building is
[tex]4\frac{1}{2} [/tex]
inches tall. How wide should the scale drawing be if the actual width is 48 meters?
PLEASE HELP I WILL MARK YOU BRAINIEST
Use: nCk = n!/k! (n-k)!
At a local cafeteria there are ten vegetable selections available. How many three-vegetable plates may be made
Answer:
120
Step-by-step explanation:
The formula [tex]nCk=\frac{n!}{k!(n-k)!}[/tex] describes how many ways [tex]k[/tex] items can be chosen given [tex]n[/tex] total items. In this scenario, [tex]n=10[/tex], and [tex]k=3[/tex], thus:
[tex]\frac{10!}{3!(10-3)!}=120[/tex]
This means that you can make 120 three-vegetable plates
What is the measure of an angle at the centre whose radius is equal to arc length?
Answer:
radian
Step-by-step explanation:
A radian is a unit of angle that is equal to the angle created at the center of a circle whose arc is equal in length to the radius.
Hope it helps!!!Brainliest pls!!!The measure of an angle at the center is 1 radian.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given:
Radius is equal to arc length.
To find the measure of the angle at the center:
We have the formula,
Angle in radian = arc length / radius
Let a be the arc length,
then a be the radius.
Substituting the values,
Angle in radian = a/a
Angle in radian = 1 radian
Therefore, 1 is the measure of an angle at the center.
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Please i need help !!!
Answer:
Jenna is correct.
Step-by-step explanation:
See attached image.
Help me please !!!!!!!
Answer:
25ft/s
Step-by-step explanation:
500ft/20s = 25ft/s
Please help answer this and give explanations. 20+ Points
Answer:
7 pairs of shoes
Step-by-step explanation:
So your equation is P(x) = -6x² + 60x - 126. This is a parabolic function, and it looks like we can factor it.
First, let's factor out -6 from the equation to simplify it. If we divide each part of the equation by -6, that leaves us with -6(x² - 10x + 21).
Now, we can factor the equation further by finding two numbers that add up to -10 and multiply to get 21. We know that both have to be negative numbers since they add up to a negative number and multiply to a positive one. The numbers you get are -3 and -7, making the equation P(x) = -6(x-3)(x-7).
x = 3 or 7. To maximize profit, you should sell 7 pairs of shoes.
Hope this helps! :)
please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
5 times as many should be your answer.
I have a recipe to make 48 cupcakes. The recipe says that I need 8 eggs . I only need to make 12 cupcakes . how many eggs will I need
Answer:
you need 32 eggs
Step-by-step explanation:
48 divided by 12=4
8x4=32
Answer:
2 eggs
Step-by-step explanation:
take the 48 and divide by 12 to get the answer, then take the 8 eggs and divide it by the answer you get to the first part, and you will get the amount of eggs.
what is your favirote subject
Answer:
My favorite subject is Science
Step-by-step explanation:
Because it’s really interesting and the concepts about everything that could and will happen is fascinating
I need help 1 through 13 please and thank you
Answer
Let's get to it!
Step-by-step explanation:
1) There are 15 pounds of chees on that platter. (3+5+3+4=15)
2) The total weight is 32 ounces and 6 pounds.
3) 35 gallons of coffee are brewed per day. (5+5+5+5+5+5+5=35)
4) The cook peeled 50 pounds of potatoes per hour (200 divided by 4)
5) There is a total of 4/8 or 1/2 of an ounce
6) 2/8 ounces of oregano is left.
7) This recipe requires 1 and 1/2 pounds of meat.
(This is all I could do without paper) sorry, hope this helps.
Please help me this question
This is the answer. If this helps you please give brainliest.
Work Shown:
[tex]\frac{2^x \times 3^y}{2^4 \times 3^2} = 6\\\\\frac{2^x \times 3^y}{2^4 \times 3^2} = 2\times3\\\\\frac{2^x \times 3^y}{2^4 \times 3^2} = 2^1\times3^1\\\\2^x \times 3^y = (2^4 \times 3^2)(2^1\times 3^1)\\\\2^x \times 3^y = (2^4\times2^1) (3^2\times 3^1)\\\\2^x \times 3^y = 2^{4+1} \times 3^{2+1}\\\\2^x \times 3^y = 2^{5} \times 3^{3}\\\\[/tex]
The 2^x matches with 2^5, showing that x = 5.
3^y matches with 3^3 to get y = 3
Therefore, x+y = 5+3 = 8
can someone please help me
Answer:
1 - 50
5 - 90
10 - 140
50 - 540
Step-by-step explanation:
The rate of change is 10/1, while the Y-intercept is 40. The equation would be Y=10x+40
Determine the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years from an account paying 4.5% compounded semiannually. round your answer to the nearest cent. a. $938,272.00 b. $941,790.00 c. $535,528.03 d. $547,577.41
The amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.
The total amount to be withdrawn in a year = 15265*2 = $30530
The total amount to be withdrawn in 35 years =$1068550
What is the compound interest?Compound interest is interest on interest along with interest on the principle.
Annual Rate of interest = 4.5%
Semi-annual rate of interest r=2.25%
Amount A= $1068550
[tex]1068550 =P(1+\frac{2.25}{100})^70[/tex]
[tex]P = $225093.358[/tex]
Therefore, the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.
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5. A rectangle has an area of 16 cm². Do you know its length?
Answer:
144 [tex]cm^2[/tex]
Step-by-step explanation:
Answer:the answer were to your question is 4
Step-by-step explanation:
Put me on brainlyiest pls
Find the height of a tree of angle of elevation of its top changes from 25 degree to 50 degree as the observer advance 15m towards its base
please help me fast
Answer:
11.5 m
Step-by-step explanation:
The problem can be solved using a trig relation that relates the side opposite the angle to the side adjacent to the angle. That relation is ...
Tan = Opposite/Adjacent
The lengths of the adjacent sides of the triangle can be found by rearranging this formula:
Adjacent = Opposite/Tan
__
The "opposite" side of the triangle is the height of the tree, which we can represent using h. The problem statement tells us of a relation between adjacent side lengths and angles:
h/tan(25°) -h/tan(50°) = 15 . . . . . moving 15 meters changes the angle
h(1/tan(25°) -1/tan(50°)) = 15
h = 15·tan(25°)·tan(50°)/(tan(50°) -tan(25°)) = 15(0.55572/0.72545)
h ≈ 11.4907 . . . . meters
The height of the tree is about 11.5 meters.
How do you write 5.0 × 105 in standard form?
Answer:
I'm not sure if you mean 5 x 105 which = 525. Or 5 x 10^5 which = 500,000
Step-by-step explanation:
The answer to the first one. is easy, you just have to multiply it first. The second one is pretty simple too. You would have move or shift the decimal point 5 times to the right.
PLEASE HELP! DUE TODAY! TY!
Use the diagram to find measure of Arc HJ.
Work:
(HJ) =
Answer: 44 degrees
Step-by-step explanation:
Fill in the table using this function rule
y=5+4x
This is the FORTH time I’ve posted this question PLEASE answer IT
20 POINTSSSSS
Answer:
-6,-1,4,9,14
Step-by-step explanation:
Just replace x in the equation with parenthsis and inside of them put the x value and solve as normal. From top down the answer is -6, -1, 4, 9, 14
oml please don’t say anything that doesn’t help,
do any of you know what 1 3/4 + 1/6 + ____= 7 1/2 is and can you tell me how you got it
Answer:
first convert mixed fraction to improper fraction then solve by taking LCM
hope the above process helps
Answer:
5 7/12
Step-by-step explanation:
1/6 can be converted to 2/12
1 3/4 can be converted to 1 9/12
Add them together, you'll get 1 11/12
7 1/2 is equal to 7 6/12
7 6/12 - 1 11/12 = 5 7/12
5 /12 is your answer
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When dividing fractions that are represented in the same terms, their quotient is simply the quotient of their numerators. Write an equation that demonstrates this.
Answer/Step-by-step explanation:
Quotient is simply the ratio of the first numerator to the second numerator:
Let's [tex]\frac{x_1}{y}\;and\;\frac{x_2}{y}[/tex] are two fractions in same terms.
Thus, [tex]\frac{x_1}{y}\div\frac{x_2}{y}[/tex] {Divided by a fraction is equal to multiplied by its reciprocal}
=[tex]\frac{x_1}{y}\times\frac{y}{x_2}[/tex]
Quotient is simply the quotient of their numerators.
Example could be:
[tex]\frac{2}{7}\div\frac{3}{7}[/tex]
[tex]\frac{2}{7}\times\frac{7}3}[/tex]
[tex]\frac{2}{3}[/tex]
2 is first numerator and 3 is the second numerator.
~lenvy~