X, Y and Z form the vertices of a triangle with area 59.7cm2. If XZ = 21.5cm and XY = 13.5cm, work out the acute angle ∠YXZ. Round to 1 DP.
Answers
Answer: The acute angle ∠YXZ = 24.3°.
Step-by-step explanation:
If in triangle ABC, C is the angle included between sides a and b then
Area of triangle = [tex]\dfrac12a\cdot b\cdot sin C[/tex]
here, XZ = 21.5cm and XY = 13.5cm are sides that includes acute angle ∠YXZ..
Area of a triangle = 59.7cm²
then, as per given, we have
[tex]59.7=\dfrac12(21.5)(13.5)\ \sin X\\\\\Rightarrow\ 59.7=145.125\ \sin X\\\\\Rightarrow\ \sin X = \dfrac{59.7}{145.125}\\\\\Rightarrow\ \sin X =0.41137\\\\\Rightarrow\ X = \sin ^{-1}(0.41137)\approx24.3^{\circ}[/tex]
Hence, the acute angle ∠YXZ = 24.3°.
Related Questions
Find the value of 9x-5 given that – 2x-3=5.
Simplify your answer as much as possible.
Answers
Answer:
The value of 9x - 5 is -41.
Step-by-step explanation:
-2x - 3 = 5
-2x = 5 + 3
-2x = 8
x = -4
9x - 5
= 9(-4) - 5
= -36 - 5
= -41
make the most childish answer possible and ill give you brainliest
Answers
Answer:
yo mama
Step-by-step explanation:
Answer and Step-by-step explanation:
Find [x]: <--------------- (Childish Answer)
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4 + y = 3x - 5 |
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^---------------
I found x!! ^
#teamtrees #WAP (Water And Plant)
HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
5.5
Step-by-step explanation:
I’ll give brainlist to anyone that can help me
Answers
Answer:
80 ft
Step-by-step explanation:
if 1 = 20 then 20 is width but ? is length
1=20
2=40
3=60
4=80
since 4 in is length then actual length is 80ft
Answer:
80ft
Step-by-step explanation:
hope this helps
A= bh;
A = 28, h = 4
Answers
divide both sides by 4. to leave the variable b alone
Answer: 7=b
2^2/5+ 3^1/10
HELP ASAP
Answers
Answer:
[tex]\sqrt[5]{4}[/tex] + [tex]\sqrt[10]{3}[/tex]
Step-by-step explanation:
We sure can write 2^2/5+ 3^1/10 as [tex]2^{\frac{2}{5} } + 3^{\frac{1}{10} }[/tex]
// use the [tex]a^{\frac{m}{n} } =\sqrt[n]{a^{m} }[/tex] to transform the expression
Convert [tex]2^{\frac{2}{5} }[/tex] to [tex]\sqrt[5]{2^{2} }[/tex] = [tex]\sqrt[5]{4}[/tex] (here a = 2, n = 5, m = 2)
Then convert [tex]3^{\frac{1}{10} }[/tex] to [tex]\sqrt[10]{3^{1} }[/tex] = [tex]\sqrt[10]{3}[/tex] (here a = 3, n = 10, m = 1)
Now we get [tex]2^{\frac{2}{5} } + 3^{\frac{1}{10} }[/tex] = [tex]\sqrt[5]{4}[/tex] + [tex]\sqrt[10]{3}[/tex] . This is the simplified form, which is the answer.
Hi! PLS HELP ITS 30 POINTS!! Thanks!
A soda bottle holds 1.5 liters of soda. How many milliliters does the bottle hold?
15 millimeters
150 millimeters
1,500 millimeters
15,000 millimeters
Pls help!
Imma report u if its something off the topic!
Thanks again!
(its not b i tried it and got it wrong!! )
Answers
Answer:
1,500 millimeters
Step-by-step explanation:
1 litre = 1000 millilitre.
Try 1,500.
Mariana gets $15 per hour working at McDonald's and Jayvon gets $15 per hour as well. Jayvon had $50 in the
bank to start. After how many weeks will Jayvon and Mariana have the same amount of money in their bank
accounts?
Answers
Answer:
What r the options?
Step-by-step explanation:
4. Six numbers are shown.
1.25, -1.5, -0.75,
34,
2 6/8,
5/4
Place each number in its correct location on the number line.
Answers
Step-by-step explanation:
sorry i couldn't solve the last and the last second one
Was it helpful?
comment down
If there is any kind of suspicious mistake
then sorry
can someone please help i promise i’ll mark brainliest!!
Answers
Answer: I’m so sorry I don’t understand it but you should try Photomath it’s a app that helps with math and gives answers to math problems. Another good app is Socratic it looks for answers for any subject.
Step-by-step explanation:
find the tangents of the acute angle in the right triangle. write each answer as a fraction
Answers
Answer:
[tex]tanD=\frac{7}{24}[/tex]
[tex]tanF=\frac{24}{7}[/tex]
Step-by-step explanation:
We are given that
ED=24units
EF=7units
FD=25 units
We have to find the tangents of the acute angle in the right triangle
We know that
tangent=[tex]\frac{Perpendicular\;side}{Base}[/tex]
Using the formula
[tex]tanD=\frac{EF}{ED}[/tex]
[tex]tanD=\frac{7}{24}[/tex]
[tex]tanF=\frac{ED}{EF}[/tex]
[tex]tanF=\frac{24}{7}[/tex]
Factor 60 - 36w to identify the equivalent
expressions.
Answers
Answer:
Step-by-step explanation:
−36w+60
=12(−3w+5)
12(−3w+5)
5 times a number is at least 60.
Please help DUE TODAY
Answers
Answer:
5 times 12 = 60
Step-by-step explanation:
5 times 12 is at least 60
In ΔGHI, g = 790 inches, h = 200 inches and i=820 inches. Find the measure of ∠I to the nearest degree
urgenttttt !!!!
Answers
Answer:
92
Step-by-step explanation:
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
Answers
Answer:
51 meters
Step-by-step explanation:
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?
We are to find the meters of fencing for the diagonal.
We solve the question using Pythagoras Theorem
= c² = a² + b²
Where
c = Diagonal
a = Width
b =Length
Diagonal² = Width² + Length ²
Hence:
Diagonal ² = 45² + 24²
Diagonal = √45² + 24²
Diagonal = √(2601)
Diagonal = 51 m
Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters
math work pls help :)
Answers
Answer:
b. side angle side. hope this helps
Which point is the intersection of RS and VT?
Answers
Answer:
point U
Step-by-step explanation:
I learned this before
Hope this helps
What statement is true for life insurance coverage?
O A. The policy only covers beneficiary's future needs, funeral costs should not be included in the
policy amount
B. Debt is forgiven at death, so insurance policies do not need to cover this cost.
O
C Life insurance policy amounts should factor in how much it would take to maintain the standard
of living for the beneficiaries
D. Generally speaking, $10,000 is the recommended amount for a life insurance policy
Answers
Answer:
C: Life insurance policy amounts should factor in how much it would take to maintain the standard of living for the beneficiaries
Step-by-step explanation:
The statement is true for life insurance coverage
Life insurance policy amounts should factor in how much it would take to maintain the standard of living for the beneficiaries.
What is Life insurance coverage?A contract between an insurance policy holder and an insurance company in which the insurer agrees to pay a quantity of money in exchange for a premium upon the demise of an insured person or after a specific amount of time is known as life insurance.
In order to provide a death benefit in exchange for paying premiums, life insurance functions. One common kind of life insurance, called term life insurance, only lasts for a predetermined period, such 10 or 20 years. Although the death benefit of permanent life insurance likewise lasts during the policyholder's lifetime as long as premiums are paid, it does not.
Thus, the true statement is
Life insurance policy amounts should factor in how much it would take to maintain the standard of living for the beneficiaries.
Learn more about Life insurance coverage here:
https://brainly.com/question/9611644
#SPJ2
can someone explain how to do this
Answers
Answer:
مرحبًا ، سأكون سعيدًا لمساعدتك في حبك في العمل ، وأريد المزيد من التفاصيل ، وسأبذل قصارى جهدي لإرضائك
Step-by-step explanation:
Answer:
I recommend using GeoGebra to graph the coordinates
Step-by-step explanation:
I use that whenever someone asks if certain coordinates make a shape
Here's the link:
http://contentstore.ple.platoweb.com/content/GeoGebra.v5.0/GeoGebra_Activity.html
Find axis of symmetry for – 3x^2 - 4x + 5
Answers
Answer:
x= -2/3
Step-by-step explanation:
CORRECT ANSWER GETS BRANLIEST, IF I SUBMIT MY TEST AND ITS INCORRECT U WILL BE REPORTED <3
Which equation has solutions at (3, 4)?
A. y=5x+2
B. y=2x-1
C. y=5x-2
D. y=2x+1
Answers
Answer:
none of them do
Step-by-step explanation:
i checked with a graphing calculator
If r = .15, this indicates
Answers
Answer:
Then D=.30
Step-by-step explanation:
Diameter is two times the radius
I think this is correct I'm not to sure
hope this helps :)
The town of Passaic had 58,753 people in 1990 and 71,509 people in 2014.
PART A: Find the percent change in population. Explain/Show your
work.
PART B: Was it a percent increase or decrease? Explain how you know.
please help mee
Answers
Answer:
21.71% increase
Step-by-step explanation:
increase = Increase ÷ Original Number × 100
12756/58753*100
0.217112318*100
21.71% increase.
MARK ME BRAINLIEST
joão has 7 apples if he gives joana 3 and matilde 4 how many did he have?
Answers
Complete the sentence.
Answers
Answer:
50 more
Step-by-step explanation:
Answer:
50 more than............
Graph the linear equation y=2.
Answers
Answer:
Here is a picture of how you will graph this equation
Step-by-step explanation:
Hope this Helped
Answer:
Slope= 0 Y-intercept= (0,2)
Step-by-step explanation:
Can you conclude that these triangles are congruent?
Answers
Answer:
yes
Step-by-step explanation:
each side is length by with so you can tell these are congruent
Answer:
Yes
Step-by-step explanation:
The reason is because the marks in all of the angles mean the angles are congruent. If the angles match up (1 mark, 2 marks, 3 marks, etc.) then the triangles are congruent.
can anyone tell me correctly
Answers
[tex]\large\underline\red{\sf \implies Solution :- }[/tex]
1) A figure formed by line segments only is called a polygon .
2) Perimeter of a regular polygon is Number of sides × Measure of each side .
3) Perimeter of a irregular polygon is sum of all sides .
4) Two circles with same centre but different radii is called Concentric circles.
5) Ratio of circumference of circle to its diameter is pie and is named by Greek letter π .
6) Distance around the circle is called circumference.
7) A chord of the circle contains exactly two points on a circle.
8) 1 hectare = 10,000 m²
I hope it helped ツThe table below shows the monthly balances a person had on their credit card over a five-month period.
Month Balance
January -$50
February $25
March -$70
April -$45
May $25
What was the average monthly balance over the five-month period? Enter your answers and your explanations or work in the space provided.
Answers
Answer:
average monthly balance = $43
Step-by-step explanation:
If we have a set of N numbers:
{x₁, x₂, x₃, ..., xₙ}
The mean (or average) is calculated as:
Mean = (x₁ + x₂ + ... + xₙ)/N
In this case, the values on the set are the balances for every month.
Then our set is:
{$50, $25, $70, $45, $25}
This is a set of 5 elements.
Then the average monthly balance is:
average monthly balance = ($50 + $25 + $70 + $45 + $25)/5 = $43
average monthly balance = $43
can u guys plzzzzzzzzzzzz help
Answers
Answer: p =2
Step-by-step explanation: Look at how many people I helped, trust me
