Answer:
[tex] a = \frac{28}{ \sqrt{2} } [/tex]
Step-by-step explanation:
[tex] \sin \: 45 \degree = \frac{a}{28} \\ \\ \frac{1}{ \sqrt{2} } = \frac{a}{28} \\ \\ a = \frac{28}{ \sqrt{2} } [/tex]
The side of "a" of right angled triangle is [tex]\frac{28}{\sqrt{2} }[/tex] .
What is trigonometric ratio?Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios formulas are given below,
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular
According to the question
In right angle Δ
Hypotenuse = 28
Base for ∠45° = b
Perpendicular for ∠45° = a
now , Using trigonometric ratio
sin θ [tex]= \frac{Perpendicular}{Hypotenuse }[/tex]
sin 45° = [tex]= \frac{a}{28}[/tex]
[tex]\frac{1}{\sqrt{2} } = \frac{a}{28}[/tex]
a = [tex]\frac{28}{\sqrt{2} }[/tex]
Hence, side of "a" of right angled triangle is [tex]\frac{28}{\sqrt{2} }[/tex] .
To know more about trigonometric ratio here:
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1) plot the point with coordinates (3,2) label this point A
b) write down the coordinates of the midpoint of BC
please help me I'm really behind
Answer:
50.24
Step-by-step explanation:
4 = radius
To get the diameter you need to multiply the radius by two 4 x 4 = 16 use 3.14 = 3.14 x 16 = 50.24 THERE IS THE ANSWER!!!!
Catch up btw
Answer:
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Solve the equation for d.
0.2d+3.14=5.06
What is the value of d that correctly solves the equation?
Enter your answer as a number with one decimal place, like this: 4.2
Do not round your answer.
Answer:
d=9.6
Step-by-step explanation:
0.2d+3.14=5.06
- 3.14
_________________
1.92
0.2d=1.92
1.92/0.2= 9.6
pls help. thank you!!!!
Answer:
where is the question plsss tell
and send me ok
Plsss help
I’ll mark u brainlest plssss helpp
Answer:
x = 93 degrees
Step-by-step explanation:
Answer:
x= 93°
Step-by-step explanation:
the angles are corresponding angles
this means they have the same angle measure.
the bottom one is 93° so that means the other one is 93° as well.
If a=3 and b=7, find the value of
5a
Answer: 15
Step-by-step explanation: All the information you need is a=3
5a is the same as saying 5xa or 5x3, so there you have it- 15
Hope this helps <3
Marsha is buying plants and soil for her garden. The soil cost $4 per
bag, and the plants cost $10 each. She wants to buy at least 5 plants
and can spend no more than $100. Write a system of linear
inequalities to model the situation.
Answer:
p ≥ 5
4s + 10p ≤ 100
Step-by-step explanation:
Here, we want to write a system of inequalities
Let the number of bags of soil be s and the number of plants be p
She wants to buy at least 5 plants
mathematically, when something is at least 5, it means greater than or equal to 5
In inequality, we have this as;
p ≥ 5
Secondly, she wants to spend not more than $100; she can spend less but cannot spend more
We have this as;
The number of bags she can buy at $4 per bag is 4 * s = 4s
the number of plants at $10 per one will be;
10 * p = 10p
Adding both should give a cost less than or equal to 100
We have this as;
4s + 10p ≤ 100
So, we have the system of inequalities as;
p ≥ 5
4s + 10p ≤ 100
What is the equation of a line with a slope of 2 and a y intercept of -5?
Answer:
y=2x-5
Step-by-step explanation:
The slope is how you move so you could also call it m
The y intercept is where you begin so you could call it b
So every time you need to find the equation or which one is like the slope just remember m=move b= begin
y=mx+b
You can buy 3 CDs for $36.00. Assuming these rates are proportional, what would be the cost of 5 CDs?
Answer:
$60
Step-by-step explanation:
36 / 3 = $12 for a single CD
12 * 5 = $60 for 5 CDs
Can anyone help me with this problem?
True or False: {5, 6, 7...10) is an example of an infinite set.
Calculate the surface area.
Thank you for the help
i will mark brainiest
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Answer: 659.7 yd^2
I hope this helped!
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Enter 14% as a fraction in simplest form.
Answer:
0.14 or 7/50
Step-by-step explanation:
The wait time for your local pizzeria to deliver food is normally distributed with µ = 40 minutes and σ = 3.5. What is the probability the next pizza delivery will take over 47 minutes? 2.15% 13.6% 2.28% 4.56%
Answer:
2.28%
Step-by-step explanation:
Given that:
µ = 40 minutes ; σ = 3.5.
x = > 47 minutes
Obtain the standardized score, Z
Zscore = (x - μ) / σ
P(x > 47) = (47 - 40) / 3.5
P(x > 47) = 7 / 3.5
P(x > 47) = 2
P(z > 2) = 0.02275
Hence, Probability that next pizza delivery takes over 47 minutes is 0.02275 = 2.275% = 2.28%
Final Answer is: 2.28%
I got it right when I did it! :)
28 people in 4 rooms: 63 people in 9 rooms. Are these ratios proportional?
the ratios are ratio proportional
Joanne paid $28,000 for her new car. In addition, she paid $1,400 in taxes. What was the tax rate Joanne paid on her new car
Answer:
5%
Step-by-step explanation:
1400/28000=0.05
Test
5%*$28,000=$1400
Which statement is true about the purpose of trend lines in scatterplots? A trend line must pass through the largest data point. A trend line must pass through the smallest data point. A trend line can be used to make predictions in real-world situations. A trend line shows the exact data points collected.
Answer:
a trend line can be used to make predictions in real-world situations (the third option)
Explanation:
the first & second options are wrong because it is not a requirement for a trend line to pass through any given data point.
the fourth option is wrong because a trend line shows the general upward/downward trend of the data, and may not necessarily touch all of the data points.
the third option is correct because a trend line helps to roughly estimate the trend (hence the name) of the graph, which allows us to make predictions in real-world situations.
i hope this helps! :D
Answer:
C just took the test edge 2020
Step-by-step explanation:
I'd appreciate any help I can get! :) A gold statue has a diameter of 60 inches and a height of 80 inches. It has a total volume of 320 inches cubed. The replica is proportional to the statue. The replica's height is 100 inches. What is the replica's volume?
Answer:
Volume of replica = 625 cubic inches
Step-by-step explanation:
Height of the gold statue = 80 inches
Volume of the gold statue = 320 cubic inches
Height of the replica = 100 inches
Dimensional scale factor = [tex](\frac{\text{Dimension of the replica}}{\text{Dimension of the original statue}})[/tex]
= [tex]\frac{100}{80}[/tex]
= 1.25
Volume scale factor = [tex]\frac{\text{Volume of replica}}{\text{Volume of original}}[/tex]
Since, volume scale factor = (Dimensional scale factor)³
[tex]\frac{\text{Volume of replica}}{\text{Volume of original}}=(1.25)^3[/tex]
Volume of replica = (1.25)³ × Volume of original statue
= (1.25)³ × 320
= 625 cubic inches
Find the average value of the function y = 2x4 over the interval [- 2,2].
Answer:
ave. val. = -------------- = 0
Step-by-step explanation:
That's y = 2x^4 (the ^ symbol indicates exponentiation).
The average value of a function f(x) over the interval [a, b] is
f(b) - f(a)
ave. val. = ----------------
b - a
Here a = -2, b = 2 and f(x) = 2x^4. Thus, f(a) = 2(-2)^4 = f(b) = 2(2)^4 = 32, and
the average value is:
32 - 32
ave. val. = -------------- = 0
2 - (-2)
The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 135 degrees arc?
Answer:
The answer is 0.235619449 rad m.
What is the value of x?
Answer:
63 degrees
Step-by-step explanation:
I need help asap please
Figure out $27 x 4 = n.
Answer:
$108
Step-by-step explanation:
20x4 = 80
7x 4 = 28
80+28 = 108
You buy a car for $8,000 that depreciates at a rate of 11% a year. How much is the car worth after 5 years?
Can I please get help!!
Just answer the questions please
On a local swim team 6 members each swam 1,685 meters during the season. How many total kilometers did the 6 members swim during the season
Answer:6 members swam 10.11Km during the season
Step-by-step explanation:
Number of members = 6
meters swam by each of the 6 members = 1,685 meters
Total meters swam by the 6 members during the season
= 1,685 meters X 6
=10,110 meters
But 1000m =1km
10,110 m =10.11Km
what do u do when your teacher comments this in a assighnment?."I can't accept this. It is clear that you copied and pasted from the internet. I will give you another chance to do it correctly - using your own thoughts, not the internet." T_T my teacher found out ......:((
Answer:
Deny. Deny. Deny.
Step-by-step explanation:
Say how crazy the similarities are but you genuinely wrote what came to mind and you did not even look up the topic online. If that fails just grovel and come up with a sob story so they are no so harsh. Hope this helps <3
Can someone help me pleaseee. Alguien podría ayudarme porfavor
1.
Solve 17 - x = 1 + 3x
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
1) Add x to both sides.
[tex]17 = 1 + 3x + x[/tex]
2) Simplify 1 + 3x + x to 1 + 4x.
[tex]17 = 1 + 4x[/tex]
3) Subtract 1 from both sides.
[tex]17 - 1 = 4x[/tex]
4) Simplify 17 - 1 to 16.
[tex]16 = 4x[/tex]
5) Divide both sides by 4.
[tex] \frac{16}{4} = x[/tex]
6) Simplify 16/4 to 4.
[tex]4 = x[/tex]
7) Switch sides.
[tex]x = 4[/tex]
Therefor, the answer is x = 4.
Data was collected on the price of a hot dog and a drink at twenty different baseball stadiums. It was found that when
the price of a hotdog was low, the price of a drink was low and that when the price of a hotdog was high, the price of
a drink was high
Which statements are correct?
Answer: the price of a hot dog was low and the drink was low
Step-by-step explanation:hope this helps