For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.
1. 9.1
2. 8.2
3. 9.4
4. 7
Answer:
[tex]\boxed{\boxed {\sf 3. \ 9.4}}[/tex]
Step-by-step explanation:
First, recall the three basic right triangle trigonometry ratios.
sin(θ)=opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacentTheta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.
We are also given 2 sides: 10 and x.
10 is the hypotenuse, because it is opposite the right angle. x is opposite the 70 degree angle.Since we have the opposite and hypotenuse, we must use sine.
[tex]sin (\Theta)= \frac{opposite}{hypotenuse}}[/tex]
The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.
[tex]sin(70)=\frac{x}{10}[/tex]
We are solving for x. We must isolate x on one side of the equation.
Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.
[tex]10*sin(70)=\frac{x}{10}*10[/tex]
[tex]10*sin(70)=x[/tex]
[tex]10*0.939692621=x[/tex]
[tex]9.39692621=x[/tex]
Round to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.
[tex]9.4 \approx x[/tex]
x is about 9.4
Answer:
First, recall the three basic right triangle trigonometry ratios.sin(θ)=opposite/hypotenusecos(θ)= adjacent/hypotenusetan(θ)= opposite/adjacentTheta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.We are also given 2 sides: 10 and x.10 is the hypotenuse, because it is opposite the right angle.x is opposite the 70 degree angle.Since we have the opposite and hypotenuse, we must use sine.sin (\Theta)= \frac{opposite}{hypotenuse}}The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.sin(70)=\frac{x}{10}sin(70)= 10x
We are solving for x. We must isolate x on one side of the equation.Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.10*sin(70)=\frac{x}{10}*1010∗sin(70)= 10x
∗1010*sin(70)=x10∗sin(70)=x10*0.939692621=x10∗0.939692621=x9.39692621=x9.39692621=xRound to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.9.4 \approx x9.4≈xx is about 9.4
Find the volume of a right circular cone that has a height of 11.1 in and a base with a
circumference of 17.6 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
V = 0.8 in^3
Step-by-step explanation:
Formula:
V = πr^2(h/3)
C = 2πr
Given:
h=11.1
C = 17.6
C = 2πr
17.6 = 22πr
0.8/π = r
V = πr^2(h/3)
V = π(0.8/π)^2((11.1)/3)
V = π(0.0648455575)(3.7)
V = 0.8 in^3
solve the system of linear equations. 3x+4y= -18 ; y= -4x -11
Answer:
(-2,-3)
Step-by-step explanation:
I save 100 a month to go to Tokyo and rent a hotel
Which costs 1,391 for a flight and 34 for a hotel
What is the constant rate of proportionality?
Answer:
the c.o.p is 14.25
Step-by-step explanation:
What is the greatest common factor of 36, 90 and 108?
Answer:
The one greatest common factor of 36, 90, 108 is 18.
Step-by-step explanation:
Which unit rate is the lowest price per ounce out of 25 ounces of potato chips fo 3.49$ or 45 ounces of potato chips for 4.79$
Answer: choice A : 3.49/25 = 0.139 rounds to 14 cents per oz
choice B ; 4.79/40 = 0.119 rounds to 12 cents per oz. lowest price is choice B
Which statement represents a battery with no cellphone battery life .
1. Jennifer’s iPhone charges 3% and she used 2% of the battery life .
2. Jeff’s iPhone charged 42% and then he charged it another 42%
3. Rianny’s iPhone was charged 80% and she used 80% of the battery life .
4. Megan used 15% of her iPhone’s battery life and then used another 15% of the battery life .
Answers ASAP !!!!!
Answer:
The correct answer is choice 3
Step-by-step explanation:
80 - 80 = 0
bruh
Answer:the answer would be C
Step-by-step explanation:
Solve for x , if x + 47 = -23 .
x =
Answer:
-70
Step-by-step explanation:
subtract 47 from both sides to get
x = -23 - 47
Answer:
Step-by-step explanation:
x + 47=-23
x + 47 - 47=-23 - 47
x=-70
40:10 = 12 :
Equivalent ratio
Joe mowed 1 1/2 lanws
Answer:
3 3/5 lawns
Step-by-step explanation:
First you have to figure out how much of a lawn he mows in 1 hour. He mows 0.6 of a lawn in one hour.
Next, you multiply 0.6 by 6 to get your answer.
Your answer is 3 3/5 lawns.
Answer:
4
Step-by-step explanation:
mean median mode range
Answer:
I think your question is the differences between these terms in mathematical explanation? Well, the median is the middle. You add and divide for the mean. The mode is the one that appears the most. And the range is the difference in between.
Other:
Brainliest? Thanks!
[tex]mean = \frac{sum \: \: of \: \:all \: \: obsevations}{no. \: \: of \: \: observations} [/tex]
[tex]median = middle \: \: most \: \: value[/tex]
[tex]mode = most \: \: occuring \: term[/tex]
[tex]range = highest \: \: observation \: - lowest \: \: observation[/tex]
a race car driver completes 30 laps in 15 minutes at a constant speed.
What's is the driver's speed?
Answer:
2 laps per second.
Step-by-step explanation:
30 divided by 15 equals 2. If you wanted to convert the speed into a more conventional unit you would multiply 2 by the length of a lap.
In how many zeros does 75! end?
3. The Round Rock Express has a pitcher with an impressive winning record. Opposing teams are attempting to analyze his pitches. The pitcher throws a strike 35of the time. If the pitcher throws a strike the next pitch is a fastbal 40% of the time. If the pitcher doesn't throw a strike the next pitch is a fastball 80% of the time.
Answer:
0.66
Step-by-step explanation:
Given:
Let P(Throwing strike) = 0.35
So,
P(S') = 1 - 0.35 = 0.65
P(A / B) = P(A and B) / P(B)
P(Throwing fastball and thrown strike) = P(F / S) = 40% = 0.4
P(Throwing fastball not thrown strike) = P(F / S') = 80%
P(Throwing fastball not thrown strike) =0.8
So,
P(F and S) = 0.8 x 0.65
P(F and S) = 0.52
P(F) = [P(F / S) x P(S)] + [P(F / S') x P(S')]
= (0.4 x 0.35) + (0.8 x 0.65)
= 0.14 + 0.52
= 0.66
Can someone help me with 3 and 4
Answer:
x÷3+10 (if x=15)
15÷3+10
5+10
15
f(x)=2x 5 −13x 4 +22x 3 −187x 2 −160x+336
Answer:
i think 3
Step-by-step explanation:
ZX is perpendicular bisector of WY if WY=24 what is WX
Answer:
12
Step-by-step explanation:
A 4 inch by 6 inch picture is placed in a gram that creates a uniform border of x inches around the picture
Answer:
1.5 inches.
Step-by-step explanation:
A picture measuring 4 inches by 6 inches is placed inside a frame which has equal width around the entire picture.
The area of the frame and the picture is 63 square inches.
i need help.please explain and solve the problem.thank you so much that's 4th grade math
Answer:
7x50=350
Step-by-step explanation:
Can someone help me with number 7
Answer:
1. zach is 20'
2. zack is 13
Step-by-step explanation:
how many milligrams (mg) are
in a levothyroxine 88mcg tablet?
What is the answer for 2 x 4 x 5 x 99 ÷ 3 x 56?
Brainliest for the correct answer!
Answer:
73920
Step-by-step explanation:
pemdas
2*4=8
8*5=40
40*99=3960
3960/3=1320
1320*56=73920
Answer:
73920
Step-by-step explanation:
4 (3u - 1) - 4u = 76*
u=?
Answer: 12u-4-4u=76
Step-by-step explanation: Use distributive property and PEMDAS, that might help.
what is a preimage and image of triangle in a translation
Answer:
translation to what language?
Step-by-step explanation:
9514 1404 393
Explanation:
The preimage is the original triangle, the figure before any transformation is done to it.
The image is the result of applying a transformation to the preimage.
__
When the transformation is translation, the image is congruent to the preimage, but is located in a different place. It is not rotated or reflected if the only transform is translation.
god loves you!!!!!!!!!
Answer:
He loves you too!!
Step-by-step explanation:
If nine inches represent twelve feet, how many inches
represent 48 feet?
Answer:
36 inches
Step-by-step explanation:
4 * 12 = 48
So multiply 9 by 4 also and you get 36.
WILL GIVE BRAINLIEST
just need answer:)
-16.3=w+6.1 first to answer will earn brainiest!
Answer:
w = - 22.4
Step-by-step explanation:
w + 6.1 = -16.3
**subtract 6.1 on both sides to isolate w:
w = -16.3 - 6.1
w = -22.4
Answer:i wont answer it because the other guy is right
Step-by-step explanation:
The high temperatures for two consecutive days were 83°F and 79°F. If the average(mean) high temperaature, including a third day, was greater than 82°F, then what was the high temperature on the third day? Write an inequality representing the problem.
Answer:
83F+79F+X
----------------- >82F
3
Step-by-step explanation:
X is the unknown temp, which is the third day. adding all those up and dividing that by 3 will give you the average. if the average is above 82F, then you just add a > symbol showing that its higher than 82F
The cost of painting a wall that is 5 meters wide and 2 1/2 meters tall is $50. How many square meters can be painted for $1?
please answer asap
Answer: If the a and b of your formula mean how many hours it takes each
person, like a = 2 and b = 1, then the formula gives 3/2 or 1 hour and
30 minutes. This is not reasonable, since one of the painters alone
could do it in 1 hour.
Actually, your formula is UPSIDE DOWN. It should be (a*b)/(a+b).
Here's why.
Let h be the number of hours it takes for the two of them to do it
together. The first person could do it all in a hours, but can paint
only a fraction of the wall working h hours. Assuming a constant rate
of painting, that fraction is h/a. That is, the first painter will
paint h/a of the wall in h hours.
Similarly, the second painter will paint h/b of the wall in that time.
So, when will they be done? When the whole wall is painted, which
happens whenever those 2 fractions add up to 1.
You need to solve the following equation:
(h/a) + (h/b) = 1
h*b + h*a = a*b Multiplying through by a*b
h*(b+a) = a*b Factoring out h
h = (a*b)/(a+b) Dividing both sides by b+a
Okay, now say 3 painters could do it in a hours, b hours or c hours,
respectively. Let h be the number of hours they all must work to get
it all painted. The first painter finishes h/a of the wall in that
amount of time. The other 2 painters manage to paint h/b of the wall
and h/c of the wall in that time. Since h is the time to finish the
job, all 3 of these fractions must add up to the whole wall, or 1.
So you have the equation:
h h h
--- + --- + --- = 1
a b c
Solve this for h (start by multiplying through by a*b*c) and you will
get the generalized formula for 3 painters. It's not the formula you
wrote above but I think you can finish it off.
(I hope this helps. I'm sorry if it's wrong)