The value of x is 14 units.
Trigonometry valuesWhen handling and dealing with difficulties involving the measurement of length and angles of a right-angled triangle, trigonometric values of ratios such as sine, cos, tan, cosec, cot, and secant come in handy. The trigonometric function is widely used to solve trigonometric issues at 0°, 30°, 45°, 60°, and 90°.
How to determine value of x?We know for angle of 30° the base is 7 and perpendicular is x
then
sin30° = 7/x
[tex]\frac{1}{2} =\frac{7}{x}[/tex]
x = 7
hence, the value of x = 14 units
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Jim has 28 mangoes he gave Tom 8 how many does Jim has
Answer: 20 mangoes.
Step-by-step explanation: This is a simple subtraction problem. If you take away 8 from 28, you'll have 20.
28 - 8 = 20
●10 Kate is reading a 500-page book. The graph below represents the relationship between the
number of hours Kate has spent reading and the number of pages she has read.
Kate’s
rate
0 1
50
2
100
3
150
200
4 5
250
6
300
350
400
450
x
y
Reading Rate
Number of Pa
ges Read
Time (in hours)
(5, 200)
On the grid in your Student Answer Booklet, copy the x-axis, the y-axis, and the line
representing Kate’s reading rate exactly as shown. Be sure to label the line “Kate’s rate.”
"200" (and any subsequent words) was ignored because we limit queries to 32 words
Kate is reading 40 pages per hour.
The whole book takes 12.5 hour to complete.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
From the data we have (5, 200) and (5,0)
then slope= (200-0) / 5
= 40
So, Kate is reading 40 pages per hour.
Now, to read the whole book i.e., 500 pages it takes
= 500/40
= 12.5 hours
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Select the correct answer. 1 -23 1-4 What is the result of the operation 2 O A. 6 -10 -2 -16 4 6 -2 R 5 8 6 _4 Ос. 16 -4 6 4 2 6 -10 2 -16 4 -4 -28
9514 1404 393
Answer:
D
Step-by-step explanation:
Choices A and D agree in all but one term: row 2 column 3 is (-2)(3) = -6. The term with the correct sign is only found in choice D.
A ball is thrown from an initial height of 7 feet with an initial upward velocity of 37 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h=7+37t-16t²
Find all values of t for which the ball's height is 27 feet.
round your answer(s) to the nearest hundredth.
Answer:
t = 0.86 or t = 1.45
Step-by-step explanation:
PLs help quick,Jonna has 5 yards of fabric.She needs 100 inches of fabric to make curtains.Does she have enough fabric to make curtains?
Answer:
Yes, she has 80 more inches
Why?
Because one yard is 36 inches and she has 5 yards and 5x36=180 and she has 100 inches and 180>100.
She has 80 more.
Hope it helps :)
Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2 again again again
Answer:
Step-by-step explanation: i wont tell you the answer but ill thell you how to do it,soo the strat is to count where the line is as a different part then u just add em
example 1:41.6
8-4=4x4=16
8x3.2=25.6
16+25.6=41.6
:)
Answer:
A. 15
B. 25.6
C. 41.6
2(3x + 5) - 4(x - 1)
Simplified form
Answer:
5x+11
Step-by-step explanation:
Hope this helped!!!
Answer:
2x+14
Step-by-step explanation:
hope this helps!
have a great day!!
please help me out on this..............
Answer:
Option #2: 32 ÷2
Step-by-step explanation:
Take Note: There are 2 cups in a pint.
Since we are converting cups TO pints.... the number should (logically) be smaller. That eliminates the last two options.
Referring back to our note, it is only sensible to eliminate the first option since there are only 2 cups per pint, NOT 4.
In the end, you should have gotten option 2 which is 32÷2.
Question 2(3 - 3x) = -18
Answer:
x=4
Step-by-step explanation:
1. Rearrange terms
[tex]2(-3x+3)=-18[/tex]
2. Distribute
[tex]-6x+6=-18[/tex]
3. Subtract 6 from both sides of the equation
[tex]-6x+6-6=-18-6[/tex]
4. Simplify by subtracting the numbers
[tex]-6x + 6-6=-18-6[/tex]
[tex]-6x=-18-6[/tex]
[tex]-6x=-24[/tex]
5. Divide both sides of the equation by the same factor
[tex]\frac{-6x}{-6} = \frac{-24}{-6}[/tex]
6. Simplify
a) Simplify the fraction
[tex]\frac{-6x}{-6} = \frac{-24}{-6}[/tex]
[tex]x = \frac{-24}{-6}[/tex]
b) Divide the numbers
[tex]x=+4[/tex]
7. Remove the postive sign.
[tex]x=4[/tex]
Which is larger 64 inches or 5 feet
Answer:
64 inches
Step-by-step explanation:
There are 12 inches in a foot
12 x 5 is 60
64 is greater then 60
Using complete sentences, explain the key features of the graph of the cosine function. (10 points)
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
what is 1/4 compared to 25%
Answer:
i dunno if this will help any but i think 1/4 and 25% is the same since 100/4=25
Step-by-step explanation:
if it doesn't i'm sorry for waisting ur time-
PLS ANSWER QUICK, HELP AND EXPLAIN
Answer:
136 ft²
Step-by-step explanation:
floor = 7 x 6 = 42 ft²
sides = 2 x 7 x 5 = 70 ft²
ends = 1/2 x 6 x 4 x 2 = 24 ft²
42 + 70 + 24 = 136 ft²
Which expression is equivalent to the expression given below?
-3.5(2 - 1.5n) 14.5n
-7 - 6n
A.
-7 + 0.75n
B.
-7 - 9.75n
c.
-7 – 9.5n
D
Step-by-step explanation:
- 35/10(2-15n/10) 145n/10 - 7 - 6n
-70/10 +35*15n/100.145n/10 -7-6n
-7 + 525n/100.145n/10 -7- 6n
-14 +5.25n .14.5n -6n
-14 +76.125n^2 -6n is final answer
The incomes in a certain large population of college teachers have a normal distribution with a mean $75,000 and standard deviation $10,000. 16 teachers are selected at random from this population to serve on a committee. What is the probability that their average salary is more than $77,500?
Answer:
The probability that their average salary;
standard error
= 10,000/sqrt(16)
=10,000/4
= 2500
(77,500 - 75000)/2500
2,500/2500
= 1
p (z > 1) = .1587
So, the probability that their average salary is more than $77,500 is 0.1587
Step-by-step explanation:
Joe needs to get to his house,which is 106 miles away in 2 hours.How fast does he need to drive
Answer:
53
Step-by-step explanation:
106 miles per hour would get him home in 1 hour but it takes 2 hours so you can divide 106 by 2 to 53 miles per hour.
Hey! I am stuck on this question anyone mind helping me? and tysm for the people who helped me! <3 have a nice day!
Answer: 166 2/3m
Step-by-step explanation:
Area of a rectangle = length times width
Length: 16 2/3
To find the width, multiply it by 3/5.
w = 16 2/3 · 3/5
w = 10
Then, multiply the length by the width.
a = l · w
a = 16 2/3 · 10
a = 166 2/3m
everyday at 9:15 a.m. Jesse takes his dog for a walk for 30 minutes. he then takes the next 2 hours to work on his computer before he eats lunch. what time does he eat lunch?
Answer:
Jesse eats lunch at 11:45 a.m.
Kailynn observed a SpaceX rocket on the launch pad in Cape Canaveral, Florida. The rocket is 230 feet tall, and Kailynn measures the angle of elevation between the base and the top of the rocket to be 5 degrees. How far is she from the base of the rocket?
A-2629feet
B-2639feet
C-20feet
D-231feet
And explain
Answer:
i think B
Step-by-step explanation:
how do you write 16% as a decimal
Answer:
0.16
Step-by-step explanation:
rewrite 16 percent in the terms of per 100 or over 100.
16% = 16 over 100 or,
16% = 16/100
16 over 100 is the same as 16 divided by 100. So completeing the division we get:
16 ÷ 100 = 0.16
Thus, the answer is 0.16
hope this helps you :)
A Customer Telephone Center receives 1,200 calls in a 24-hour period. Of these calls, 75% occur between 9:30 a.m. and 3:30 p.m., and calls are evenly distributed during this time. If each person handles 10 calls an hour, how many people are needed to handle calls during these hours
Divide Total time into two Time Periods. A regular Demand and a High Demand Time Period. Since 75% of the 1,200 calls occur between 9:30 am and 3:30 pm. We multiply .75 x 1,200 to get 900. We get an average of 900 calls every day between the hours of 9:30 am and 3:30 pm – Our net time for this time period is 6 hours.
Therefore, 6 Hours/900 becomes our quotient
Again, since the denominator is larger we invert it to 900 calls/6 Hours
To get a demand of 150 calls per hour.
We need to be able to handle 150 calls per hour.
So how Many Call Representatives are needed?
Again, our historical data tells us that each person can handle 10 calls an hour.
Therefore 150 calls per hour /10 Minutes = 15 Customer Service Representatives are needed during Peak Time!
Now, Subtract the Peak Hours from the 21 Hours Net Time Per day, gives us 15 Non-Peak hours we have to staff.
Use the distributive property to simplify 3 + 5c(2 + 6c) completely.
Answer:
Distributive property says that:
(A + B)*C = A*C + B*C
Now let's try to use it in our expression:
3 + 5*c*(2 + 6*c)
Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:
3 + (5*c)*2 + (5*c)*(6*c)
Now remember that the multiplications are associative and commutative, then we can write this as:
3 + (2*5)*c + (5*6)*(c*c)
3 + 10*c + 30*c^2
And we can't simplify it anymore.
Please help me with this
−3+5+6g=11−3g
-Aster
Answer:
g=1
Step-by-step explanation:
6g+3g=-3g+9+3g, add 3g to both sides and you get closer to the answer
Answer:
g=1
Step-by-step explanation:
solved and got the same answer
Someone please help! I dont understand
Answer:
i willl help on all three if u help on my chemistry problems
a ski resort charges $45 for an All day lived pass and $40 per day for renting boots and a snowboard. At a store, you can buy boots and a snowboard for $360. How many times must you go snowboarding at the ski resort for the cost of buying your own boots and snowboard to be less than renting them?
Solve for x. -4.5 = -0.5(x – 7.1)
Answer:
16.1
Step-by-step explanation:
Answer:
I believe the answer is x = 16.1
Step-by-step explanation:
. A carbon filter is used by a scientist to filter out small particles of soil and rocks
from a water sample taken from a stream. The exponential function f(x) =
500(0.35) * can be used to model the function. Which of the following could be
represented by the value 500 in the function rule?
Answer:
C- The size of the initial water sample, in gallons.
Step-by-step explanation:
What is MEAN ABSOLUTE DEVIATION and how do you find it?
Step-by-step explanation:
Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.
In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be surveyed in order to be 95% confident that your sample mean is within 11 minutes of the population mean? Assume that the standard deviation of the population of monthly time spent on the internet is 202 min. The minimum sample size required is_______computer users. (Round UP to the nearest whole number.)
Answer:
1568
Step-by-step explanation:
The computation of the minimum sample size is shown below:
Given that
Error E = 11
The population standard deviation [tex]\sigma[/tex] =217
Confidence level 1-α = 95%
Now following formula should be used
n > (Zalpha ÷ 2 × sigma ÷ E)^2
As we know that
Zalpha ÷ 2= 1.96
Now the sample size is
n> (1.96 × 202 ÷ 10)^2
= 1568
Which one is the greatest volume
Answer: The First Cylinder has more volume
Step-by-step explanation:
1. V = 471.24
2. V = 282.74