Answer:
200
Step-by-step explanation:
First we need to find the decimal version of 40%
to do this we can move the decimal point 2 spaces to the left.
40% ---> 0.40
then we can multiply by 500
This is equal to 200
Answer: 200
Step-by-step explanation: 40%=.40
500•.4=200
The ratio of girls to boys in a boarding school is 2:7,if there are 1251 student in the school, how many of the student are girls
278 students are girls in this case.
Find the area of the triangle. around intermediate values to the nearest tenth. Use rounded values to calculate the next value. Found your final answer to the nearest tenth
The area of the triangle is 97.07 units².
Given is a triangle we need to find the area,
So, let the triangle be ABC and the altitude be AD.
Using the trigonometric ratios,
Sin 52° = AB / AD
Sin 52° = 9 / AD
AD = 9 / Sin 52°
AD = 11.42
Now,
Tan 26° = DC / AD
Tan 26° = DC / 11.42
DC = 5.56
Also,
Cos 26° = AD / AC
Cos 26° = 11.42 / AC
AC = 12.7
BC = 11.42 + 5.56
BC ≈ 17
Now, the sides are BC = 17, AC = 12.7 and AB = 9,
The area of the triangle = 1/2 x BC x AD = 1/2 x 17 x 11.42
= 5.71 x 17
= 97.07
Hence the area of the triangle is 97.07 units².
Learn more about area of a triangle click;
https://brainly.com/question/27683633
#SPJ1
Solve for x, and angle c
9514 1404 393
Answer:
x = 12.75
∠C = 51.75°
Step-by-step explanation:
The two marked angles are complementary, so ...
(5x -12) +(3x) = 90
8x = 102
x = 102/8
x = 12.75
__
C = (5x -12)° = (5(12.75) -12)°
∠C = 51.75°
__
Check
E = 3x = 38.25, then C+E = 51.75 +38.25 = 90 . . . . as it should
find x, y, and z do not include degrees
Answer:
x is 64 , y is18 and z is 98
Step-by-step explanation:
these angles are congruent and u get z by adding 64 and 18 then subtracting it for 180 since it makes a straight line
Factor the expression
10x + 25
A. 2(5x + 10)
B. 5(2x + 5)
C. 10(x + 5)
D. 5(2x + 25)
Step-by-step explanation:
The correct answer is ''B. 5(2x + 5)''
I need help with this. So, please help!! You shall receive 40 points.
Answer:
p=6/5
Step-by-step explanation:
p=6/5 or 1.2 or (1 and 1/5)
Steps
Switch sides of equation
Divide both sides by 5
Simplify
Add 2 to both sides
A set of 10 cards consists of five red cards and five black cards. The cards are shuffled thoroughly, and I choose one at random, observe its color, and replace it in the set. The cards are thoroughly reshuffled, and I again choose a card at random, observe its color, and replace it in the set. This is done a total of four times. Let X be the number of red cards observed in these four trials. The mean of X is:
Answer:
The mean of X is 2
Step-by-step explanation:
Given the data in the question;
set of 10 cards consist of 5 red card and 5 blacks
cards are chosen, replaced and shuffled four times;
number of independent trials n = 4
now, since its is replaced, the probability of getting a red card in each trial will be;
p = 5/10 = 0.5
let X rep the number of red cards observed in the four trials.
the random variable follows binomial distribution where
n = 4 and p = 0.5
so
E(X) = ∑xP( X = x )
E(X) = np
we substitute
E(X) = 4 × 0.5
E(X) = 2
Therefore, The mean of X is 2
32 ÷ 24 plese help me
Answer: 1.333
Step-by-step explanation:
Answer:
1.33
Step-by-step explanation:
nothing much to explain
A triangle has side lengths of 6,9, and 17. Is this possible or impossible
Answer:
impossible
Step-by-step explanation:
the formula for triangle sides is a^2 + b^2 = c^2
and these numbers dont equal that
Which of the following will NOT produce a triangle?
a
angle measures of 47°, 58°, 75°
b
angle measures of 61°, 61°, 58°
c
side lengths of 5.5 ft, 11 ft, and 5.5 ft
d
side lengths of 5 in, 7 in, and 8 in
Answer:
c) side lengths 0f 5.5 ft, 11 ft, and 5.5 ft
Step-by-step explanation:
The two shorter side lengths added together must exceed the longer side length (and equal to does not work)
Answer:
C) 5.5ft, 11ft, 5.5ft
Step-by-step explanation:
A) 47+58+75 = 180 (Correct)
B) 61+61+58 = 180 (Correct)
C) 5.5+5.5>11 - 11>11 (Incorrect- the two smaller sides must be greater than the largest sides when added together)
D) 5+7>8(Correct)
1. Verizon Wireless would like to estimate the proportion of households that use cell phones for their phone service without a land line. A random sample of 150 households was selected and 48 relied strictly on cell phones for their service. Based on the sample, construct a 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone service.
Answer:
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A random sample of 150 households was selected and 48 relied strictly on cell phones for their service.
This means that [tex]n = 150, \pi = \frac{48}{150} = 0.32[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.2453[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.3947[/tex]
The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).
11) A fitness center charges $5per visit, plus an additional monthly fee of $15.
If Rick visits the gym 15 times in a month, how much would it cost him?
If you can do both that would be great
Answer:
$90
Step-by-step explanation:
15 × 5 = 75
75 + 15 = 90
$90
Answer:
It would cost Rick $90, if he visted the Gym 15 times in a month.
Step-by-step explanation:
15 x 5 =75
75 + 15 =90
PLZZZ HELP!!! ASAP
Will mark brainiest :)))
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
this is only the explanation how to do it with you want the answer ask in the comment section
Step-by-step explanation:
Answer:
4. 1230
Step-by-step explanation:
A rectangle has parallel sides, so we know two sides are 30. 30+30=60. We subtract 142-60=82. Then we divide by two: 82/2=41. Then you know that both sides are 41 and 30. Multiply, and you get 1230.
Long before iPhones that hold thousands of songs and play
them with superb audio quality, individual songs were
delivered on 75-rpm and 45-rpm circular records. A 45-
rpm record has an angular speed of 45 revolutions per
minute. Find the linear speed, in inches per minute, at the
point where the needle is 1.5 inches from the record's
center.
Answer:
Do you mean an MP3 player?
Step-by-step explanation:
The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below:
Step 1: 3(3y − 8) = 10 + 3y
Step 2: 6y − 5 = 10 + 3y
Step 3: 3y − 5 = 10
Step 4: 3y = 15
Step 5: y = 5
In which step did the student first make an error and what is the correct step?
Step 2: 9y − 24 = 10 + 3y
Step 2: 6y + 11 = 10 + 4y
Step 3: 6y − 8 = 3(6 + y)
Step 3: 3(3y − 8) = 7 + y
Need the answer to x and y !
x = 2 y = 7
Step-by-step explanation:
the explan at the pic
Leo made the following container to store his camping gear. This container is the shape of a rectangular prism. It has material covering the outside of all six sides.
Answer:
I know this is probably late but the answer is 52 ft
Step-by-step explanation:
I did the Unit Test
Help me out
Answer required
Answer:
a) True
b) False
c) True
d) False
e) True
f) False
g) True
h) False
i) True
j) False
plz mark me as brainliest
Jeff has a square piece of art paper. He cuts across it from one corner to the opposite corner to make two pieces. What is the total number of sides and angles in both of the new shapes?
Answer:
The number of sides is 3 on each piece of paper, altogether there are 6 sides.
The total number of angles on a triangle is 180°, altogether the sum of both triangles is 360°
Which of the following equations have a solution of y = 8
Answer:
B
Step-by-step explanation:
Plug in 8 for y in each equation to see if it's true
6+5(8)=46
6+40=46 ✔️
What is 6 divided by 2 ( 1+2 ) = ?
ANSWER;
6/ 2(1+2)
= 6/ 2(3)
= 6/ 2X3
= 6/6
= 1
Answer:
6 ÷ 2 [1 + 2]
= 6 ÷ 2 + 4
= 6 ÷ 6
= 1
What is the constant?
whoever gets this correct first gets brainlest
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 140°, what is the
measure of ZQRS?
MZQRS = [?]
Answer:
m<QRS = 40
Step-by-step explanation:
180 - 140 = 40
The measure of angle m∠QRS which is supplementary to m∠ABC is determined as 40⁰.
What is a supplementary angle?A supplementary angle is a pair of angles that add up to 180 degrees.
That is to say, if we have two angles and their measures sum up to 180 degrees, then they are supplementary angles. Each angle in a supplementary pair is called the "supplement" of the other angle.
The measure of angle QRS is calculated by applying the following formula as follows;
m∠QRS + m∠ABC = 180 (supplementary angles add up to 180)
m∠QRS + 140 = 180
m∠QRS = 180 - 140
m∠QRS = 40⁰
Thus, the measure of angle m∠QRS which is supplementary to m∠ABC is determined as 40⁰.
Learn more about supplementary angles here: https://brainly.com/question/12919120
#SPJ2
There are 16 ounces in 1 pound. Juan is mailing a package that weights 10 pounds. He wants to know the weight of the package in ounces.
Complete the sentence.''
Answer:
160 ounces
Step-by-step explanation:
Easy mental math.
16oz × 10 pounds = 160 oz
please learn your school work. I know it's boring, but this is actually stuff you'll use in the real world. this is simple 4th-6th grade work. :)
A graph of f(x)=10x^2-11x-6 is shown on the coordinate grid.
What are the zeros of f(x)?
-2/5 and 3/2
-6
-9 and 4
11/20 and -9
Answer:
-2/5 and 3/2
Step-by-step explanation:
f(x)=10x²-11x-6
0=10x²-11x-6
(5x+2)(2x-3)=0
5x+2=0, 2x-3=0
5x=-2, 2x=3
x=-2/5, x=3/2
Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000. What was the return on his $675,000 investment? (Negative amount should be indicated by a minus sign. Enter your answer as a percent rounded to 2 decimal places.)
The return on his $675,000 investment is 3.57%.
Given that, Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000.
We need to find the what was the return on his $675,000 investment.
What is the return on investment?Return on investment or return on costs is a ratio between net income and investment.
Now, return=700,000-675,000=$25000
Return in percentage=25000/700000×100=3.571%
=3.57%
Therefore, the return on his $675,000 investment is 3.57%.
To learn more about return on investment visit:
https://brainly.com/question/13575981.
#SPJ2
What is the answer for this is it a B C or D
Answer:
AB and CD are parallel lines.
hence answer is D
Good day mate
the length of a rectangle is 3 ft less than twice the width and the area of the rectangle is 65 ft squared find the dimensions.
The dimension of the rectangle is 10 by 6.5
How to determine the dimensions?The given parameters are:
Length, (L) = 2W - 3
Area = 65
The area of a rectangle is:
A = LW
So, we have:
LW = 65
Substitute L =2W - 3
(2W - 3)W = 65
Expand
2W^2 - 3W = 65
Rewrite as:
2W^2 - 3W - 65 = 0
Using a graphing calculator, we have:
W = 6.5
Substitute W = 6.5 in L =2W - 3
L =2 * 6.5 - 3
Evaluate
L =10
Hence, the dimension of the rectangle is 10 by 6.5
Read more about rectangle at:
https://brainly.com/question/24571594
#SPJ1
Naming with the vertex only won't work when there are multiple angles with the same vertex. True or False?