Answer:
4 and 3/2
Step-by-step explanation:
[tex]x = 4 [/tex]
[tex]2x = 3 \\ x = \frac{3}{2} [/tex]
How is this problem solved
work out the angle of x please answer ASAP!!
Given:
The figure of a pentagon.
To find:
The value of the x.
Solution:
We know that, the sum of all interior angles of a pentagon is 540 degrees. So,
[tex](5x-25)+(6x+25)+(6x-3)+(9x)+(7x+15)=540[/tex]
[tex](5x+6x+6x+9x+7x)+(-25+25-3+15)=540[/tex]
[tex]33x+12=540[/tex]
Subtract both sides by 12.
[tex]33x+12-12=540-12[/tex]
[tex]33x=528[/tex]
Divide both sides by 33.
[tex]x=\dfrac{528}{33}[/tex]
[tex]x=16[/tex]
Therefore, the value of the x is 16.
Write the following:
a) 16 as a fraction of 152
b) 15 as a fraction of 210
Answer:
[tex]\frac{16}{152}[/tex]
[tex]\frac{15}{210}[/tex]
Step-by-step explanation:
Simplify the expression:
6(h + 6) + 1
Answer:
This is your answer
Answer:
6h + 37
Step-by-step explanation:
=> 6(h + 6) + 1
=> 6h + 36 + 1
=> 6h + 37...ans
HOPE IT HELPS U!!!!What is the percent of change from 50,000 to 80,000?
Answer:
Percentage Calculator: What is the percentage increase/decrease from 50000 to 80000? = 60
Step-by-step explanation:
ABC = EDF. Determine the value of x.
Answer:
The correct answer here is A. x = 17.
How I found this out:
3x + 3 and 5x - 7 are going to be different solutions in the end.
I did the process of elimination.
First, I subsituted, 17 for x. 3 X 17 + 3 = 54. 5 X 17 - 7 = 78.
I then took 180 - 54 - 48 = 78 and 180 - 78 - 48 = 54, just to make sure they are positive numbers and not negative.
Since they work out, I chose this as my correct answer to your question.
Step-by-step explanation:
Hope this helps! :)
I tried my best so I'm it's wrong.
Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to if she rolls the two number cubes times?
According to a human modeling project, the distribution of foot lengths of 16- to 17-year-old boys is approximately Normal with a mean of 25.5 centimeters and a standard deviation of 1.4 centimeters. Suppose a shoe store stocks shoes in men's sizes 7 through 12. These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this store?
Answer:
27.02% of boys aged 16 to 17 will not be able find shoes that fit in this store
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of 25.5 centimeters and a standard deviation of 1.4 centimeters.
This means that [tex]\mu = 25.5, \sigma = 1.4[/tex]
These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this store?
Less than 24.6:
The proportion is the pvalue of Z when X = 24.6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24.6 - 25.5}{1.4}[/tex]
[tex]Z = -0.64[/tex]
[tex]Z = -0.64[/tex] has a pvalue of 0.2611
More than 28.8:
The proportion is 1 subtracted by the pvalue of Z when X = 28.8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28.8 - 25.5}{1.4}[/tex]
[tex]Z = 2.36[/tex]
[tex]Z = 2.36[/tex] has a pvalue of 0.9909
1 - 0.9909 = 0.0091
0.2611 + 0.0091 = 0.2702
0.2702*100% = 27.02%
27.02% of boys aged 16 to 17 will not be able find shoes that fit in this store
A recipe includes 2 cups of flour and 2/3 cups of buttermilk. Write the ratio of the amount of flour to the amount of buttermilk as a fraction in simplest form.
Use the law of sines to find m
Answer: 5.22
Step-by-step explanation:
Given
[tex]\angle A=103^{\circ}[/tex]
Sine law is [tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\\[/tex]
Here, a=8, c=5
Putting values
[tex]\Rightarrow \dfrac{8}{\sin 103}=\dfrac{5}{\sin C}\\\\\Rightarrow \sin C=\dfrac{5}{8}\sin 103^{\circ}=0.6089\\\Rightarrow C=37.51^{\circ}[/tex]
[tex]\Rightarrow \angle B=180^{\circ} -103^{\circ}-37.51^{\circ}\\\Rightarrow \angle B=39.49^{\circ}[/tex]
If b=m, then
[tex]\Rightarrow \dfrac{8}{\sin 103^{\circ}}=\dfrac{m}{\sin 39.49^{\circ}}\\\\\Rightarrow m=\dfrac{\sin 39.49^{\circ}}{\sin 103^{\circ}}\times 8=5.22[/tex]
What is the answer to, 3 divided by 1/4 ? I'm struggling in math and I am trying my best.
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
sorry if this is worng
Hey!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Be sure to answer all 3 and be clear which answer goes to the question. Thanks!
9514 1404 393
Answer:
A) JM = 30
B) x = 11
C) x = 18
Step-by-step explanation:
A) Chords the same distance from the circle center have the same length.
KL = 2×15 = 30 = JM
__
B) Tangents from the same point have the same length.
2x -14 = x -3
x = 11 . . . . . . . . . add 14-x to both sides
__
C) No x is shown. We presume it is the length of the tangent segment. The product of lengths to the near and far circle intercepts is the same for both secants. A tangent is a degenerate secant having both intercepts at the same point.
x² = 12(12 +15) = 324
x = √324
x = 18
9
10
11
12
A rectangular garden is 16 ft
by 30 ft. Victoria wants to
build a fence along the
diagonal of the garden.
How long does the fence
need to be?
13
14
15
16
17
18
30
19
20
16
X
21
22
23
24
Answer:
rectangles opposite sides are equal.
the diagonal of rectangle is hypotenuse of the right angle triangle.
30²+16²=x²
900+256=x²
1156=x²
1156½=x²
34=x
so, the fence need to be 34ft
The area of a circle is 25p ft 2 . What is the circumference of the circle? Explain.
Answer:
Circumference of circle = 31.42 ft.
Step-by-step explanation:
Given the following data;
Area of circle = 25π ft²
To find the circumference of the circle;
First of all, we would determine the value of its radius;
Area of circle =πr²
25π = πr²
r² = 25
Taking the square root of both sides, we have;
r = 5 ft.
Now, to find its circumference;
Circumference of circle = 2πr
Circumference of circle = 2π*5
Circumference of circle = 10π ft.
π = 3.142
10π = 10 * 3.142 = 31.42
Circumference of circle = 31.42 ft.
Can you guys help with this?
Answer:
Step-by-step explanation:
In the figure below, n II g. Find the values of y and x.
Answer:
(4x-15)=77...corresponding angles
4x =77+15
4x =92
x =23
y =180-77
=103
four hundred twenty is 3/5 of what number
700 is the answer to your problem
Can someone please help me?
Answer:
part a =x=a x p
Step-by-step explanation:
maths please help i only have 50 minutes and i have no clue
Step-by-step explanation:
the answer is in the attachment
The scale drawing of a room in a hotel is shown below. If 3 in. = 12 ft, what are the actual dimensions of the room?
15 in.
20 in
A length = 40 feet, width = 39 ft.
B length = 60 feet, width = 45 feet
C length = 75 feet, width = 60 feet
D length = 80 feet, width = 60 feet
Answer:
B length = 60 feet, width = 45 feet
Step-by-step explanation:
If you divide the scale drawing (15 in) by length by the scale of of the same dimension (3 in) and multiply what you get (5) by what the larger scale is (12 ft) you get the answer (60 ft)
Question 2 Mr. Smith is buying two types of gift cards to give as prizes to employees at a company picnic. He will buy restaurant gift cards that each cost S40 and movie theater gift cards that each cost $25 He has $375 to buy a total of 12 gift cards. How many of each type of gift card can Mr. Smith buy?
Answer: He can buy 5 restaurant gift cards and 7 movie gift cards
Step-by-step explanation:
Four friends all give each other presents.
The total cost of the presents is £80.52
Work out the mean cost of a present in pounds (£).
Answer:
20.13
Step-by-step explanation:
Four friends all give each other presents. The total cost of the presents is £80.52.
We need to find the mean cost of a present in pounds.
Mean = sum of observations/total no of observation
[tex]M=\dfrac{80.52}{4}\\\\=20.13[/tex]
So, the mean cost of a present is equal to 20.13 .
How could we find the diameter of a circle with an area of 78.5 in.^ 2 ?? (3.14 is used for )
Answer:
I think it's A AND C. The diameter is just the radius multiplied by 2 at the end of the day.B is just wrong.
Before you make an offer on a home, you should first make sure your mortgage loan application has received a
Preapproval.
A mortgage loan is a loan in which registered property, such as real estate, serves as collateral. If a person borrows money for the purchase of a house, and gives the house as collateral, he is the owner of the property, borrower and mortgagor. The lender, usually a financial institution, is the mortgagee (he acquires the right of mortgage: first right of sale).
When receiving an application for a mortgage loan, the bank performs a series of evaluations of the economy and finances of who applies the loan. Thus, if the bank considers that the individual meets the requirements, it pre-approves the credit, subjecting its final approval to the conditions of the property to be acquired.
Learn more about mortgages in https://brainly.com/question/1318711
Look at the sections between the whole numbers on the number line below. How many equal parts are in each section? What fraction does each part show? Each mark on the number line represents a fraction. What denominator will all the fractions have? Write the missing labels on the number line.
Please answer this correctly without making mistakes
Answer:
i believe that would be 5t-8
Step-by-step explanation:
hopefully this helps :)
have a nice day !!
**please let me know if this was wrong**
You multiply two two-digit numbers and the product is close to 2,600.What two numbers did you multiply?
Step-by-step explanation:
the answer would be 26 and 10 because is you multiply 26×10 your answer will be 2600
Answer:
52 and 50
Step-by-step explanation:
Break it down into smaller numbers in this case 3 numbers.
26 * 10 * 10 = 2600
By multiplicative rule,
we can break 10 into 5 * 2,
giving 26 * 10 * 5 *2,
because multiplication is commutative and associative
group them up as (26 * 2) * (10 * 5) = ( 52 * 50) = 2600
14 b + 9 b – 4 – 12b Help meh pls Xd
Answer:
Simplify the expression.
11 b − 4
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{14b + 9b - 4 - 12b}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\text{(14b + 9b - 12b) + (-4)}\\\\\large\text{(14b + 9b - 12b) = 23b - 12b = \bf{11b}}\\\\\large\text{-4 = \bf{-4}}\\\\\large\text{\bf{= 11b - 4}}\\\\\\\boxed{\boxed{\large\text{Answer: \bf{11b - 4}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Tara is selling a car that costs $12,000. She will make a commission of 10%. What will her
commission be?
Answer:
$1200
Step-by-step explanation:
In the figure, TS = 8, SR = 4, and QR = 2, what is the length of PQ?
Answer:
d. 22
Step-by-step explanation:
(PQ + QR) × QR = (TS + SR) × SR => two secants intersecting theorem
PQ = ?
QR = 2
TS = 8
SR = 4
Plug in the values
(PQ + 2) × 2 = (8 + 4) × 4
2PQ + 4 = 12 × 4
2PQ + 4 = 48
2PQ + 4 - 4 = 48 - 4
2PQ = 44
2PQ/2 = 44/2
PQ = 22