Answer:
27, 90 and 63
Step-by-step explanation:
Given
Ratio of triangle sides
[tex]Ratio = 3 : 10 : 7[/tex]
Required:
The length of each side
Triangles in a triangle add up to 180.
The side with ratio 3 is:
[tex]S_1 = \frac{3}{3 + 10 + 7} *180[/tex]
[tex]S_1 = \frac{3 *180}{20}[/tex]
[tex]S_1 = \frac{540}{20}[/tex]
[tex]S_1 = 27[/tex]
The side with ratio 10 is:
[tex]S_2 = \frac{10}{3 + 10 + 7} *180[/tex]
[tex]S_2 = \frac{10 *180}{20}[/tex]
[tex]S_2 = \frac{1800}{20}[/tex]
[tex]S_2 = 90[/tex]
Lastly:
The side with 7 as its ratio
[tex]S_3 = \frac{7}{3 + 10 + 7} *180[/tex]
[tex]S_3 = \frac{7 *180}{20}[/tex]
[tex]S_3 = \frac{1260}{20}[/tex]
[tex]S_3 = 63[/tex]
Hence, the angles are: 27, 90 and 63
He can run 5 miles in 50 minutes what is the unit rate that he runs in one minute ?
Answer:
10 because
5 divide by 10 = 50
Step-by-step explanation:
give brainest or answer my question
do you have a microsoft account if you do the i can invite you in microsoft reward and maybe we can get microsoft 365
Which is the complete factorization of this expression?
-24x + 64
es =))
A)
8(2x - 8)
B)
-8(X + 8)
-8(3x - 8)
D)
-8(3x + 8)
Answer:
-8(3x-8)
Step-by-step explanation:
factor -8 out of -24x+64
Answer:
-8(3x-8)
Step-by-step explanation:
Graph the system of equations:
y = -2x + 5
- 3x + 3y = -12
What would this graph look like? The answer plots at (3,-1) but how would the graph lead up to that point?
Answer:
I posted a picture on the graph and how the two point intercept eachother
Step-by-step explanation:
Hope this Helped
Maths-please help Factorise 3y+15
Answer:
3(y + 5)
Step-by-step explanation:
Factorization is a process which is like the opposite of expansion. It involves factoring out the common factors from the given terms.
Thus to factorize 3y + 15, we have to consider the common factor(s) of the two terms. The common factor is 3 because the two terms (i.e 3y and 15) are both divisible by 3 only.
So that:
3y + 15= 3([tex]\frac{3y}{3}[/tex] + [tex]\frac{15}{3}[/tex])
= 3(y + 5)
The outcome of the process is 3(y + 5).
3- 8 + 4(3x + 3)
+2y
Thanks!!!
Answer:
7+12x+2y
Step-by-step explanation:
3-8+(12x + 12)+2y=
-5+(12x +12)+2y=
7+12x+2y
Answer:
Simplified, your answer should be 12x + 2y + 7
Step-by-step explanation:
Hope this helps! :)
Have a nice day! ♥
ABCD is a cyclic quadrilateral in which AB parallel to CD if angle D is equals to 70 degree find all the remaining angles
Answer:
angle a is 110
angle B is 110
angle C is 70
a 4kg ham cost $13/kg. Find the cost per pound . Round to the nearest hundred
Answer:
The cost per pound of the ham is $5.89.
Step-by-step explanation:
Given that a 4kg ham cost $13/kg, in order to find the cost per pound the following calculation has to be made:
1 kg = 2.20462 pounds
2.20462 = 13
1 = X
((1 x 13) / 2.20462) = X
13 / 2.20462 = X
5.89 = X
Therefore, the cost per pound of the ham is $5.89.
I need help! This is due in 30 minutes!!!
Answer:
Complementary
Step-by-step explanation:
You are correct.
Answer:
Complementary
Step-by-step explanation:
b + a = 90 degrees.
complementary is 2 angles that add up to 90 degrees
18 divided by 89 X 6892 Multiplied by the 16th power to 7813
Answer:
ur dad lololol
Step-by-step explanation:
hehehehehehe
Help due now pleaseee
Answer:
d
Step-by-step explanation:
base² + Altitude² = Hypotenuse²
x² + 9² = 13²
x² + 81 = 169
x² = 169 - 81
x² = 88
x = [tex]\sqrt{88}[/tex]
[tex]x = \sqrt{2*2*2*11}=2\sqrt{2*11}\\\\x=2\sqrt{22}[/tex]
Answer:
option - d
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + b^2 = 13^2
81 +b^2 = 169
b^2 = 169 - 81 = 88
b= [tex]\sqrt{88}[/tex] = [tex]\sqrt{2 x 2 x2 x 11}[/tex] ( take the one doubling out )
[tex]\sqrt[2]{2 x 11 }[/tex] = [tex]\sqrt[2]{22}[/tex]
, 4), perp. to y=-2x - 4
Answer:
+1/2
Step-by-step explanation:
If the slope of the given line is -2, the slope of a line perpendicular to the given line is the negative reciprocal of -2, or +1/2.
the difference of two number one of which is one third of the other is 18 find the number
Answer:
Most of the important things in the world have been accomplished by people who have kept on trying when there seemed to be no hope at all
Step-by-step explanation:
you can do it!!!
Which inequality is represented by the graph? 3 NI 5 6 4 OA. 21 - 5y 3
Answer:
a
Step-by-step explanation:
Given the graphed function below, which of the following ordered pairs are
found on the inverse function?
A. (2, -11),(1,-8),(0,-5),(-1,-2).(-2, 1)
B. (11,-2), (8, -1), (5,0), (2,1),(-1,2)
C. (-11,2).(-8,1),(-5,0),(-2,-1), (1, -2)
D.(-2,-11).(-1,-8),(0,-5), (1, -2), (2, 1)
The option (B) (11, -2), (8, -1), (5, 0), (2, 1), and (-1, 2) is correct because the points will lie exactly lie on the inverse of a function.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of a function shown in the picture.
Let's assume the points (2, 0) and (0, 5) lie on the line which is shown in the graph.
The linear function from these two points:
[tex]\rm y=\dfrac{\left(0-5\right)}{\left(2\right)}\left(x-2\right)[/tex]
[tex]\rm y=\dfrac{\left5\right}{\left2\right}\left(x-2\right)[/tex]
To find the inverse of a function interchange the value of x and y:
The inverse function:
[tex]\rm x=\dfrac{\left5\right}{\left2\right}\left(y-2\right)[/tex]
After plotting the points:
(11, -2), (8, -1), (5, 0), (2, 1), (-1, 2)
The points will lie exactly lie on the inverse of a function.
Thus, the option (B) (11, -2), (8, -1), (5, 0), (2, 1), and (-1, 2) is correct because the points will lie exactly lie on the inverse of a function.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
What is an equation of the line thatpasses through the point (-1,-3) and is parallel to the line 4x-y=2?
Answer:
Explanation:
First, you put the equation into the standard “slope/intercept” form.
4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :
y = 4x - 2
In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.
y = 4x - a (generic)
ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.
We find this by putting our point value into the equation:
3 = 4(-2) + a ; 3 = -8 + a ; a = 11
Thus, our “parallel line equation” through the point (-2,3) is:
y = 4x + 11
Answer:
y = 4x + 1
Step-by-step explanation:
first put the equation 4x-y=2 into the form y = mx + b where m is the slope and b is the y-intercept (for example, y = 2x - 1 would have 2 is the slope and -1 is the y-intercept)
4x - y = 2
subtract 4x from both sides
-y = -4x + 2
multiply both sides by -1
y = 4x - 2
That means the slope of this line is 4.
Parallel lines always have the same slope, so the slope of the new line is also 4. You can again put the new equation into the form y = mx + b. You already know that the slope is 4, so y = 4x + b.
Next, you need to find b. You know that (-1, -3) is a solution, so if you plug x = -1 and y = -3 into the equation, it should be true.
You can put that into the equation to solve for b:
-3 = 4 * -1 + b
-3 = -4 + b
1 = b
This means the equation is y = 4x + 1
22 miles in 12 hour: miles
Answer:
1.67 mph
Step-by-step explanation:
If this helped you please rate this comment, give it a like, and maybe mark it as branliest!
PLEASE HELP ME 20 POINTS + BRAINLIEST
Answer:
48 ft²
Step-by-step explanation:
The question is only asking for the rectangular part, so you would do 12 • 4 = 48.
Let's say a student scored 33 on a math achievement test for which scores are normally distributed with mean
43 and standard deviation 10.
What proportion of students finished worse than her?
Answer:
15.87%
Step-by-step explanation:
We are given;
x¯ = 33
μ = 43
σ = 10
Let's first find the z-score from the formula;
z = (x¯ - μ)/σ
Thus;
z = (33 - 43)/10
z = -10/10
z = -1
From the table attached the p-value at z = -1 is p = 0.15866 ≈ 0.1587 = 15.87%
Thus, proportion of students finished worse than her is 15.87%
Tony invests $3,000 dollars in an account earning 12% interest per year. How long will it take
him to make $3960 dollars in simple interest?
3 years
5 years
8 years
11 years
Answer: 11 years
Step-by-step explanation: 3960 divided 12%= 33,000 divided 3000=11
Answer: it will take 11 years
HELP!!!(will give brainliest)
Answer:
B
Step-by-step explanation:
It is either 33 or 66 inches but I think it is B
Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left.
Select all the equations that represent this situation.
Answer:
24 - X = 10
Step-by-step explanation:
Given that Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left, in order to determine the equation that represents this situation, the following reasoning has to be made:
Since the bottle has 24 ounces of liquid, that is its initial content, from which an amount X is subtracted, after which 10 ounces of water remain. That is, 24 - X = 10.
Thus, this equation is solved in the following way:
24 - X = 10
24 = 10 + X
24 - 10 = X
14 = X
The tolerance limits for a circuit breaker are Amperes. This means that any circuit breaker that breaks at an amperage less than 39.5 breaks at too low a level and any that breaks at an amperage greater than 40.5 breaks at too high a level. If a shipment of circuit breakers possesses break points that are normally distributed with mean 39.3 and standard deviation 0.2, then what percentage of the shipment is defective
Answer:
84.13% of the shipment is defective
Step-by-step explanation:
When the distribution is normal, we use 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.
Normally distributed with mean 39.3 and standard deviation 0.2
This means that [tex]\mu = 39.3, \sigma = 0.2[/tex]
What percentage of the shipment is defective
Less than 39.5 or greater than 40.5.
Less than 39.5:
This is the pvalue of Z when X = 39.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{39.5 - 39.3}{0.2}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413.
Greater than 40.5:
1 subtracted by the pvalue of Z when X = 40.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{40.5 - 39.3}{0.2}[/tex]
[tex]Z = 6[/tex]
[tex]Z = 6[/tex] has a pvalue of 1
1 - 1 = 0
Total:
0.8413 + 0 = 0.8413
84.13% of the shipment is defective
A car dealership increased the price of a certain car by .13% The original price was 38,600.
Answer:
$43,618
Step-by-step explanation:
Find the price of the car after this price increase. Multiplying $38,600 by 1 yields the original price, whereas multiplying it by 0.13 yields the price increase. Thus, we can answer this question by multiplying $38,600 by 1.13:
$38,600*1.13 = $43.618. This is the price for which the dealer sells the car.
Help please! Could you explain it too?
Answer:
a. Not proportional
b. Proportional;
k = ⅞
Step-by-step explanation:
A proportional relationship is usually represented in the format, y = kx. k here represents constant of proportionality. This shows that x and y are directly proportional.
a. y = -2x + 9 is not a proportional equation.
b. y = ⅞x is a proportional equation.
Constant of proportionality: k = ⅞
jannete has 326 pennies, 64 nickles, and 15 dimes. if she has to exchange her coins for dollars how many dollars will she have ? how many cents will remain?
Answer:
She will have 7 dollars, with 96 cents remaining.
Step-by-step explanation:
326 pennies is $3.26
64 nickels is $3.20
15 dimes is $1.50
Add them all;
$3.26 + $3.20 + $1.50 = $7.96
She will have 7 dollars, with 96 cents remaining
The cost of staying in a hotel is given by the formula C=50d+20, where C is the cost in £ and d is the number of days a person stays. Find the cost of staying for:
a) 6 days
b) 2 weeks
c) If the cost is 120 then how many days the person can stay
Answer:
a) £320
b) £720
c) 2 days
Step-by-step explanation:
The question is all about inputting values and finding a result or rearranging and finding a result.
a) d = 6. C = 50(6)+20 = 320
b) d = 2x7 (7 days a week) C = 50(2x7) + 20 = 720
c) C = 120 ... 120 = 50d+20
100 =50d d = 100/50 = 2
Each locker is shaped like a rectangular prism.
One locker has more storage space by how many more cubic inches (in3)?
Answer:
60*12*10-48*12*15=7200-8640=-1440
The red locker has more storage space by 1440 cubic inches.
Step-by-step explanation:
The red locker has more storage space by 1440 cubic inches.
We have given that,
Each locker is shaped like a rectangular prism.
What is the formula for the area of a rectangular prism?
The area of rectangular prism = 2(lb + bh + lh)
One locker has more storage space by how many more cubic inches
=60*12*10-48*12*15
=7200-8640
=-1440
The red locker has more storage space by 1440 cubic inches.
To learn more about the rectangular prism visit:
https://brainly.com/question/24284033
Find the distance between the two points in simplest radical form.
(3, -8) and (-2,-1)
A home owner purchased the following items to repair a door one box of screws priced at $3.75 one tube of caulk priced at $3.99 two pieces of glass priced at $12.50 each what is the total price of dollars and cents The homeowner paid for these items
Answer: $20.24
Step-by-step explanation: add 3.75+3.99+12.50
what is the area of this quadrilateral please help FAST!!!
C, 80 square feet.
Have a nice day!