In triangle ABC, the measure of angle A is , the measure of angle B is , and the measure of angle C is . What is the combined measure of the three angles?
The combined measure of the three angles in triangle ABC is angle A + angle B + angle C degrees.
Explanation:The combined measure of the three angles in triangle ABC can be found by summing the measures of angle A, angle B, and angle C.
So, the combined measure of the three angles is angle A + angle B + angle C = angle A + angle B + angle C degrees.
For example, if angle A = 40 degrees, angle B = 60 degrees, and angle C = 80 degrees, then the combined measure of the three angles would be:
40 + 60 + 80 = 180 degrees.
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What is 9.27 with a repiton bar over the 27 simplified to as a fraction?
need help with some questions please
Which number is not in scientific notation? 11 ⋅ 1021 5.7 ⋅ 109 3.1 ⋅ 10−12 1.67 ⋅ 10−5
Answer:
11 * 10^21
Step-by-step explanation:
I took the test
what is 21divided by 7/4
Given the two expressions shown below:
A. square root of 3 + square root of 2
B. square root of 3 + square root of 6
Which statement best describes the two expressions?
A. both rational
B. both irrational
C. A is rational and B is irrational
D. A is irrational and B is rational
Plz help Thanks for Everything Guys
-2+3n>-14
A -16/3
B -3
C -20/3
D none of the above
A music store sold 10 to the third CDs and ten to the second CDs players if each CD costs $12 and each CD player costs $35, what was the stores total earnings
Please answer, , I need this by 10:00, thank you!
1 __ 6/3 Is less than greater than or =
What is 2,117 divided by 3
Use exponents to write the number 64 three different ways
A bag contains 20 marbles of the same size that are blue, green, and red. The probability of picking a blue marble is 20%. The probability of picking a green marble is 50%. Determine the probability of picking a red marble from the bag and then classify the probability of picking a red marble as likely or not likely to occur.
Hello!!
This is the correct answer.
Probability (Blue Marble) = 20%
Probability (Green Marble) = 50%
Probability (Red Marble) = ?
20% - 50% = 30%
The probability of picking a red marble from the bag is 30%.
Likely is defined as 50% so in this case, the probability of picking a red marble is not likely.
Hope this helps!!!!
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A student answers
90%
of the questions on a math exam correctly. If
sheshe
answers
27
questions correctly, how many questions are on the exam?
To find the total number of questions on the exam, set up a proportion 27 / x = 90% / 100%. Solve for x to find that there are 30 questions on the exam.
Explanation:To find the total number of questions on the exam, we can set up a proportion. Let's represent the total number of questions on the exam as x.
The proportion would be:
Correctly Answered Questions / Total Questions = Percentage Correct
Substituting the given values:
27 / x = 90% / 100%
Cross multiplying:
27 * 100% = x * 90%
27 = 0.9x
Dividing both sides by 0.9:
x = 27 / 0.9
x = 30
Therefore, there are 30 questions on the exam.
Find an equation of the line that has a y-intercept of -2 and is perpendicular to the graph of 3x+6y=2
Find the value of x so that the function has the given value.
h(x)=−7x ; h(x)=63
The value of x for which the function h(x) = - 7x is h(x) = 63 is - 9.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, h(x) = -7x and h(x) = 63.
∴ We can equate these two functions as h(x) = h(x) which is,
- 7x = 63.
- x = 63/7.
- x = 9.
x = - 9.
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Find the total cost to the nearest cent $1,500 computer; 7% tax?
Write using algebra.
A bucket holds c liters of water, but a jar holds 8 liters less. How many times as much water can the bucket hold as the jar?
The ratio representing how many times as much water the bucket can hold as the jar is [tex]\frac{c}{c-8}[/tex], where c is the capacity of the bucket in liters.
If a bucket holds c liters of water and a jar holds 8 liters less than the bucket, then the jar holds c - 8 liters of water. To find how many times as much water the bucket can hold as the jar, we divide the bucket's capacity by the jar's capacity. This gives us the ratio of the bucket's capacity to the jar's capacity, which is [tex]\frac{c}{c-8}[/tex].
10. Solve the equation for f. Show all of your work.
4f-5=7h+g
47% percent simplest form
solve the equation for y
5 ( y + 1 ) = 30
y = ??
A right rectangular prism is 5 inches long, 12 inches wide, and 8 inches tall. The diagonal of the base is 13 inches.
The area of the cross section that is perpendicular to the base and created by a plane that slices the prism through the diagonals of the base and its opposite face is _ ?
square inches.
Answer:
Area of cross section is 104 [tex]\:inche^2[/tex]
Step-by-step explanation:
Given Dimensions of Rectangular prism are Length = 5 inches, Width = 12 inches and Height = 8 inches.
The shape of the cross section that is perpendicular to the base and created by slicing the prism through diagonals of top and bottom is Rectangle.
Length of rectangle = Length of diagonal of base & top = 13 inches
Width of Rectangle = Height of Prism = 8 inches
Area of Cross Sectional Rectangle = Length × Width
= 13 × 8
= 104 [tex]\:inche^2[/tex]
Therefore, Area of cross section is 104 [tex]\:inche^2[/tex]
A family budgets 1/2 of its income for housing and 1/3 for food. What fraction of their budget do these expenses cover?
Explain the steps when solving 3(N+5)>= 3n+8. Please explain how to solve.
What is the answer of this question 67% of 8.7=
For
5(x − 4)2,
the order of operations requires that we multiply
(x − 4)(x − 4)
before multiplying by the numerical coefficient 5. Use the order of operations in this exercise. (Simplify your answer completely.)
2(x + 3)2
You start out driving from your house to an old friend’s house in a different town, which is 280 miles away. After an hour and a half, you have gone 105 miles.
a) Assuming your speed is constant, find a linear function , which gives the distance from your house (in miles) as a function of time (in hours).
b) Find and interpret D(1).
c) Solve D(t)=280
d) Solve D(t)^3>=140 and interpret the result.
e) Considering the context of this function, what is the domain?
f) What is the range?
Determine the slope of the line that passes through the points: x−4034y−351113
Translate the problem into a mathematical sentence, using f as your variable name. Do not use spaces in your answer. (If necessary, use a star [ * ] for multiplication, or a slash mark [ / ] for the division bar.)Jay is making a documentary on the opinions of Cortland residents toward a local sports team. If he talks to 8 people, and each interview lasts 3 minutes, how long will the film be?Answer:
Marlene rides her bicycle to her friend Jon's house and returns home by the same route. Marlene rides her bike at constant speeds of 6 mph on level ground, 4 mph when going uphill and 12 mph when going downhill. If her total time riding was 2 hours, how far is it to Jon's house?
x = level ground
y = hills
x/6 +y/4 +y/12 + x/6 = 2 hours
multiply everything by 12 to get rid of the denominators:
equation becomes 2x +3y +y +2x = 24
combine like terms:
4x +4y = 24
divide everything by 4
f +h = 6 miles to Jon's house
Jon's house is 6 miles further away from Marlene's house.
Given that:
Speed on level ground is 6 mph
Speed on uphills is 4 mph
Speed on downhills is 12 mph
Let there are x miles level ground and y miles hills(either up or low, which while returning to home will serve as low or up respectively) in the route, then the whole route's length is x + y miles.
Since time taken = distance/speed , thus we have:
[tex]2 = \dfrac{x}{6} + \dfrac{y}{4} + \dfrac{x}{6} + \dfrac{y}{12}\\\\\text{Multiplying 12 on both sides}\\\\24 = 4x + 4y\\6 = x + y[/tex]
Since x + y denotes the length of the whole route(one sided), thus, Jon's house is 6 miles further away from Marlene's house.
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