After rotating angle Q, which initially measures 30 degrees, by 15 degrees, the new angle Q' measures 45 degrees.
When we talk about rotating an angle, we are referring to moving the angle around its vertex through a specified measure. If we have angle Q which measures 30 degrees and we rotate it by 15 degrees, we are effectively adding 15 degrees to the original angle. Thus, the measure of angle Q' will be 30 degrees plus 15 degrees which equals 45 degrees. Rotations do not change the original angle but instead give us a new angle based on the original position plus the rotation.
4:08 - 1:15 =
WITH REGROUPING
Answer:
excuse me what, what is the question
Step-by-step explanation:
Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.
Car 1 and car 3 have the same speed.
What is division?Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.
To find which cars traveled at the same speed, we need to calculate the speed of each car. We can do this by dividing the distance traveled by the time it took to cover that distance.
For example, car 1 traveled 140 miles in 2 hours, so its speed was:
Speed of Car 1 = Distance of Car 1 / Time of Car 1 = 140/2 = 70 miles per hour.
Similarly, we can calculate the speed of each car using the given data. When we do this, we get:
Speed of Car 1 = 70 mph
Speed of Car 2 = 80 mph
Speed of Car 3 = 70 mph
Speed of Car 4 = 50 mph
We can see that Car 1 and Car 3 traveled at the same speed, which was 70 miles per hour. Therefore, the answer is that Cars 1 and 3 traveled at the same speed.
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The complete question:
Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.
Car distance time
1 140 2
2 160 2
3 210 3
4 200 4
West Side Middle School and Jefferson Middle School recycled newspaper and kept track of how many pounds of paper each student collected.
Looking at the data as a whole, which school appears to have brought in more newspapers on a daily basis?
A) Jefferson Middle School
B) West Side Middle School
C) They brought in equal amounts on a daily basis.
D) This information cannot be determined.
Answer:
The correct answer is answer B
Step-by-step explanation:
The picture I added
It is Jamie’s birthday and her mom just bought her an Xbox. She’s trying to find the surface area of the box so she can determine how much wrapping paper to use. The box is 24 inches long 12 inches wide and 10 launch is high what is the surface area of Jamie’s new Xbox?
The dimensions of the box are given 24 inches long, 12 inches wide, and 10 inches high. The box is in the shape of a rectangular prism.
We know the formula of surface area of rectangular prism is given by :-
[tex] Surface\;\; area = 2*(lw+wh+hl) [/tex]
where l is length, w is width, and h is height of the rectangular prism.
We can plug the given values l = 24, w = 12, and h = 10 into the formula and solve it for answer.
Surface area = 2 x (24x12 + 12x10 + 10x24)
Surface area = 2 x (288 + 120 + 240)
Surface area = 2 x 648
Surface area = 1296 squared inches.
So she needs 1296 squared inches of wrapping paper.
Hence, the final answer is 1296 squared inches.
Multiply and simplify. 6xy^3z⋅3x^2yx^2
a) 18(xyz)^10
b) 9x^5y^4z
c) 18x^5y^4z
d) 18x^4y^3z
Multiplying and simplifying 6xy³z · 3x²yx² gives;
C: 18x⁵y⁴z
Solving ExponentsWe want to multiply and simplify;
6xy³z · 3x²yx²
Let us first group the like terms to get;
(6 * 3) * (x · x² · x²) * (y³ · y) * z
According to laws of exponents;
a³ × a² = a⁽³ ⁺ ²⁾ = a⁵
Thus;
(6 * 3) * (x · x² · x²) * (y³ · y) * z = 18x⁵y⁴z
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in the given figure triangle PQR is a right angle triangle with angle Q is equal to 19 degree of QRST is a square on the side QR and PRMN is a square on the side PR of the triangle prove that PS is equal to QM
(ax + 5)(x-b)+4x=(2x × 2x)+ cx-10
Equating coefficients in identities
Is the function represented by the table non-linear?
X / Y
-----------
6 / 4
7 / 2
8 / 0
9 / -2
Kate has 12 1/2 pounds of chocolate. She gives each of her 5 friends x pounds each and has 3 1/3 pounds left over. How much did she give each of her friends?
A rectangular prism has a length of 312 inches, a width of 312 inches, and a height of 7 inches. Danny has a storage container for the prism that has a volume of 90 cubic inches.
What is the difference in volume between the prism and the storage container?
Enter your answer in the box as a simplified mixed number or a decimal.
Answer:
The answer would be 4 1/4
Step-by-step explanation:
The difference in volume between the prism and the storage container is 68,580 cubic inches.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume of the rectangular prism is:
V = l × w × h
= 312 in × 312 in × 7 in
= 68,670 in³
The volume of the storage container is given as 90 cubic inches.
The difference in volume between the prism and the storage container is:
68,670 in³ - 90 in³ = 68,580 in³
Therefore, the difference in volume between the prism and the storage container is 68,580 cubic inches.
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Complete the work to determine the value of a. Use the law of sines: . Substitute: . Cross multiply: 8sin(45°) = asin(77°). Solve for a and round to the nearest hundredth: a ≈ .
The value of a is 5.81 to the nearest hundredth.
What is the Law of Sines?The ratios of a triangle's side lengths to each of its opposite angles are related by the law of sines. There is no change in this ratio for the three sides or the opposing angles.
Using the law of sines, we have:
sin(45°)/a = sin(77°)/8
To solve for a, we can cross-multiply and simplify:
8sin(45°) = asin(77°)
a = (8sin(45°))/sin(77°)
Using a calculator, we get:
a ≈ 5.81 (rounded to the nearest hundredth)
Therefore, a ≈ 5.81.
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48 students are going to the zoo. one-fourth brought umbrellas. how many people did not bring umbrellas
?
Can someone please help! \
Please
One side of a regular pentagon measures 0.78 centimeters. What is the perimeter of the pentagon in centimeters?
What is a net? WIll mark brainliest!!!
What is the median value of the data set shown on the line plot? Enter your answer in the box. A line plot with twenty-two data values. Labels are at zero, three, six, nine, and twelve. Tick marks are every one unit. Values appear as x marks above the line. Plot data values are one x mark above one, one x mark above two, two x marks above three, two x marks above four, three x marks above five, four x marks above six, three x marks above seven, three x marks above eight, two x marks above nine, and one x mark above eleven.
The median is 6.
This median is easy to find-- you place all your numbers in numerical order and choose the number(s) in the middle-- for this question the median is 6.
I believe your line plot looks like this [Screenshot was taken on K12]:
Please forgive me if this is wrong, and please tell me the correct answer if this incorrect.
Can someone figure out the area ?
A family is building a circular fountain in the backyard. The yard is rectangular and measures 10x by 15 and the fountain is going to be circular with a radius of 4x. Once the fountain is built, what will be the area of the remaining yard?
A.) 2x^2 (75-8 [tex] \pi [/tex])
B.) 150x^2-4 [tex] \pi [/tex] x^2
C.) 134 [tex] \pi [/tex] x^2
D.) 134x^2
Arnold has been given a 6 foot by 6 foot sheet of cardboard to make an open box by cutting an equal size square from each corner, folding up the resulting flaps, and taping at the corners. Your task is to label dimensions on a sketch with same size variable cut from each corner.
Arnold creates an open box by cutting squares of size x from each corner of a 6x6 feet cardboard sheet and folding up the flaps, resulting in a box with a base of (6 - 2x) by (6 - 2x) feet and height x feet.
Explanation:To create an open box from a 6 foot by 6 foot sheet of cardboard, Arnold needs to cut squares of equal size from each corner. To represent this action, consider a square of x feet being cut out from each corner. The new dimensions of the cardboard, once the squares are removed, will measure (6 - 2x) feet by (6 - 2x) feet, with x representing the length of each side of the square cut-outs.
When Arnold folds the flaps up to form the sides of the box, the dimensions of the base will be (6 - 2x) feet by (6 - 2x) feet, and the height of the box will be x feet. The largest size for x is 3 feet, but that would result in no base for the box at all, so x must be less than 3 feet. The volume of the box can be calculated as V = x(6 - 2x)2. To maximize the volume, Arnold could use calculus to find the maximum value for V based on x within the range of 0 to 3 feet.
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In triangle FGH, mF is 94°, mG is 49°, and mH is 37°. The exterior angles of triangle FGH are J, K, and L, and they are adjacent to F, G, and H, respectively.
What is mK?
A. 86°
B. 49°
C. 143°
D. 131°
Using the property of exterior angles, mK is found by adding the measures of the non-adjacent interior angles mF and mH, resulting in mK being equal to 131°.
Explanation:The student is asking to find the measure of exterior angle mK in triangle FGH. To find mK, which is the exterior angle adjacent to G, we need to use the property of exterior angles in a triangle. This property states that the measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles.
To find mK we add the measures of angles mF and mH:
mK = mF + mH
mK = 94° + 37°
mK = 131°
Therefore, the measure of the exterior angle K is 131°, which corresponds to answer choice D.
In health class, students record the weights of the sandwiches they have for lunch. The weights are shown in the line plot below. What is the average weight of one sandwich?
The mean of the value of a data is the sum of the data divided by the sample size. The average weight of one sandwich is 3/10
How to calculate the mean of data?The mean of the value of a data is the sum of the data divided by the sample size.
Mean = sum/sample size
Find the mean
Sum = 1/8 + 1/8 + 4(1/4) + 2(3/8) + 2(1/2)
Sum = 1/4 + 1+ 3/4 + 1
Sum = 3
Sample size = 10
Mean = 3/10
Hence the average weight of one sandwich is 3/10
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The dot plot shows the number of visitors. Determine the median of the data set.
A) 56 B) 61 C) 62 D) 68
Answer: C) 62
Step-by-step explanation:
Median is the middle value of a sorted (in an order) data.Total number of dots n=15 (odd)
Median = value denoted by middle number
i.e . Median = [tex]\dfrac{n+1}{2}^{th}\text{term}[/tex]
i.e . Median = [tex]\dfrac{15+1}{2}^{th}\text{term}[/tex]
i.e . Median = [tex]8^{th}\text{term}[/tex]
i.e. Median= Value denoted by 8th dot = 62
Hence, the median of the data set. = 62
Hence, the correct option is C) 62.
Answer:
c)61
Step-by-step explanation:
A triangle contains the angles 75" and 45". What is the missing angle in the triangle
Mr.holms used 4/5 of a carton of orange juice.he used equal amounts of leftover juice for two servings what fraction of the whole carton of juice did he use for each serving
((5x−16)^3−4)^3=216,000
Final answer:
To solve the equation ((5x−16)^3−4)^3=216,000, one must apply the rules of exponents and algebraic manipulation step by step, isolating x and using mathematical operations to simplify the expression.
Explanation:
Solving an Equation with Powers
The problem ((5x−16)^3−4)^3=216,000 involves understanding the rules of exponents and algebraic manipulation. When you're dealing with expressions raised to a power, it's important to remember that the power affects everything inside the parentheses, including the number. This is evident in expressions like (5³)* which is equivalent to 5⅜⅓ and results in 5 multiplied by itself 12 times, giving 5⁼.
When approaching the given equation, you would first look to isolate the base of the cube on one side, leading to the cube root to undo the cube power. You would continue simplifying step by step until you isolate x, the variable in question. The key here is to perform operations that counteract the powers and other mathematical operations presented.
In some cases, you might encounter a polynomial long division such as dividing S=9x⁵ +4x⁴ - 5x³ +6x² + 2x - 3 by another polynomial. This requires knowledge of the long division algorithm adapted for polynomials. Each term is divided individually to find the quotient.
DE is a line segment with endpoints D(-5,1) and E(3, 3). What are the coordinates of D’ and E’, the image of DE under a dilation of magnitude 1.5 and a center of dilation at the point (-4,2)?
Answer:
d= -2, 0
e= 6, 4
Step-by-step explanation:
Doing the same practice right now!!
the nth term to a sequence n+7 first 3 terms
The first three terms of sequence whose nth term is n+7 are 8, 9 and 10.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given that the nth term of a sequence is n+7.
We need to find the first three terms of the sequence.
Tₙ=n+7
To find the first 3 terms, replace value of n with 1,2 and 3.
When n=1
T₁=1+7=8
When n=2,
T₂=2+7=9
When n=3
T₃=3+7=10
Hence, the first three terms of sequence whose nth term is n+7 are 8, 9 and 10.
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Please help and show work
three sets of a sum of a number and four are added to the sum of 7 times the same number and 13
Betty saves 3 times as much as Ann. Charles saves 390 less than Ann. If Betty saves 1,330 more than Charles, how much does Charles save