A right triangle ABC is shown below:
The area of the triangle above will equal one half of a rectangle that is 5 units long and __ units wide.
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Related Questions
4:08 - 1:15 =
WITH REGROUPING
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Answer:
excuse me what, what is the question
Step-by-step explanation:
three sets of a sum of a number and four are added to the sum of 7 times the same number and 13
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x--------------> a number
we know that
three sets of a sum of a number and four----------> 3(x+4)
the sum of 7 times the same number and 13--------> 7x+13
therefore
(Three sets of a sum of a number and four) are added (to the sum of 7 times the same number and 13) ----------> [3(x+4)] + [7x+3]
[3(x+4)] + [7x+3]------> [3x+12] + [7x+3]=10x+15
the answer is 10x+15
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?
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12 1/2 = 5x + 3 1/3
rewrite the mixed fractions as improper fractions and with denominator 6
75/6 = 5x + 20/6
subtract 20/6 from both sides
55/6 = 5x
divide both sides by 5 to isolate x
11/6 = x
That is 1 and 5/6 pounds per each of the friends
To check:
12 1/2 =?= 5(1 5/6) + 3 1/3
12 1/2 =?= 55/6 + 3 1/3
12 1/2 =?= 25/2
12 1/2 = 12 1/2
Hope this helps
Is the function represented by the table non-linear?
X / Y
-----------
6 / 4
7 / 2
8 / 0
9 / -2
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What is a net? WIll mark brainliest!!!
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The hypotenuse of a right triangle is 50 mm. One leg of the right triangle is 30 mm. What is the length of the other leg? 20 mm 30 mm 40 mm 60 mm
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a^2 + b^2 = c^2
c = hypotneuse
give him brainliest :)
btw i didn't know how to spell it lol
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
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Can someone please help! \
Please
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the nth term to a sequence n+7 first 3 terms
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Hey !!
Check the attachment.
Hope it helps you :)
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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while hiking on the grand canyon you realize your elevation is 2,400 ft. Is this elevation below sea level?
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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?
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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.
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
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Mr. Holms used 4/5 of the carton already, right? So that means he has 1/5 of the carton remaining.
He used half of that 1/5 to make 2 servings. 1/5 divided by 2 is just 1/5 times 1/2 which is 1/10.
Mr. Holms used 1/10 of the carton for each serving.
Check Your Answer: 4/5 + 1/10 + 1/10 = 8/10 + 1/10 + 1/10 = 10/10 = 1 whole carton. BOMB! Right on the money.
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.
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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
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
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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
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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 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.
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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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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)?
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x= |-4-(-5)| =1
y= |2-1| =1
Now we multiply this distance by the dilation factor
x_distance = 1 * 1.5 = 1.5
y_distance = 1 * 1.5 = 1.5
Now we do same for point E:
x= |-4-3| =7
y= |2-3| =1
Now we multiply this distance by the dilation factor
x_distance = 7 * 1.5 = 10.5
y_distance = 1 * 1.5 = 1.5
Now we need to find coordinates for points D' and E'.
Point D':
x = -4 - 1.5 = -5.5
y = 2 + 1.5 = 3.5
Point E':
x= -4 + 10.5 = 6.5
y= 2 + 1.5 = 3.5
D'(-5.5, 3.5)
E'(6.5,3.5)
Answer:
d= -2, 0
e= 6, 4
Step-by-step explanation:
Doing the same practice right now!!
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.
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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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48 students are going to the zoo. one-fourth brought umbrellas. how many people did not bring umbrellas
?
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48-12=36
Answer is 36.
That would be 12 because 48/4 = 12,
Now, if you read the question, you realize that 12 is the number of people who brought an umbrella.
Soo you subtract 48 - 12, which equals 36.
36 people didnt bring umbrellas.
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
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A family is building a circular fountain in the backyard. The yard is rectangular and measures 10x by 15x 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?
Step 1
find the area of rectangular yard (A1)
A1=(10*x)*15*x=150*x² units²
Step 2
find the area of the circular fountain (A2)
A2=pi*r²---------> pi*(4x)²=16*pi*x²
Step 3
find the area of the remaining yard (A3)
A3=A1-A2----------> 150*x²-16*pi*x²----> x²*[150-16*pi]----> 2*x²*[75-8*pi]
the answer is the option A)
2x² (75-8pi )
(ax + 5)(x-b)+4x=(2x × 2x)+ cx-10
Equating coefficients in identities
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4 x + (x - b) (a x + 5) = -10 + c x + 4 x^2
Expand and collect in terms of x:
-5 b + x (9 - a b) + a x^2 = -10 + c x + 4 x^2
Subtract -10 + c x + 4 x^2 from both sides:
10 - 5 b + x (9 - a b) - c x - 4 x^2 + a x^2 = 0
Expand and collect in terms of x:
10 - 5 b + x (9 - a b - c) + x^2 (a - 4) = 0
Divide both sides by a - 4:
(10 - 5 b)/(a - 4) + (x (9 - a b - c))/(a - 4) + x^2 = 0
Subtract (10 - 5 b)/(a - 4) from both sides:
(x (9 - a b - c))/(a - 4) + x^2 = -(10 - 5 b)/(a - 4)
Add (9 - a b - c)^2/(4 (a - 4)^2) to both sides:
(9 - a b - c)^2/(4 (a - 4)^2) + (x (9 - a b - c))/(a - 4) + x^2 = (9 - a b - c)^2/(4 (a - 4)^2) - (10 - 5 b)/(a - 4)
Write the left hand side as a square:
((9 - a b - c)/(2 (a - 4)) + x)^2 = (9 - a b - c)^2/(4 (a - 4)^2) - (10 - 5 b)/(a - 4)
Take the square root of both sides:
(9 - a b - c)/(2 (a - 4)) + x = sqrt((9 - a b - c)^2/(4 (a - 4)^2) - (10 - 5 b)/(a - 4)) or (9 - a b - c)/(2 (a - 4)) + x = -sqrt((9 - a b - c)^2/(4 (a - 4)^2) - (10 - 5 b)/(a - 4))
Subtract (9 - a b - c)/(2 (a - 4)) from both sides:
x = sqrt(((9 - a b - c)^2)/(4 (a - 4)^2) - (10 - 5 b)/(a - 4)) - (9 - a b - c)/(2 (a - 4)) or (9 - a b - c)/(2 (a - 4)) + x = -sqrt((9 - a b - c)^2/(4 (a - 4)^2) - (10 - 5 b)/(a - 4))
Subtract (9 - a b - c)/(2 (a - 4)) from both sides:
Answer: x = sqrt(((9 - a b - c)^2)/(4 (a - 4)^2) - (10 - 5 b)/(a - 4)) - (9 - a b - c)/(2 (a - 4)) or x = -sqrt(((9 - a b - c)^2)/(4 (a - 4)^2) - (10 - 5 b)/(a - 4)) - (9 - a b - c)/(2 (a - 4))
Please help and show work
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.. = 5.76*10^7 cans/(48 h)
Selection G is appropriate.
One side of a regular pentagon measures 0.78 centimeters. What is the perimeter of the pentagon in centimeters?
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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?
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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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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 ≈ .
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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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Multiply and simplify. 6xy^3z⋅3x^2yx^2
a) 18(xyz)^10
b) 9x^5y^4z
c) 18x^5y^4z
d) 18x^4y^3z
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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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Please Help Me:
In which number is the value of the 9 ten times the value of the 9 in the number 920?
A. 509,000
B. 7,190
C. 8,900
D. 293,000
thank you!
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Answer:
509,000
Step-by-step explanation:
The problem said that the 9 is ten times so when it said that the 920 is an example it actually mean to find that the 9 it gave us we have to find the 9 in the number 920.Here is an equation to help you.
900 x 9=9000.
the number 509,000 has the number 9 in the 1,000 place.
The place value is the value of a digit in a given number.
The number given in the question is 920. The place value of 9 is in the hundreds position.
Hence, The value of 9 is 900
The value of the 9 ten times the value of the 9 in the number 920 is calculated as
9 x 900 = 8900
Option C is the correct option.
Therefore, the value of the 9 ten times the value of the 9 in the number 920 is 8900.
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A triangle contains the angles 75" and 45". What is the missing angle in the triangle
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Can someone figure out the area ?
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area of full circle = 3.14 x 1.3^2 = 5.3066 = 5.31
area of the shaded area = 80/360 x 5.31 = 1.18 square cm
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.
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Answer:
The correct answer is answer B
Step-by-step explanation:
The picture I added