Answer:
3 miles per hour
Rectangle ABCD has a perimeter of 22 units. The coordinates of the rectangle's vertices are A(-4,5), B(3,x), and D(-4,x). Which could be the value of x
Through the given information in the question, the value of x could be 12.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance around the outside of the rectangle. It is calculated by adding together the length of all four sides of the rectangle. If the length of the rectangle is denoted by 'l' and the width is denoted by 'w', then the formula for the perimeter (P) of the rectangle is:
P = 2l + 2w
Alternatively, the formula can also be written as:
P = 2(l + w)
The perimeter of a rectangle is given by the sum of the lengths of all four sides. Therefore, we can write:
AB + BC + CD + DA = 22
We know that AB = CD = 9 since they are opposite sides of the rectangle. We also know that DA = BC = x - 5, since they are the other two sides of the rectangle.
Substituting these values into the perimeter equation, we get:
9 + x - 5 + 9 + x - 5 = 22
Simplifying the equation, we get:
2x - 2 = 22
2x = 24
x = 12
Therefore, the value of x could be 12.
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The area of a rectangular tabletop is 23. 8 square feet. The tabletop is 4. 25 feet wide. How long is the tabletop?
Answer:
Step-by-step explanation:
Length = Area ÷ width
= 23.8 ÷ 4.25
= 5.6 ft
2x + st = 2q
Solve for X
Answer:
i dont understand explain
Step-by-step explanation:
Answer:
x = q- st/2
Step-by-step explanation:
If a car travels an average of 41 mph for 5.2 hours, how far will it travel? ( d=rt)
please help due soon
Multiply speed by time:
41 x 5.2 = 213.2 miles
The answer is the first choice.
Answer:
D = 41 (R) x 5.2 (T) = 213.2 miles
Step-by-step explanation:
Can someone show me how to solve this step by step?
9514 1404 393
Answer:
x = -15
Step-by-step explanation:
It appears the drawing is showing two representations for the distance LK. Of course, they both have the same value.
10 = LK = x+25
Subtracting 25 from the equation, we have ...
-15 = x
(This value of x makes KJ = (2(-15)+27) = -3, a nonsense value.)
_____
Alternate (more sensible) interpretation
If the bottom line is intended to represent LJ, then we have ...
10 +(2x+27) = (x +25) . . . . LK +KJ = LJ
x +37 = 25 . . . . subtract x
x = -12 . . . . . . . subtract 37
With this value of x, the length of KJ is 2(-12)+27 = 3, and the overall length LJ is (-12)+25 = 13. This is consistent: LK=10, KJ = 3, LJ = 13.
How to find the surface area of a trapezoidal prism.
Answer:
( b1 + b2)h+ph
Step-by-step explanation:
get it
solve pls brainliest
Answer:
6 1/4
Step-by-step explanation:
5^2/2^2
25/4
6 1/4
Have an amazing day!!
Please rate and mark brainliest!!
the points u,v, w and x all lie on the same line segment , in that order ,such that the ratio of uv: vw: wx is equal to 1:3:4.if ux=8,findvx.
Answer:8
Step-by-step explanation:
Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly. How much more will Viola’s monthly payment be if the loan is unsubsidized than if the loan is subsidized? Round all dollar values to the nearest cent. A. $35. 05 b. $45. 94 c. $96. 96 d. $63. 52.
The Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\left(1+\dfrac{R}{n\times100}\right)^{nt}[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly.
Put this values in the above formula as,
[tex]A=8470\left(1+\dfrac{7.5}{12\times100}\right)^{12\times 4}\\A=11422.6348[/tex]
For the four years, the monthly payment is,
[tex]m=\dfrac{11422.6348}{4}\\m=237.97[/tex]
The monthly payment of unsubsidized loan is $237.97.
The monthly payment of subsidized loan is $202.80.
The difference between the unsubsidized and subsidized loan monthly payment is,
[tex]d=237.97-202.80\\d=35.17\\d\approx35.05[/tex]
Thus, the Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.
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I don't know what to do can someone help
Answer:
(b) ΔRST ~ ΔRUS ~ ΔSUT(a) a = 400/21; b = 580/21Step-by-step explanation:
1.Similarity statements are written with corresponding vertices in the same order. So, there are two tasks involved: (1) identifying corresponding vertices; (2) making sure they are written in the same order in the similarity statement.
Here, we could go to the trouble to identify all pairs of corresponding vertices. Then we could write our own similarity statements and see which answer choice corresponds. However, it is sufficient to do just enough work to allow elimination of bad answer choices.
Sometimes in figures like this, it is difficult to tell the short side of the right triangle from the long side. (This figure is pretty helpful.) However, it is always possible to identify the hypotenuse of each triangle. They are ...
RT, RS, ST
What this means is that these letters should appear in the same spots in each part of the similarity statement.
(a) RT are in the 1st and 3rd spots of the first triangle name. In the second triangle name, those spots are occupied by SU--not a hypotenuse. (rejected)
(b) The 1st and 3rd spots of each statement are occupied by RT, RS, ST, so this is a viable candidate.
(c) The 1st and 3rd spots of the first triangle name are occupied by ST, but those spots of the second triangle name are SU--not a hypotenuse. (rejected)
(d) The 1st and 2nd spots of the first triangle name are occupied by RT, and those spots in the second triangle name are RS. However, those spots in the third triangle name are TU--not a hypotenuse (rejected).
The only viable choice for similarity statement is the second choice:
ΔRST ~ ΔRUS ~ ΔSUT
__
2.We can find segment 'a' by writing a proportion between sides of the largest and medium-size triangles:
hypotenuse/long side = (21 +a)/29 = 29/21
21(21 +a) = 29² . . . . . multiply by 29·21
441 +21a = 841 . . . . simplify
21a = 400 . . . . . . . subtract 441
a = 400/21 . . . . . . . . . . . divide by 21. (eliminates choices C and D)
At this point, we can solve for b in similar fashion. However, it is sufficient to use "triangle sense" to eliminate the remaining bad choice. We know the hypotenuse of any right triangle is the longest side. Here, that means ...
b > 20 . . . . . (eliminates choice B)
The only viable answer choice is A:
a = 400/21, b = 580/21
__
Additional comments
For multiple-choice questions, you can arrive at a solution just as effectively by eliminating bad choices as you can by working the problem in detail to develop the correct choice. Here, we try to use "common sense" to simplify the work as much as possible. This saves time, which is what you want when you're working a timed assignment.
__
This geometry has several interesting features. If you start at the right angle and write side lengths in order clockwise, the two "inside triangles" have the order {longest side, hypotenuse, shortest side}. The overall outside triangle has the order {shortest side, hypotenuse, longest side}. That is, the order of the outside triangle vertices is counterclockwise for the same order of corresponding sides. Realizing/remembering this can immensely simplify the process of writing similarity statements for these triangles.
Another feature is one we demonstrated in the solution for 'a' in the second problem: the length of a segment touching the longest hypotenuse is the geometric mean of the lengths of the hypotenuse segments it touches. In the case in point: 29 = √((21)(21 +a)). We could also write the relationship: 20 = √((21)(a)), perhaps getting there more directly: a=400/21. And finally, b = √((a(a+21)). These geometric mean relationships all derive from the proportions you can write using triangle similarity.
(The geometric mean of two numbers is the square root of their product. For n numbers, it is the n-th root of their product.)
What’s 8/2(2+2). Please hurry I’ll mark you brainliest if you make me get it right
Answer:
Step-by-step explanation:
PEMDAS
2+2 is 4
8/2 is 4
4+4 is 8
A pizza restaurant has a toddler play area with a ball pit.The ball out has 1000 red balls,500 green balls,and 100 yellow balls. If a ball is randomly picked from the pit,What is the probability it is yellow
Answer:
6.25
Step-by-step explanation:
A bag of flour weighs 5 pounds. There are 435.5 grams in a 1 pound. How may grams of flour are in the bag?
Step-by-step explanation:
435.5 X 5 = 2177.5 g are in the bag
In the given figure, ABC is a right triangle.
What is true about AABC?
Answer:
C. sin(A) = cos(C) and cos(A) = sin(C)
Step-by-step explanation:
Use a net to find the surface area of the right triangular prism shown below 6ft 7ft 8ft 10ft
Step-by-step explanation:
Considering the area of the 2 right angled triangles
Area of two triangles
=2 [1/2 x base x height]
=base x height
=8 x 6
=48 ft2
Area of two big rectangles
=2 [length x width]
=2 [10 x 7]
=2 x 70
=140 ft2
Area of small rectangle (base of figure)
= length x width
=7 x 6
=42 ft2
Total surface area
=sum of all areas
= 42 + 140 + 48
=230 ft2
The bedroom is 10 ft. by 8 ft, and the ceilings are 8 ft.
Find the surface area of the rectangular room
Please help me I need the explanation to the question step by step solving
Find the values of x and y.
Answer:
x = 15; y = 17
Step-by-step explanation:
A line equals 180 degrees
7x + 7 and 4y form the full line
As such:
7x + 7 + 4y = 180
Another line formation is between 4y and 112
A line equals 180 degrees
4y + 112 = 180
180 = 180 so:
7x + 7 + 4y = 4y + 112
Isolate the variable x
Subtract 4y from both sides
7x + 7 + 4y - 4y = 4y - 4y + 112
7x + 7 = 112
Subtract both sides by 7
7x + 7 - 7 = 112 - 7
7x = 105
Divide both sides by 7
7x ÷ 7 ÷ = 105 ÷ 7
1x = 15
x = 15
If x = 15, plug this new information into the expression with both x and y variables
7(15) + 7 + 4y = 180
Pemdas says multiply first
105 + 7 + 4y = 180
Combine like terms
112 + 4y = 180
Subtract both sides by 112
112 - 112 + 4y = 180 - 112
4y = 68
Divide both sides by 4
4y ÷ 4 = 68 ÷ 4
1y = 17
y = 17
Check work:
7(15) + 7 + 4(17) = 180
Pemdas says multiply first
105 + 7 + 68 = 180
Combine like terms
112 + 68 = 180
180 = 180
This means the variable values are correct
HELLLPPPPP!!!!!!
What is the missing number in the synthetic division problem below?
Answer:
9
•
•••••
•••••••••••••••
Answer:
9 :) (ape.x)
Step-by-step explanation:
Write -9 1/2 as a decimal number.
Answer:
-.095 is the correct answer
Step-by-step explanation:
look it up if you want-_-
Answer:
-0.75
Step-by-step explanation:
Choose the mixed number for this decimal
2.1
Answer:
21/10
Step-by-step explanation:
you"ll have to take my word for it
Jason needs $12,000 to pay for a training program. Jason decides to get loan from his bank at 2.2% interest for 5 years? How much interest will Jason pay for this loan?
Answer:
therefore he will pay $12,264
Answer:
$1,379.37
Step-by-step explanation:
to solve we do [tex]12000(1.022)^5[/tex] then subtract 12000.
Please rate and mark as brainlest. hope this helps!
Help Please! 5/4-1/3-1/2 (fractions)
If a, b, and c are rational numbers and ac>bc always true?
Answer:
Let's put it like this.
a = 1
b = 2
c = 3
Now, multiply b and a.
a x c = 3
Convert this expression to its factored version, ac.
Next, multiply b and c.
b x c = 6
Turn b and c into factored form, bc.
↓ conclusion ↓
Since 6 is greater than 3, this statement is not true. The only way it will always be true is if you reversed the number sequence to be greatest to least, instead of least to greatest.
help will give Brainliest!!!!!!!!!!!!!
Answer:
lol give them to me Xd
Step-by-step explanation:
Answer: C. 1*10^1 times
I’ll give Brainly for helping
Answer: 16
Step-by-step explanation:
What is the diameter of a circle with a circumference of 84. 78 inches? Use 3. 14 for π. Enter your answer in the box.
Answer:11.08in
Step-by-step explanation:
4² × (-3/2)⁴ how we do it plz tell
The answer to this is 81.
Help please!!!,,,,,,
Answer: 2x+5y=100 and x+y=38
Step-by-step explanation:
Non Examples of table graph
Answer:
i didnt get u what do u want that i should explain u
A cylinder has a surface area of 150 inches²? What is its height if the radius is 5 inches?
A) 5 inches
B) 10 inches
C)
[tex]5\pi \: inches[/tex]
D)
[tex]10\pi \: inches[/tex]
Answer:
10 inches
Step-by-step explanation:
did with a teacher