7
Jackson is creating a rectangular board game that includes a diagonal line from two of the corners of the game. How long is the diagonal if the board game is 10 inches
long by 8 inches wide? Explain your reasoning. Round your answer to the nearest tenth of an inch.
Helppp
Answers
Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.
Related Questions
Solve:
Three less than the product of eight thirds and nine.
Pls HELP ME
Answers
Answer:
21Step-by-step explanation:
Product of eight thirds and nine:
8/3×9 = 24Three less than the product of eight thirds and nine:
24 - 3 = 2118 more than the product of k and 5 Evaluate the expression for the value of the variable, k : 7 Please type your answer in the box below. NUMBERS ONLY!
Answers
Answer:
The Answer Is 125.
Step-by-step explanation:
As, 18 More Than K Means
18 More Than 7
So, It's 25
Then Evaluate 25 With 5
It's 25(5)
Or 25 × 5
It's 125.
write an expression for the number of floors the building can have for a given Building height. So what the variable in your expression represents?
Answers
Then,
yx=h
Video Store A charges $8 to rent a video game for one week. Although only members can rent from the store, membership is free. Video Store B charges only $4 to rent a video game for one week. Only members can rent from the store and membership is $84 per year. After how many video game rentals will the total amount spent at each store be the same?
a) Write an equation to model the problem. Let x represent the number of video game rentals.
b) Solve the equation to find to answer the question. (Note: Include the units , which in this case is "rentals"; for example, if you find of a solution of 29, write: 29 rentals.)
Answers
Answer:
21 rentals
Step-by-step explanation:
Video Store A = 8x
Video Store B = 84 + 4x
x = number of video game rentals.
After how many video game rentals will the total amount spent at each store be the same?
Video Store A = Video Store B
8x = 84 + 4x
8x - 4x = 84
4x = 84
x = 84/4
x = 21 rentals
2. Roman's allowance a week is P250.75. If he will save p50.00 and
equally divide the rest into 5, how much will he spend a day?
Answers
Answer:
50.15
Step-by-step explanation:
250.75-50=200.75
200.75/5=50.15
Which of the following graphs shows a pair of lines that represents the equations with the solution (4, −1)? (1 point)
pictures down below
Answers
Answer: i think the last one is the correct answer
hope this was correct
Step-by-step explanation:
what is the answer please i need help
Answers
Answer:
Step-by-step explanation:
x - 0.35x = (1 - 0.35)x
= 0.65x
1.00 (-)
0.35
0.65
Helppp (7th grade)
_inches
Answers
Answer:
h = 8 inches
Step-by-step explanation:
Since these shapes are similar and one side of the bigger shape is double the other side (44 is the double of 22), to find side h, you have to multiply 4 by 2 (It's the same relationship between the two sides of similar shapes). 4 times 2 is equal to 8, which is your answer.
Write the equation in standard form using integers.
Answers
Answer:
it would be:
3x-4y=-8
Step-by-step explanation:
The volume of a cuboid is 189cm3.
The length is 7cm and the width is 9cm.
Work out the height of the cuboid.
Answers
Volume of cuboid:
Let h cm be the height of the cuboid.
7 x 9 x h = 189
63h = 189
h = 189/63
h = 3
The height of the cuboid is 3 cm.
Show your work to get full credit. Solve the following problem with any method you want.
1.5 x 32
Answers
Answer:
48
Step-by-step explanation:
1.5
x 32
X 32
———
30
+ 450
———
48.0
The number of children x, belonging to each of eight families registering for swimming was 3,2,6,3,4,2,5,6. Find the mean, x. (Give answer correct to 2 decimal places.)
Answers
The mean number of children per family is 3.88.To find the mean (average) of the number of children in the eight families, we sum up the number of children and divide by the total number of families.
Given the number of children in each family:
3, 2, 6, 3, 4, 2, 5, 6
Step 1: Sum up the number of children:
3 + 2 + 6 + 3 + 4 + 2 + 5 + 6 = 31
Step 2: Divide by the total number of families (which is 8 in this case):
31 / 8 = 3.875
Rounding the mean to two decimal places, we have:
Mean = 3.88
Therefore, the mean number of children per family is 3.88.
To know more about mean :
https://brainly.com/question/31101410
#SPJ2
One equation in a system is y = 1/2x - 2
a. Write a second equation so that the system has one solution.
b. Write a second equation so that the system has no solution.
c. Write a second equation so that the system has indefinitely many solutions.
Answers
B) y= 1/2x+4
C) y= 1x-4
Please help me
What type of association does the graph show between x and y?
Answers
Answer:
Linear positive association
When bungee jumping, you reach a positive elevation on your first jump that is 50 1/6 feet greater than the elevation you reach on your second jump. Your change in elevation on the first jump is -200 2/3 feet. What is your change in elevation on the second jump?
Im giving 50 points cause i really need help
Answers
Answer:
-301/2=−150.5
Step-by-step explanation:
Hope this helps.
I need help with these questions
Answers
Answer:
(2nd question, asking about height)
8cm or 0.08m
Step-by-step explanation:
1.43m - 143cm
(1m = 100cm)
143cm - 135cm = 8cm
Answer:
445mm & 44.5cm
Step-by-step explanation:
155mm - 15.5cm
(1mm = 0.1cm)
15.5 + 16 + 13 = 44.5cm
44.5cm - 445mm
Answer:
1) 18.3m-16.5m=2.8m
2) 1.43m-135cm=0.81m
3) 0.16m+1.55m+0.13m=0,84m or 84cm
4)-
5)-
Step-by-step explanation:
2)cause 135cm is 1.35m
y = x^2 + 4x - 5
I need to know if it is maximum or minimum , the axis of symmetry , the vertex , domain , range
Answers
Answer:
i honestly have no idea
Step-by-step explanation:
Answer:
The coefficient of x^2 is positive (here it is 1) so we have a minimum.
Rearrange it to the form (x-a)^2 + b:
(x+2)^2 - 4 - 5 = (x+2)^2-9
This means the minimum, or vertex, is at (-2,-9)
Parabolas are symmetrical horizontally, so the axis of symmetry is the vertical line at the minimum, which is x = -2
The domain is all numbers
The range is y >= -9
What is the value of x?
What is the measure of angle A?
What is the measure of angle B?
What is the measure of angle C?
Answers
5x + 25 = 180
5x = 155
x = 31 degrees
2. A = x + 10
A = 31 + 10
A = 41 degrees
3. B = 2x + 20
B = 62 + 20
B = 82 degrees
4. C = 2x - 5
C = 62 - 5
C = 57 degrees
Answer:
∠A = 41
∠B = 82
∠C = 57
Step-by-step explanation:
Sum of all the angles of triangle = 180
x + 10 + 2x -5 + 2x + 20 = 180
x +2x +2x + 10 - 5 +20 = 180 {Combine like terms}
5x + 25 = 180
5x = 180 - 25
5x =155
x = 155/5
x = 31
∠A = x + 10 = 31 + 10 = 41
∠B = 2x +20 = 2*31 + 20 = 62 + 20 = 82
∠C = 2x - 5 = 2*31 - 5 = 62 - 5 = 57
Please anyone need help on this
Answers
Answer:
2√5
good luck, i hope this helps :)
1
Rectangle RSTU is reflected across the y-axis to form rectangle R'ST'U'.
Y
.
R
S
7
3
2
2
1
-1
-2
U
T
-
Which statement is NOT true?
A
The corresponding angles of rectangle RSTU and rectangle R'ST'U' are
congruent.
B
The perimeter of rectangle RSTU is greater than the perimeter of rectangle
R'S'T'U'.
с
The corresponding sides of rectangle RSTU and rectangle R'S'T'U' are
congruent.
D
Rectangle RSTU is similar to rectangle R’ST'U'.
Answers
Answer:
c
Step-by-step explanation:
What are the 3 equivalent fraction 75/100
Answers
Answer:
3/4
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator. GCD of 75 and 100 is 25.
75 ÷ 25100 ÷ 25.
Reduced fraction: 34. Therefore, 75/100 simplified to lowest terms is 3/4.
Answer:
three equivalent fractions to 75/100 are 3/4 , 6/8 , & 12/16
How do you find the term in a Aromatic sequence
Answers
n
= the term that you want to find
a
1
= first term in the sequence
n = the term position (ex: for 5th term, n = 5 )
d
d = common difference of any pair of consecutive or adjacent numbers
Answer:
An =A1+(n-1)d
Step-by-step explanation:
the nth term of an arithmetic sequence is :
An =A1+(n-1)d ....a common difference is : d
A1 is the first term
What is the area of this figure ?
Answers
Answer:
52920cm
all you have to do is multiply all the numbers together.
sorry if its wrong.
but hope it helps.
have a great day.
Answer:
102
Step-by-step explanation:
area of the square (36) plus the area of the trapezoid (66)
Find the unit rate.
jacob walks 3 1/2 miles in 1 3/4 hours
how many miles jacob can walk per hour
Answers
15/23 - 5/23
lets see who can solve
Answers
Answer:
10/23
Step-by-step explanation:
15/23 - 5/23 = 10/23(Ans)
Answer:
10/23
Step-by-step explanation:
(15/23-5/23) L. C. M = 23
15-5=10
=10/23
Can someone help me please. I will cash app you or PayPal if you have , or any other way to pay you. Thanks.
Answers
Answer:
All rewrited would be 1. 10 to the power of three would be simplified into 1,000/1,000. 2 to the power of 5 would be simplified into 32/32. The repeated multiplication for 10 to the power of three would be 10 x 10 x 10 / 10 x 10 x 10. 2 to the power of 5 in repeated addition would be 2 x 2 x 2 x 2 x 2 / 2 x 2 x 2 x 2 x 2
Classify the numbers. Some numbers may belong in more
than one box.
Answers
Answer:
there's no attachment? can you re list
PLEASE HELP ME ILL MARK YOU BRAINLY!!
Answers
Answer:
No
Step-by-step explanation:
no because it doesn't pass the horizonal line test
a ratio table! need help asap!!! Time (secs): | 4 | 8 | 12 | 16 | 20 | Distance (miles): - the bottom row is empty and i need help to fill it - #b
Answers
A shipping tube is shaoed like a triangular prismi
Answers
Answer:
please be more specific
Step-by-step explanation:
