The length of the diagonal of the room is approximately 21.2 feet when rounded to the nearest tenth.
Given information:
A square room in Denise's house measures 15 feet by 15 feet.
Since the room is square, the diagonal forms the hypotenuse of a right triangle whose legs are the sides of the square.
Each side of the square measures 15 feet, so we have:
d² = 15² + 15²
Simplifying:
d² = 2(15²)
d² = 2(225)
d² = 450
Taking the square root of both sides:
d ≈ 21.2
To learn more about the square;
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The area of a parallelogram is 42 square inches. The base of the parallelogram is 6 inches. What is the height of the parallelogram? Explain how you can use the formula for the area of a parallelogram to solve the problem.
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Use the relation 2x+y=10 to find the missing values.
Answer:
x= 5 -y/2
y=10-2x
Step-by-step explanation:
solve for Y solve for X
2x + y= 10 2x+ y=10 subtract y from each side
-2x -2x -y=10 -y
y=10-2x 2x=10 -y
2x/2= 10 -y/2 multiply both sides by 2
x= 5 - y/2
SOMEONE HELP ME!!!
Find the distance between points P(7, 4) and Q(1, 2) to the nearest tenth.
What is the midpoint of PQ?
Answer: the distance between the points are -17
During a promotional weekend, a state fair gives a free admission to every 179th person that enters the fair. On Saturday, there were 8,633 people attending the fair. On Sunday, there were 7,400 people attending the fair. How many people received a free admission over the two days?
Answer:
89
Step-by-step explanation:
Given that,
During a promotional weekend, a state fair gives a free admission to every 179th person that enters the fair.
No of people attending the fair on Saturday is 8,633 amd No of people attending the fair on Sunday is 7,400.
We need to find the no of people that received a free admission over the two days.
Dividing 8,633 by 179 gives 48 as quotient and 41 as remainder. It means on Saturday 48 people entered for free.
Dividing 7,400 by 179 gives 41 as quotient and 61 as remainder. It means on Sunday 41 people entered for free.
Total no of people,
T = 48 + 41
T = 89
Hence, there are 89 people for free entries.
x+5/2=10 linear equations step by step explantion
See attachment for math work and answer.
It costs twelve dollars to get in to the fair. Tickets for rides cost extra and are d dollars each
If Tyra buys 20 tickets, how much would it cost her for the fair?
20 d - $12
$12 d + 20
$12-20 d
$12 + 20 d
Answer:
$12 + 20d
Step-by-step explanation:
Maxine bought 3 bags of oranges and a bag of apples. The bag of apples cost $4. Brody bought 2 bags of oranges and a cake. The cake cost $9. Maxine and Brody spend the same amount of money on their shopping trips. Which equation represents the cost of each bag of oranges (c)?
Answer:$4.30, if your rounding but if not $4.33
Step-by-step explanation:
What is the difference between 5x +3 and 5(x+3)?
Step-by-step explanation:
for 5(x+3) you have to use the distributive property to find its standard form because it has parenthesis:
this would give you 5x+15 which is not the same as 5x+3.
Someone plz help me I’ll give branliest!!
The vertex of the parabola shown is (4, -2)
In general, the vertex is (h,k)
So (h,k) = (4,-2) meaning h = 4 and k = -2
The equation of this parabola is y = (x-4)^2 - 2
Answer:
-2 is the correct option you're looking for.
Plz Help :/ and Thank you...
banana good for you
(i made this in 3d paint btw)
Answer:
25c = t ??
Step-by-step explanation:
solve for x 8(x+9)= -9x+21
Answer:
x = -3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
-3
Step-by-step explanation:
Evaluate.
2⋅((42)−1)
Answer:
Hi there!
Your answer is:
Question was unclear! See below for answer possibilities!
Step-by-step explanation:
IF "-1" MEANS MULTIPLY BY NEGATIVE 1
2((42) -1 ))
2(-42)
-84IF "-1" MEANS SUBTRACT 1
2((42)-1)
2(41)
82Hope this helps
Consider the function represented by the equation y-6x-9=0. Which answer shows the equation written in
function notation with x as the independent variable?
YUX) = 6x+9
10 = x+
10 = 6 +9
Answer:
F ( x ) = ( 6 x +9 )
Step-by-step explanation:
Change to slope-intercept form y = mx + b:
y - 6x - 9 = 0
y = 6x + 9
As function notation where x is the independent variable: f(x) = 6x + 9
Find the value of p. p − 1 = 5 p + 3p − 8
Answer:
p = 1
Step-by-step explanation:
[add like terms]
p - 1 = 8 p - 8
[add 8 to both sides]
p + 7 = 8 p
[subtract p from both sides]
7 = 7 p
[divide each side by 7]
p = 1
Answer:
P=1
Step-by-step explanation:
collecting like terms we have
p - 5p - 3p = -8 + 1
-7p = -7
divide both sides by -7
p = 1
The measure of two angles are (5x + 24)° and (9x - 17)°. What is the value of x if these angles are congruent?
Answer:
the answer is 10.25
Step-by-step explanation:
Ben and his friends are having a tv marathon, and after 4 hours they have finished 5 episodes of the show. About how long will it take them to complete the show, which has 24 episodes.
Answer:
episodes
Step-by-step explanation:
you have finished 20 episodes in 16 hours and 25 episodes in 20 hours, so if the answer is a whole number, it will take a bit under 20, so 19 hours!
The cost to rent a rug-cleaning machine from the supermarket is $23 per day. The supermarket charges a check-out fee of $45 for the rental. Tristanne spent $137 to rent the rug-cleaning machine. If d represents the number of days Tristanne rents the machine, which equation can be used to find the value of d?
23 d = 137
23 d + 45 = 137
45 d = 137
45 d + 23 = 137
Answer:
23d + 45 = 137
Explanation:
Since it is $23 per day, that dollar amount must be associated with a variable that multiples it per day that it is rented. Finally, you need to add the one time $45. This equation can then be used to find how many days it was rented for.
23d + 45 = 137
23d = 92 (Subtract 45 from both sides)
d = 4 (Divide by 23 on both sides)
The rug-cleaning machine was rented for 4 days. You found this using the equation: 23d + 45 = 137
Answer:
its b
Step-by-step explanation:
i got it correct edge2020
Which gives the correct domain and range for the following relation: (-3, 2) , (0, 4) ,
(-3, 0) , (1, 4)
A. Domain: {-3, 0, 4}, Range: {2, 4}
B.
Domain: {-3, 0, 1}, Range: {0, 2, 4}
C.
Domain: {-3, 0, 4}, Range: {0, 2, 4}
D.
Domain: {-3, 0, 1}, Range: {2, 4}
What does an expression never have.
A.variables
B.numbers
C.equals sign
Answer:
C
Step-by-step explanation:
An Expression has no equal sign, because it is not complete. Yet an equation does.
HELP ASAP!!
Solve the equation x² = 5. Round to the nearest tenth.
Five days a week, from Monday to Friday, Betsy takes the bus to school. Each day she has a probability of 90% of taking bus 1. If she does not take bus 1 then she will take bus 2.
What is the probability that she will take bus 1 on all five days?
Answer:
0.59
Step-by-step explanation:
Given that :
Probability of taking bus 1
P(b1) = 90% = 0.9
What is the probability that she will take bus 1 on all five days?
Five days from Monday to friday:
On Monday : p(b1) = 0.9
On Tuesday : p(b1) = 0.9
On Wednesday : p(b1) = 0.9
On Thursday : p(b1) = 0.9
On Friday : p(b1) = 0.9
Here we have an independent event:
Hence, probability of taking bus 1 on all five days :
(0.9 * 0.9 * 0.9 * 0.9 * 0.9)
= 0.59049
= 0.59
32 ounces of maple syrup for $3.99 OR 48 ounces of syrup for $4.99
What is the answer? Please explain how to answer it too.
Answer:
x=15
Step-by-step explanation:
8x=120
8x/8=120/8
x=15
10 to power 7 decimal
Answer:
10 mil
Step-by-step explanation: 10x10x10x10x10x10x10= 10,000,000
9a4 + 12a²b2 + 464
Which of the following is equivalent to the
expression shown above?
4
A) (3a2 +2623
B) (3a + 2b)*
C) (9a+4622
D) (9a + 4b)4
Answer:
c
Step-by-step explanation:
How many eighteens are there in 8/9?
Answer:
4/81
Step-by-step explanation:
8/9 divided by 18
What can you put between a 3 and a 4 so that the number is greater than 3, but less than 4?
Find the distance between the two points in simplest radical form.
(-4,-3) and (5,9)
Anybody know anything bout Distance formula?and could maybe help with a couple questions please!
Step-by-step explanation:
Distance = √(5--4)^2 + (9--3)^2
= √ 9^2 + 12^2
√81 + 144 = √225=15
Answer:
15
Step-by-step explanation:
15
what is 2 1/2 ÷ 1/3
Answer:
15/2
or 7.5
or 7 1/2
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
Answer:
Exact Form:
15/2
Decimal Form:
7.5
Simplified:
7 1/2
Step-by-step explanation:
Please help me with number 10