Answer:
144
Step-by-step explanation:
The total area of the first floor is required.
The area of the floor is 144ft^2.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
given that,
A tiny house has a length of 12 feet. The width of the kitchen is 9 feet and the width of the bathroom is 3 feet. The expersion 12(9+3) represents the total area in square feet.
we have,
The length of the room is 12 feet
Width of the room is:
9+3 = 12
Area is the product of length and width
A = 12(9+3)
Applying the distributive property
A = 12(9+3)
= 12 * 9 + 12 * 3
= 108 + 36
= 144
The area of the floor is 144ft^2.
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Line segment JL is an altitude in triangle JKM. Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth. JKM is a right triangle because KL + LM = 15.3. JKM is a right triangle because KL + LM = 18.2. JKM is not a right triangle because KL + LM ≠ 15.3. JKM is not a right triangle because KL + LM ≠ 18.2.
Answer:
JKM is not a right triangle because KL + LM ≠ 15.3.
Step-by-step explanation:
Given
[tex]JK = 13[/tex]
[tex]JL = 5[/tex]
[tex]JM = 8[/tex]
Required
Determine if JKM is right-angles or not
Calculate length KL using Pythagoras theorem.
[tex]JK^2 = JL^2 + KL^2[/tex]
[tex]13^2 = 5^2 + KL^2[/tex]
Collect like terms
[tex]KL^2 = 13^2 - 5^2[/tex]
[tex]KL^2 = 144[/tex]
[tex]KL = 12[/tex]
Calculate length LM using Pythagoras theorem.
[tex]JM^2 = JL^2 + LM^2[/tex]
[tex]8^2 = 5^2 + LM^2[/tex]
Collect like terms
[tex]LM^2 = 8^2 - 5^2[/tex]
[tex]LM^2 = 39[/tex]
[tex]LM = \sqrt{39[/tex]
[tex]LM = 6.2[/tex]
[tex]KM = KL + LM[/tex]
[tex]KM = 12 + 6.2[/tex]
[tex]KM = 18.2[/tex]
If JKM is right-angled, then:
[tex]KM^2 = JK^2 + JM^2[/tex]
[tex]KM^2 = 13^2 + 8^2[/tex]
[tex]KM^2 = 233[/tex]
[tex]KM = \sqrt{233[/tex]
[tex]KM = 15.3[/tex]
[tex]15.3 \ne 18.2[/tex]
i.e
[tex]KL + LM \ne 15.3[/tex]
Hence: JKM is not right-angled
Answer:
C-JKM is not a right triangle because KL + LM ≠ 15.3
Step-by-step explanation:
if right mark as brainliest
Mr. Lenny has graded 25% of his 200 students papers. How many papers did he finish
grading?
A
50
B.
60
с
25
D
300
Answer:
50 papers
Step-by-step explanation:
50% of the 200 papers would be 100 papers graded because half of 200 is 100.
25% would be 1/4 of the 200 papers.
So you have to divide.
200 divided by 4 is 50.
Therefore 50 papers have been graded so far.
In slope-intercept form, what is the equation of the line containing the points (−1, 2) and (2, −1)?
Answer:
y=-x+1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-2)/(2-(-1))
m=-3/(2+1)
m=-3/3
m=-1
y-y1=m(x-x1)
y-2=-1(x-(-1))
y-2=-(x+1)
y=-x-1+2
y=-x+1
In the morning, an outdoor thermometer shows a temperature of -8°C. Later that afternoon, the temperature drops an additional 4°C. What is the temperature in the afternoon?
Answer:
- 12°C
Step-by-step explanation:
Given :
Temperature in the morning = - 8°C
In the afternoon, temperature drops an additional 4°C
A temperature drop mean a reduction in the initial temperature :
Afternoon temperature = morning temperature - 4°C
Afternoon temperature = - 8°C - 4
After oon temperature = - 12°C
if -1 is a root of f(x), which of the following must be true
A. a factor of f(x) is (x-1)
B. a factor of f(x) is (x+1)
C. both (x-1) and (x+1) are factors of f(x)
D. neither (x-1) nor (x+1) is a factor of f(x)
Option (B) is correct, A factor of f(x) is x+1.
What is function?A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
Given that,
Function f(x) has one root, which is -1.
Implies that,
for the function f(x),
x = -1,
or (x+1) = 0,
So, (x+1) is the factor of the function f(x).
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Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
Round your answer to the nearest tenth if necessary.
O
S
N
10
L
13
M
R
P
56
Q
Beth is buying 2.6 pounds of coffee beans. If the coffee costs 6.79 per pound, how much will she pay? Round to the nearest cent..
Answer:
$17.65
Step-by-step explanation:
hope this helped!!
True or false ? Is f(x) a function
Answer:
true
Step-by-step explanation:
What is the area of these
Answer:
g=130 h=22
Step-by-step explanation:
bxh÷2
hope this helps
5x-3=121
to
5x=-36
Explain how the first one ended up to be the second one.
Answer:
you may have done this wrong
Step-by-step explanation:
5x-3=121
add 3 on both sides
5x=-36<------what you did was wrong
you should have ended up with...
5x=124
divide by 5 on both sides
x=24.8
6, 18, 54, 162
What is the common ratio
Answer:
3
Step-by-step explanation:
The common ratio is 3 because 6 x 3 = 18 , 18 x 3 = 54 , and 54 x 3 - 162
A raft travels downriver at a rate of 6 miles per hour. The total distance d in mile that the raft travels is equal to the rate times the number of hours h. Dependent Variable: Independent variable: Equation:
Answer:
Dependent variable: total distance (d)
Independent variable: number of hours (h)
Equation: d = 6h
Step-by-step explanation:
In this case given, the dependent variable, total distance (d), is dependent on the independent variable, number of hours (h). This is because, a change in the value of h leads to the change in the value of d. In order words, total distance (d) is a function of the number of hours (h).
Therefore:
Dependent variable: total distance (d)
Independent variable: number of hours (h)
Rate: 6 miles/hr
Equation: d = 6h
If 12 gallons of gas cost 37.50, how much would 16.5 gallons cost ? Which proportion could be used to solve this problem?
Answer:
$51.56
Step-by-step explanation:
Given data
We are given that
12 gallons of gas cost $37.50
Required
The cost of 16.5 gallons
If 12 gallons of gas cost 37.50
then 16.5 gallons will cost x
cross multiply
12x= 16.5*37.5
12x= 618.75
x= 618.75/12
x= $51.56
Hence 16.5 gallons will cost $51.56
Taylor's mom said he and his brother could go to a movie while she went shopping,
She dropped them off at the theater at 1:45 and said she would be back at 4:00 to get
them. They had three choices of movies. Which movie could they see and be done
by the time their mom came to get them? Show all your work. Hint: Remember that
there are 60 minutes in an hour.
Length
(Including Previews)
Movie
Start Time
1:55
130 minutes
Beetle goes to Town
2:00
125 minutes
Arctic Adventure
Answer:
beetle goes to town and artic adventure both end at 3:25 so really it's a gamble
Step-by-step explanation:
Hi can you please help I’ve been stuck on this question
9514 1404 393
Answer:
20 meters
Step-by-step explanation:
Using the formula for the area of a rectangle, fill in the given information and solve for the unknown.
A = LW . . . . . . . . area is length × width
80 m² = L·(4 m)
(80 m²)/(4 m) = L = 20 m . . . . . . . divide by 4m (the coefficient of L)
The tarp is 20 meters long.
if The quotient of three times a number and 4 is no more than 13.
Answer:
3x + 4 ≤ 13
Step-by-step explanation:
3(4x+6)=x-4
Pls look at the picture for the rest of the question thanks!
Answer:
(x = −2) sentence below
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(4x+6)=x−4
(3)(4x)+(3)(6)=x+−4(Distribute)
12x+18=x+−4
12x+18=x−4
Step 2: Subtract x from both sides.
12x+18−x=x−4−x
11x+18=−4
Step 3: Subtract 18 from both sides.
11x+18−18=−4−18
11x=−22
Step 4: Divide both sides by 11.
11x
11
=
−22
11
x = −2
I used distributive property because it allows me to simply the equation when dealing with the unknown value of x.
Ursula surveyed 50 classmates about their favorite ice cream flavors. Each classmate chose one flavor. The results are shown in the circle graph. Favorite Ice Cream Flavors Coffee 14% Chocolate 42% Strawberry 18% Vanilla How many more of Ursula’s classmates chose chocolate than chose vanilla?
Answer:
3
Step-by-step explanation:
Answer:
answer would be 3!
Step-by-step explanation:
view the problem, it could be adding or subtracting. your welcome! c:
Expand and simplify 4(2p+7)+6(8q-2)
Answer:
8 p + 48 q + 16
Step-by-step explanation:
1. How many sheets can a copier reproduce in 5 min. if it makes a copy every 1 ⅑ sec.?
Answer:
4.5 or just say 4 if your gonna round it up. hope this helped :)
Step-by-step explanation:
Find the GCF of 5y5 and 50y2.
Answer: [tex]5y^2[/tex]
Step-by-step explanation:
Given
[tex]5y^5\ \text{and}\ 50y^2[/tex]
GCF or HCF of the two is the highest common factor
[tex]\Rightarrow 5y^5=5\times y^2\times y^3\\\Rightarrow 50y^2=5\times y^2\times 10[/tex]
It is clear GCF is [tex]5y^2[/tex]
Factorise this pleasee
x2 + 4x -45
Answer:
(x - 5)(x + 9)
Step-by-step explanation:
The model is shaded to represent the remaining one-half of a cake. Three friends will
each receive an equal amount of the remaining cake until it is all gone.
Cake
Which equation can be used to determine the fraction of the whole cake each friend
will receive?
Answer:
jsjshshshhsgdhshdhdhddhshggzggzgzhshsggggghzhgzgzgdgxgshdhdhgd
Step-by-step explanation:
h
Answer:
h
Step-by-step explanation:
What is m∠G to the nearest tenth?
Answer: The answer is 133.4 degrees.
Sorry if it’s wrong, and hopes this is helps.
The measure of the angle ∠G to the nearest tenth will be 31.6°.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The length of the perpendicular is 28.2 units and the length of the base is 45.8 units, Then the measure of the angle ∠G is calculated as,
tan G = Perpendicular / Base
Substitute the value, then the angle is given as,
tan G = 28.2 / 45.8
tan G = 0.6157
G = 31.6°
The measure of the angle ∠G to the nearest tenth will be 31.6°.
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What is the value of the y-intercept of the graph f(x)=−6⋅7.5x?
Enter your answer in the box.
y =
Answer:-6
Step-by-step explanation:
The value of the y-intercept is 0.
y = 0
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the given function is:
f(x) = -6 x 7.5x
We can rewrite this in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept:
f(x) = -6 x 7.5x + 0 (since the x-term has a coefficient of 0)
f(x) = -45x + 0
So, the slope of the line is -45 and the y-intercept is 0.
Therefore,
The value of the y-intercept is 0.
y = 0
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Relationship a is defined by the equation y=9x some values of relationship b are (0,0)(3,34.5)(5,57.5)(8,92) both relationships have a direct proportion between x and y. The rate of change of relationship b is how many units greater then the rate of change of relationship a
Answer:
The rate of change of relationship 'b' is 2.5 times greater than the rate of change of relationship 'a'
Step-by-step explanation:
The given parameters are;
The function representing relationship 'a' is y = 9·x
Some values of relationship 'b' are;
(0, 0), (3, 34.5), (5, 57.5), and (8, 92)
For direct proportionality of relationship 'b' we have;
y = k₂·x
∴ k₂ = y/x
∴ k₂ = 34.5/3 = 23/2
57.5/5 = 23/2
92/8 = 23/2
k₂ = 23/2
Therefore, the direct proportionality relationship of relationship 'a' is y = 9·x
∴ k₁ = 9
Therefore, the rate of change of relationship 'b' is k₂ - k₁ = (23/2) - 9 = 2.5 times greater than the rate of change of relationship 'a'.
No clue what I am doing
Answer:
1. 1=18°, 2=90°
2. 1=85°
3. 1=97°
4. 2=83°
5. 3=49°
6. 1=94°
7. 4=45°
8. 3=65°
9. 2=79°
10. 5=73°
11. 6=147°
12. 1=26°
13. 2=32°
Step-by-step explanation:
1. all angles of a triangle equal 180. 2 is 90 degrees because you can look across to find the symbol. Then you subtract 180 by 72 and 90 to get 18.
2. do the same thing as last time, 180 minus 40 and 55.
3. In order to figure this out, you need to have the angle 2. One you have 83, angles like this, together will add up to 360 if you put 2 of them together. 83×2=166. 360-166=194. 194/2=97.
4. To figure this out, you find the angle across from it because those are always the same. Follow the same process to subtract 39 and 58 from 180 to get 83.
5.Now that you have the angle 2 you can figure this one out as well, again, follow the process of subtracting the two opposite angles from 180 to get 49.
(This is taking really long to explain so if you have questions just ask.)
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
They are vertical
x=32.5
Step-by-step explanation:
75 + 4x-25 = 180
4x = 180+25-75
4x=130
x=32.5
Javier and his family drink 3 gallons of milk each week. Javier drinks 5 quarts of milk each week. How many pints of milk does the rest of his family drink during the week?
A.12
B.14
C.7
D.10
Answer:
So basically Javier and his family drink a total of 12 quarts of milk each week because 1 gallon of milk is 4 quarts so Javier drinks 5 quarts 12-5=7
which leaves 7 quarts for his family. 2 pints are equal to a quart therefore 14 pints are left for his family
Calculate the volume of the prism by trst finding the total
cubes that will fill it. There are 8 half-unit cubes in every unit cube,
1 1/4
IN
22
A. Number of half-unit cubes = 10
V= 12 cubic units
B. Number of half-unit cubes = 10
V= 5 cubic units
C. Number of half-unit cubes = 5
V=2 cubic units
D. Number of half-unit cubes = 5
V=12 cubic units