Answer:
The distance between point A and point B is 5 units
Which expression has the same sum as the one below?
Negative 15 + 6
15 + 6
Negative 6 + (negative 15)
15 + (negative 6)
6 + (negative 15)
Answer: 6+(-15)
Step-by-step explanation:
6+(-15) = -9
Answer:
6+(-15)
Step-by-step explanation:
:)
Rectangle EDGH is similar to rectangle JKLM. Which proportion can be used to find the value of x?
A. 2/12 = 5/x
B. 5/2 = x/12
C. 5/12 = 2/x
D. 12/5 = 2/x
Answer:
C. 5/12 = 2/x
Step-by-step explanation:
There's no explanation, you have to study the proportion
Simplify -3/4÷2/-8 . (1 point)
Answer:
48
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
[tex]\frac{-3}{4}\div\frac{2}{-8}=[/tex]
[tex]\frac{-3}{4}\times \frac{-8}{2}=[/tex]
[tex]\frac{-3\cdot -8}{4\cdot 2}=[/tex]
[tex]\frac{24}{8}=[/tex]
[tex]\boxed{3}[/tex]
Hope this helps!
3x+2x+7=8x+8
solve for x
Answer:
x = [tex]\frac{-1}{3}[/tex]
Step-by-step explanation:
The bold side will be the "first side" and the italics will be the "second side."
3x + 2x + 7 = 8x + 8
First, you add the variables from the first side of the equal sign together.
3x + 2x = 5
Now the equation becomes: 5x + 7 = 8x + 8
Then you're going to take the 7 from the first side and subtract it from the 8 on the second side.
8 / 5 x + 1
8-7 = 1
Now the equation becomes: 5x = 8x + 1
Subtract 8x from both sides
-3x = 1
Divide both sides by -3
x = [tex]\frac{-1}{3}[/tex]
One of the rooms is in the shape of the rectangle. It is a gift shop. 25% of the gift shop will be dedicated for the cashier and emloyees. If the
length was 12 yards and the width was 7 yards, explain how you would find the area dedicated for just the employees and cashier.
There are multiple ways to solve, so the more ways you solve, the more points you will earn, 4 point question.
Answer:
21 square inches
Step-by-step explanation:
Given: The length of a gift shop was 12 yards and the width was 7 yards. 25% of the gift shop will be dedicated to the cashier and employees.
To find: area dedicated to just the employees and cashier
Solution:
Length of a gift shop (rectangle) = 12 yards
Breadth of a gift shop (rectangle) = 7 yards
Area of a gift shop (rectangle) = Length × Breadth = 12 × 7 = 84 square inches
Area dedicated to the employees and cashier = 25% of the gift shop
=[tex]\frac{25}{100}(84)=21[/tex] square inches.
True or false
Based on the information in the diagram abc ≅ def
Answer:
The correct answer is B.
Dani gets a student loan to go to college. If he pays $750 in interest at a rate of 3% after 10 years, how much must the loan have been for originally?
Answer:
The loan must have been $2500 originally. i think
3. Which statements about graphed lines are true? Select all that apply.
A. A vertical line has an undefined slope.
B. The equation y = mx + b can be used to describe the relationship of a vertical
line.
C. A line represented by x = -8 is a function.
D. A horizontal line has a slope of zero.
Answer:
A, D
Step-by-step explanation:
b. mx+b can't describe the relationship of a vertical line since it's slope is undefined
c. x = -8 shows no relation to anything so it isn't a function
hopefully that works
Nathan has a rectangular plot of grass in his backyard that has dimensions of meters in width and meters in length.
What is the total area of the plot of grass? Recall that the area of a rectangle is the width multiplied by the length.
square meters
square meter
Answer:
use the area of a rectangle to calculate for the total area of the rectangular grass plot
area = length × width
Step-by-step explanation:
The grass plot in Nathan's backyard has a rectangular shape. The dimensions of the sides are in meters . The width and the length are in metres . Since the grass plot is rectangular , the area of the plot can be computed using the formula for area of a rectangle.
Area of a rectangle = L × W
where
L = length
W = width
The area of a rectangle is the width multiplied by the length. For example if the width of the grass plot is 100 meters and the length is 200 meters .The area of the grass rectangular plot will be
area = L × W
area = 200 × 100
area = 20000 m²
The unit of the area will be in square meters (m²)
Answer:
the correct answer is B on edge
Step-by-step explanation:
I need help plz plz plz :)
Answer:
multiply the value of x by 8
Please help ill mark brainliest for the correct answer
Answer:
a. 1007.27
b. 2895.29
c. 2714.34
d. 111.84
Step-by-step explanation:
The function E(d)=0.25d√ approximates the number of seconds it takes a dropped object to fall d feet on Earth. The function S(d)=0.2⋅E(d) approximates the number of seconds it takes a dropped object to fall d feet on the sun. How long (in seconds) does it take a dropped object to fall 80 feet on the sun? Round your answer to the nearest hundredth.
Answer:
0.45 second
Step-by-step explanation:
The number of seconds it takes a dropped object to fall d feet on Earth is given as:
E(d)=0.25√d
the number of seconds it takes a dropped object to fall d feet on the sun is given as:
S(d)=0.2⋅E(d)
Therefore
S(d)=0.2 × 0.25√d = 0.05√d
Given that it take a dropped object to fall 80 feet on the sun (i.e d = 80 feet), to calculate the time in seconds we use:
S(d) = 0.05√d
S(d) = 0.05 × √80 = 0.05 × 8.944 ≈ 0.45 s
It takes 0.45 second for a dropped object to fall 80 feet on the sun
Which polygon has an interior angle sum of 1260°? A polygon has 7 sides. A polygon has 8 sides. A polygon has 9 sides. A polygon has 10 sides.
Answer:
9 sides
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Equating to 1260 gives
180° (n - 2) = 1260 ( divide both sides by 180 )
n - 2 = 7 ( add 2 to both sides )
n = 9
Thus a polygon with 9 sides
A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain. The correct option is C.
What is a polygon?A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The sum of all the interior angles of an 'n' sided polygon is given by the formula,
Sum of all the interior angles = (n-2) × 180°
Given that the sum of the interior angle is 1260°. Therefore, the number of sides n can be calculated as,
1260° = (n-2) × 180°
7 = n - 2
n = 7 + 2
n = 9
Hence, the number of sides the given polygon has is 9.
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simplify need help pls
what is the radius of a circle with a diameter of 36ft?
Answer: r = 18 ft
Step-by-step explanation: To get the radius, divide 36ft by 2.
The radius of the circle is 18 ft.
What is a Circle ?A circle is a round shape that has all points in the plane equidistant from a single point known as Center.
The diameter is a line segment which has one end on the circumference of the circle and passes through the center connecting to the second point of the circle on its circumference.
Radius = Diameter /2
It is given in the question that
diameter of circle = 36ft
Radius = ?
Radius = 36/2
Radius = 18ft
Therefore the radius of the circle is 18 ft.
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Please help me with answer I need help
Answer:
5+10 and earned is positive IF is multiple choice
Step-by-step explanation:
because he is getting money not loosing money
Answer:
5 + 10
Step-by-step explanation:
you just add the earnings
lin and diego are discussing two expressions x^2 and 2^x
Answer:
The expression a^b
means that we multiplicate the number a by itself b times.
So x^2 means that we multiplicate the number x by itself 2 times:
x^2 = x*x
and 2^x means that we multiplicate the number 2 by itself x times
2^x = 2*2*2*....*2 (if you count them, you should see x times the number 2)
for example, if x = 4, we will have
2^4 = 2*2*2*2
What is 8 1/3% as a fraction?
Which of the triangles in the diagram are congruent?
A.
triangle 1, triangle 2, and triangle 3
B.
triangle 1, triangle 3, and triangle 4
C.
triangle 3, triangle 4, and triangle 5
D.
triangle 3 and triangle 5
E.
triangle 2 and triangle 5
Answer:
boii put the diagram then put the question
Step-by-step explanation:
Devonte used the change of base formula to approximate log Subscript 8 Baseline 25. Which expression did Devonte use?
Log StartFraction 8 Over 25 EndFraction
StartFraction log 8 Over log 25 EndFraction
log StartFraction 25 Over 8 EndFraction
StartFraction log 25 Over log 8 EndFraction
Answer:
The last choice: log 25 Over log 8
Step-by-step explanation:
Because the change of base formula says:
log (subscript 8) of 25 = log (25) / log (8)
let log be the Common Log without subscripts
The change of base formula used by Devonte to approximate the logarithm expression log₈ 25 is log 25 / log 8.
How to express logarithm?Using logarithm theorem,
logₐ b = logₓ b / logₓ a
Therefore,
log₈ 25 can be express as follows;
Recall that the natural base is base 10
Therefore,
log₈ 25 = log 25 / log 8.
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The square below has an area of 16 + 8x + x^2 square meters. What expression represents the length of one side of the square?
Answer:
x+4
Step-by-step explanation:
x² + 8x² +16 = x² + 2*4x +4² = (x+4)²
Area of a square = side²
So, the length of one side of the given square is (x+4).
The expression that represent the length of one side of the square is x+4.
Calculation of the expression:Since the equation is
[tex]= x^2 + 8x^2 +16[/tex]
So, we can write as the
[tex]= x^2 + 2\times 4x +4^2 \\\\= (x+4)^2[/tex]
Now we know that
Area of a square = side²
hence, we can say that the expression that represent the length of one side of the square is x+4.
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The exponential function f(x) = 215e^0.0325x models the Siberian tiger population of China, f(x), x years
after 1990. If this trend continues, predict the Siberian tiger’s population in Chins in the year
2030.
Answer:
789 Siberian tigers
Step-by-step explanation:
2030 = 40 years after 1990, so...
215 * e^(.0325*40) =
215 * e^1.3 =
788.89878405, which is approx. 789
Kimberly had more time to conduct surveys and decided to survey a random sample of 30 students from the school. In Kimberly’s sample, 24 students said they would vote for Tammy. What is Kimberly’s best estimate of the number of students in the school who would vote for Tammy?
Answer:
80% of the students would vote for Tammy.
Step-by-step explanation:
To find Kimberly's best estimate, we need to use the sample the surveyed.
From the sample of 30 students, 24 said that they would vote for Tammy, so to generalize this sample, we need to find the percentage of students in the sample that would vote for Tammy:
Percentage = 24 / 30 = 0.8 = 80%
So the best estimate Kimberly can make is that 80% of the students would vote for Tammy.
14 out of 56 students got an A. What percent got an A?
Answer:
7.84 percent
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
I divided 14 by 56 and got 0.25, therefore it is 25%
I hope this helped!
You have 12 shirts and plan to wear a different one each day from Monday
through Friday. How many arrangements of shirts are possible for those 5
days?
Solve the following inequality.
5 - 3m < 23
E
SAL
TER
Answer:
m > - 6
Step-by-step explanation:
Given
5 - 3m < 23 ( subtract 5 from both sides )
- 3m < 18
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.
m > - 6
What is the slope of y = -4x -3
What is the maximum battery life?
Answer:
24
Step-by-step explanation:
Answer:
probably 27 H
Step-by-step explanation:
Steve drove for 2.4 hours at an average speed of 48 miles per hour, then 3.5 hours at and average speed 56 miles per hour. How far did Steve drive?
Answer:
311.2 miles
Step-by-step explanation:
(distance) = (rate)(time)
Here we have:
(48 mph)(2.4 hr) + (56 mph)(3.5 hrs) = 311.2 miles
Answer:
311.2
Step-by-step explanation:
2. An aerial mast is supported by four wires attached to points on the
ground each 57 metres away from the foot of the mast. If each wire
makes an angle of 32° with the horizontal, find the height of the mast.
The problem involves using trigonometry to find the height of a mast given the hypotenuse of a right-angled triangle and an angle. The sine function is used in this case, providing an approximate mast height of 30 meters.
Explanation:This question involves the application of trigonometry. The wires form right-angled triangles with the mast and the ground, and the measure provided, 57m, is the hypotenuse of these triangles. The question asks for the height of the mast (opposite side) and the angle provided is 32° with the horizontal.
To solve this, the function of sine can be used, where the sine of an angle is equal to the opposite/hypotenuse. This can be rearranged to the formula: Opposite (height of the mast) = Hypotenuse * Sin(angle).
Therefore, the height of the mast = 57 meters * sin(32°) = 29.96 meters, approximately 30 meters mast height.
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Final answer:
Using the tangent function with the given angle of 32 degrees and the distance from the base of the mast to the attachment points of the wires (57 metres), the height of the mast is calculated to be approximately 35.64 metres.
Explanation:
To find the height of the mast, we can use trigonometry, specifically the tangent function, because we have an angle and the opposite side, which in this case is the distance from the ground to the point where the wire is attached to the mast. The tangent of an angle in a right-angled triangle is the ratio of the opposite side to the adjacent side (tan(θ) = opposite/adjacent).
In this scenario, we have the angle (32°) and the adjacent side (57 metres), and we want to find the opposite side, which is the height of the mast. The formula we will use is:
height = adjacent × tan(angle)
Let's put the values we know into this formula:
height = 57 × tan(32°)
To calculate the height, you will need a calculator that can compute the tangent of an angle. The height will then be found as follows:
height = 57 × 0.6249 (tan(32°))
height = 35.6393 metres, which can be rounded to 35.64 metres.
The mast is therefore approximately 35.64 metres tall.