It should be 0.6. you add the numbers you got I think you add
STR≅△XYZ, TR=14c−13, and YZ=10c−1. Find c and TR.
c = 4 and TR = 39
c = 6 and TR = 59
c = 2 and TR = 19
c = 3 and TR = 29
The value of c is 3 units and TR is 29 units. Therefore, option D is the correct answer.
Given that, △STR≅△XYZ, TR=14c−13, and YZ=10c−1.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
We know that, corresponding parts of congruent triangles are equal.
Here, TR=YZ
⇒ 14c-13=10c-1
⇒ 14c-10c=-1+13
⇒ 4c=12
⇒ c=3 units
So, TR=14c-13
= 29 units
The value of c is 3 units and TR is 29 units. Therefore, option D is the correct answer.
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fill in the missing justifications in the correct order
Answer:
Distributive property
commutative property
combine like terms or write a equivalent expression
Step-by-step explanation:
by definition it’s
Distributive property
commutative property
combine like terms or write a equivalent expression
An airplane is flying at an altitude of 6 miles (approximately 32,000 feet) toward a point directly above where you are standing. If you are standing x miles away from a spot that is perpendicular to the plane, what is the equation that relates the angle as a function of x? Then, using that equation, solve for when x is 2 miles.
Answer:
angle = arc tangent(6/x)
for x=2 -> angle = 71.565°
Step-by-step explanation:
To find the relation of the distance x and the angle of elevation that you are seeing the airplane, we should use the tangent relation of the angle. The opposite side of the angle is the altitude of the airplane, and the adjacent side of the angle is the distance x.
So we have that:
tangent(angle) = 6/x
angle = arc tangent(6/x)
If we have the value of x = 2, the angle will be:
angle = arc tangent(6/2) = arc tangent(3)
angle = 71.565°
What is the length of AB—?
Enter the correct value
Answer:
Step-by-step explanation:
Since it is a parallelogram so opposite sides are equal and parallel
4y = y + 18
4y - y = 18
3y = 18
y = 18 / 3
y = 6
Now
Length of AB = 4 * 6 = 24
hOPE IT HELPED :)
Answer:
y=6
AB= 24 units
Step-by-step explanation:
In a parallelogram the opposite or facing sides are equal therefore AB=CD
Can you help me find the answers please
Given:
(a) To determine the inequality for x for the given line.
Inequality:
Since, from the figure, it is obvious that the number line contains an open circle at the point 3.
This means that the end value 3 is not included in the interval.
Hence, the inequality can be written as [tex]x<3[/tex]
Thus, the inequality for x is [tex]x<3[/tex]
(b) Given that [tex]2<y<6[/tex] where y is an integer.
We need to determine the possible values of y.
Values of y:
The values of y lie between 2 to 6. Since, the inequality is strictly lesser than, it does not contain the end value.
Therefore, the possible values of y are 3,4,5
(3) Given the inequality [tex]3 x+7>x+19[/tex]
We need to solve the inequality.
Solution:
[tex]3 x>x+12[/tex]
[tex]2 x>12[/tex]
[tex]x>6[/tex]
Thus, the solution of the inequality is [tex]x>6[/tex]
A cylinder has a radius of 24.6 inches and a volume of 29,468 in3. Find its height.
A. 14.5 in
B. 15 in
C.15.5 in
D. 16.5 in
Answer:
15.49 inches
Step-by-step explanation:
Volume of a cylinder is given by
[tex]V=\pi r^{2}h[/tex]
Making h the subject of the formula then
[tex]h=\frac {V}{\pi r^{2}}[/tex]
Where h is the height, V is volume and r is radius. Substituting 24.6 inches for r and 29468 cubic inches for V then
[tex]h=\frac {29468}{\pi 24.6^{2}}=15.493723673378\ in\approx 15.49\ in[/tex]
Therefore, the height is approximately 15.49 inches
The correct height of the cylinder that produces a volume of 29,468 in3 is 15 inches (Choice B).
To find the height of a cylinder with a volume of 29,468 cubic inches (in3) and a radius of 24.6 inches, we use the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius, and h is the height.
Plugging in the known values, we get:
29,468 in3 = π(24.6 in)2h
Solving for h, the height of the cylinder, we perform the following steps:
Calculate the base area: Base Area = π(24.6 in)2
Divide the volume by the base area to find the height: h = Volume / Base Area
Calculate the height: h = 29,468 in3 / (π(24.6 in)2)
After performing the calculation, we conclude that the correct height of the cylinder that produces a volume of 29,468 in3 is 15 inches (Choice B).
the price of a guiter was decreased by 15% and sold for 275.99. what was the orignal price of the guiter in dollers?
Answer: 317.39
Step-by-step explanation:
The price of the guitar decreased by15%
Original price is 275.99
To get the reduced amount
It will be 15% of the exact amount and add to the exact to get the original
15/100×275.99
=41.3985
To get exact,
reduced amount + sold price
=41.3985+275.99
=317.3885
=317.39
A coffeepot contains 1 1⁄2 quarts of coffee. After Tonya pours an equal amount of coffee into two cups, 3 1⁄2 cups of coffee remain in the pot. How much coffee did Tonya pour into each cup?
Answer:
1.25cups(8oz/1cup)=10 ounces
Step-by-step explanation:
we convert 1 1/2 quarts to cups. There are 4 cups in a quart:
1 1/2 quarts= 3/2 quarts (4 cups/ 1 quart)= 6 cups
Amount poured out:
6 cups- 3.5 cups= 2.5 cups
Amount poured in each cup:
2.5/2=1.25 cups
Which statement about the histogram is true
Answer:
Yea its B
Step-by-step explanation:
what is the domain and range?
Answer:
The domain is all real numbers, and the range is (y ≤ 0)
Step-by-step explanation:
It's best to start graphing piecewise functions by reading the "if" statements first, and you'll most likely shorten the chance of making an error by doing so.
Solve each equation a. 25-3x=40
b. 1/3(x-10)= -4
What does x equal to for each equation?
Answer:
a. x = -5
b. x = -2
Step-by-step explanation:
a.
40=25-3x
40=25-(-15)
x should be -5 for a
b.
-4=1/3(x-10)
-4=1/3(-2-10)
-4=1/3(-12)
x should be -2 for b
What is the value of d?
Round your answer to the nearest tenth.
9.1 mm
11.9 mm
26.3 mm
34.1 mm
The figure shows acute triangle D E F. The measure of angle D is 25 degrees. The length of side D E is 21 millimeters. The length of side E F is d. The length of side F D is 27 millimeters.
Answer:
11.9
Step-by-step explanation:
just took the test :D
If j = 2 cm and k= 2.5 cm, what is the length of /?
A 1.5 cm
B. 2 cm
C. 1 cm
D. 3.5 cm
Answer:
d
Step-by-step explanation:
if yourw talking about diagonals its d
Which function represents exponential growth?
HELP ME I VERY STRESSED(⓿_⓿)
This pattern follows the rule add 9. What are the next 3 terms?
An image of a pattern. Term one has 9 triangles, term two has eighteen triangles, term three has twenty-seven triangles.
A. 36, 45, 54
B. 39, 48, 57
C. 42, 51, 60
D. 54, 63, 72
The next three terms in the pattern following the rule 'add 9' are 36, 45, and 54.
Since the pattern follows the rule of adding 9 to get to the next term, we can simply continue this pattern from the last given term, which is twenty-seven triangles. Therefore:
Term four would have twenty-seven plus nine triangles, giving us 36 triangles.
Term five would be thirty-six plus nine, which results in 45 triangles.
Term six is forty-five plus nine, totaling 54 triangles.
The next three terms in the pattern following the rule 'add 9' are 36, 45, and 54.
Hey! The faster this is done, the faster I love you. (No homo if you're a girl) BUT ANYWAY can anyone do this for me?
0.75 Sq. Ft2
Area of a Square= Side length x Side length
Answer = (Side length x Side length) square area
volume and area question!-please help me answer it
This cuboid is made from centimetres cubes
write down the volume of the cuboid
using the image below
the cuboid is then split in half
Answer:
72 for q1 and q2 is 18
Step-by-step explanation:
Final answer:
To find the volume of a cuboid, multiply its length, width, and height. If made of 1 cm cubes, the volume is the number of these cubes. Halving the cuboid evenly would halve its volume.
Explanation:
To calculate the volume of a cuboid, you multiply the length, width, and height of the cuboid. The question doesn't provide specific dimensions, but assuming that you have them, the formula you would use is Volume (V) = length × width × height. If the cuboid consists of centimeter cubes, each with a side length of 1 cm, the volume in cubic centimeters will be equal to the number of these small cubes.
For example, let's say the dimensions of the cuboid are 5 cm × 3 cm × 4 cm. The volume would then be calculated as V = 5 cm × 3 cm × 4 cm = 60 cm³.
If the cuboid is split in half, the resulting two pieces would each have a volume that is half of the original total volume, assuming the split is made evenly.
im pretty sure im correct because the "|" (vertical lines) mean absolute value right?
You are absolutely correct! Great job
123,000,000 as a multiple of a power of 10
123,000,000 as a multiple of a power of 10 is 1.23 x 10⁸.
What is power of 10?The large values when shortened, they are written in the form of power of 10 by shifting decimals.
123,000,000 has eight zeroes to reduce and taken to the power of 10. Put decimal after counting eight digits from the right.
123,000,000 can be written as 1.23 x 10⁸.
Thus, 123,000,000 as a multiple of a power of 10 is 1.23 x 10⁸.
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To express 123,000,000 as a multiple of a power of 10, we identify it as 1.23 x 10^7.
The question asks to express 123,000,000 as a multiple of a power of 10. To do this, we need to understand how exponents of 10 work. The exponent tells us how many zeros are added to the right of 1 to create the number. For instance, 10^2 equals 100 because there are two zeros.
In the case of 123,000,000, we count the zeros following the initial digit(s). There are 7 zeros. Therefore, we can express 123,000,000 as 1.23 x 10^7. Here, 1.23 is the coefficient (a value greater than or equal to 1 but less than 10), and 10^7 indicates that the decimal point in 1.23 is moved 7 places to the right to get the original number, 123,000,000.
This method of notation is commonly used in scientific notation, which simplifies large numbers by expressing them as a multiple of a power of 10. It's a useful way to work with very large or very small numbers efficiently.
|x+5| =3
plz help show steps
Hope this will help u...
A jewelry box has a length of 3 1/2 units, a width of 1 1/2 units, and a height of 2 units. What is the volume of the box in cubic units?
Answer:
10 1/2 or 10.5
Step-by-step explanation:
V=l*w*h
Volume = length * width * height
length = 3 1/2 = 3.5
width = 1 1/5 = 1.5
height = 2
input the values V = 3.5 * 1.5 *2
multiply the first two numbers 3.5 * 1.5 = 5.25
multiply the first result by the third number 5.25 * 2 = 10.5
Volume = 3.5 * 1.5 *2= 5.25 * 2 = 10.5 = 10 1/2
3 1/2 * 1 1/5 * 2 = length * width * height = Volume = 10 1/2
Volume = 10 1/2
Find the area of a
regular hexagon with
an apothem of
15 cm.
DO
The area of the regular hexagon is 585 square centimeters.
Explanation:A regular hexagon is a polygon with six equal sides and six equal angles. To find the area of a regular hexagon, you can use the formula:
[tex]\[ \text{Area} = \frac{3 \sqrt{3}}{2} \times \text{side length}^2 \][/tex]
However, in this case, the apothem (the distance from the center to the midpoint of a side) is given instead of the side length. The relationship between the apothem (\(a\)) and the side length (\(s\)) of a regular hexagon is given by:
[tex]\[ a = \frac{s}{2} \times \sqrt{3} \][/tex]
Rearranging this formula to solve for \(s\), we get:
[tex]\[ s = \frac{2 \times a}{\sqrt{3}} \][/tex]
Substituting this expression for \(s\) into the area formula, we get:
[tex]\[ \text{Area} = \frac{3 \sqrt{3}}{2} \times \left(\frac{2 \times a}{\sqrt{3}}\right)^2 \][/tex]
Simplifying further:
[tex]\[ \text{Area} = \frac{3 \sqrt{3}}{2} \times \frac{4 \times a^2}{3} \][/tex]
Canceling out common factors:
[tex]\[ \text{Area} = 2 \sqrt{3} \times a^2 \][/tex]
Now, substituting the given apothem ((a = 15) cm), we find:
[tex]\[ \text{Area} = 2 \times \sqrt{3} \times (15 \, \text{cm})^2 = 585 \, \text{cm}^2 \][/tex]
Therefore, the area of the regular hexagon is 585 square centimeters.
Mr Gordon bought 2 1/2 pounds of apples 1.25 pounds of pears and 3 3/4 pounds of oranges to his sister on the way home . How many pounds of fruit did me Gordon take to his home
Answer:
7.5 or 7 1/2 pounds of fruit.
Step-by-step explanation:
2.5 (2 1/2) + 1.25 (1 1/4) = 3 3/4 (3.75). 3 3/4 + 3 3/4 = 7 1/2 (7.5) pounds of fruit in total.
The volume of a rectangular prism is (x3 – 3x2 + 5x – 3), and the area of its base is (x2 – 2). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?
x minus 3 + StartFraction 7 x minus 9 Over x squared minus 2 EndFraction
x minus 3 + StartFraction 7 x minus 9 Over x cubed minus 3 x squared + 5 x minus 3 EndFraction
x minus 3 + StartFraction 7 x + 3 Over x squared minus 2 EndFraction
x minus 3 + StartFraction 7 x + 3 Over x cubed minus 3 x squared + 5 x minus 3 EndFraction
Answer:
A. x - 3 + 7x - 9/x^2 - 2
did test on edge, got 100%
The height of the prism is x-3+ (7x-9)/([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+5x-3).
The formula for the volume of a rectangular prism is V = Ah, where A is the area of the base and h is the height. Since we are given the volume and the area of the base, we can solve for the height. We have V = ([tex]x^{2}[/tex]-2) * h and V = ([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+5x-3), so we can set these two equations equal to each other and solve for h.
([tex]x^{2}[/tex]-2) * h = ([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+5x-3)
Expanding both sides, we get:
[tex]x^{2}[/tex]h - 2h = [tex]x^{3}[/tex]h - 3[tex]x^{2}[/tex]h + 5xh - 3h
Combining like terms, we get:
([tex]x^{3}[/tex] - 3[tex]x^{2}[/tex] + 5x - 3 - [tex]x^{2}[/tex] + 2 - 5x + 3) * h = 0
Simplifying, we get:
([tex]x^{3}[/tex] - 4[tex]x^{2}[/tex] + 2) * h = 0
Since [tex]x^{3}[/tex] - 4[tex]x^{2}[/tex] + 2 cannot equal 0 (since it's a cubic polynomial), we can divide both sides by ([tex]x^{3}[/tex] - 4[tex]x^{2}[/tex] + 2) to solve for h:
h = 0 / ([tex]x^{3}[/tex] - 4[tex]x^{2}[/tex] + 2)
So the height of the prism is x-3+ (7x-9)/([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+5x-3).
1) Suppose there are 2 blue, 3 green, and 5 yellow marbles in a bag. One marble will be drawn from the bag. List the sample space for the experiment.
2) Suppose there are 2 blue, 3 green, and 5 yellow marbles in a bag. One marble will be drawn from the bag. Calculate the probability (in simplest form) of b. P(B)
3) Suppose there are 2 blue, 3 green, and 5 yellow marbles in a bag. One marble will be drawn from the bag. Calculate the probability (in simplest form) of g. P(G)
Answer:
2
Step-by-step explanation:
Simple
What is the height of the cylinder in the diagram? Round your answer to the nearest whole number.
Answer: 8
Step-by-step explanation:
As per the given volume and radius of the cylinder, the height of the cylinder in the diagram is approximately 8 cm.
In order to determine the height of the cylinder in the given diagram, we first need to understand the formula for calculating the volume of a cylinder. The formula for the volume of a cylinder is
=> V = π * r² * h,
where V represents the volume, π is a constant (approximately equal to 3.14159), r is the radius, and h is the height of the cylinder.
In the provided information, we are given that the radius of the cylinder is 6 cm (radius = 6 cm) and the volume of the cylinder is 904.78 cm³ (V = 904.78 cm³).
Now, we can rearrange the volume formula to solve for the height (h) of the cylinder. Divide both sides of the formula by (π * r²):
h = V / (π * r²)
Substitute the known values:
h = 904.78 cm³ / (3.14159 * 6²)
h = 904.78 cm³ / (3.14159 * 36)
h = 904.78 cm³ / 113.09724
h ≈ 7.99998 cm
Rounding the answer to the nearest whole number, the height of the cylinder is approximately 8 cm.
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y = x - v/b ; solve for x
Answer:
x = y + v/b
Step-by-step explanation:
You can solve for x by adding v/b to both sides since that is what will isolate x the quickest and that is what you want to do when you need to solve for something.
By adding v/b to both sides, you will end up with x=y+v/b and that’s your answer!
Hope this helps!
(Credit to math-way)
What is the volume of the figure below if a = 4 units, b = 5.9 units, and c = 2 units?
Answer:
111.2 units³
Step-by-step explanation:
Base area = 2(a² + ½ab)
2(4)² + (4)(5.9)
= 55.6 units²
Volume = Base area × c
55.6 × 2
= 111.2 units³
pleasee explainnnn #23
If PQR ~ SQT, find the value of x
The value of x is 15.
The calculation is as follows;Here first we add P and Q together that equals x+13
After this, it divide x+13 and 8 and make it equal to [tex]21\div x-9[/tex]
Now x should then equal 15
[tex]x+13\div 9 = 21\div x-9\\x^2+4x−117=168\\\\x^2 + 4x-285=0[/tex]
(x−15)(x+19)=0
x = 15
Therefore we can conclude that The value of x is 15.
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To find the value of x in a similar triangle question, you need to identify the corresponding sides and use their ratio to solve for x. In this case, PQR is similar to SQT, and the corresponding sides are PQ and SQ, PR and ST, and QR and QT. The ratio of the side lengths can be used to find the value of x.
Explanation:If two triangles are similar, it means that their corresponding angles are equal, and the ratio of their corresponding side lengths is constant. In the given question, PQR is similar to SQT. To find the value of x, we need to identify the corresponding sides and find the ratio between them. Let's assume that the corresponding sides are PQ and SQ, PR and ST, and QR and QT. The ratio of the side lengths can be written as:
x / (p + q) = PQ / SQ. Using this ratio, we can solve for x by multiplying both sides of the equation by (p + q):
x = (PQ / SQ) * (p + q)
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