x = 24
Step-by-step explanation:
First, find the length RT. Note that we can use the definition of sine 60:
sin 60° = (12√3)/RT
Solving for RT,
RT = (12√3)/sin60° , sin 60 = (√3)/2
= 24
Since ∆QRT is a 45°-90°-45° triangle, that means that
x = RT = 24
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 13 inches, and the length of the base is 8 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch
Answer:
12.2 inches
Step-by-step explanation:
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 5 inches, and the length of the base is 2 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
The length of the sides of the isosceles triangle can be found from the
given altitude and the length of the base.
The perimeter of the triangle is approximately 35.2 inches.Reasons:
The given parameter are;
The triangle is an isosceles triangle
The altitude cuts the base into two
Length of the altitude, h = 13 inches
Length of the base of the triangle, l = 8 inches
Required:
Find the perimeter of the triangle.
Solution:
By using the Pythagorean theorem, we have;
Length of one of the isosceles sides of the triangle which is an hypotenuse
side of the right triangle formed by the altitude, R, is given as follows;
[tex]\displaystyle R = \mathbf{\sqrt{ h^2 + \left(\frac{l}{2} \right)^2}}[/tex]
Therefore;
[tex]\displaystyle R = \sqrt{ 13^2 + \left(\frac{8}{2} \right)^2} = \mathbf{ \sqrt{ 13^2 + 4^2}} =\sqrt{185}[/tex]
R = √(185) inches
Therefore, the length of the other hypotenuse side = R = √(185) inches
On the original triangle, the sides are; R, R, and l
Which gives;
The perimeter of the triangle, P = R + R + l = 2·R + l
Therefore;
P = 2 × √(185) + 8 ≈ 35.2
The perimeter of the triangle, P ≈ 35.2 inches.
Learn more about Pythagorean theorem here:
https://brainly.com/question/2514956
So far this semester, Brian is averaging a score of 63 points on math tests, which is 10% lower than his average last semester. What was the average of his scores last semester?
Answer:
Step-by-step explanation:
So far this semester, What was the average of his scores last semester?
Let us represent last semester average score as x
We are told that:
Brian is averaging a score of 63 points on math tests, which is 10% lower than his average last semester.
This is expressed Mathematically as:
63 = x - 10%
63 = x - 0.1
Collect like termd
x = 63 + 0.1
x = 63.1
Item 2
Which statements about liquid volume are true?
Select each correct answer.
One milliliter is 100 times smaller than one liter.
Liters are smaller units than milliliters.
Milliliters are smaller units than liters.
One liter is 1,000 times larger than one milliliter.
One milliliter is 100 times larger than one liter.
One liter is 1,000 times smaller than one milliliter.
Answer:
C, D
Step-by-step explanation:
These are the only correct statements about liquid volume. 1L= 1,000mL
A Liter is larger than a mL, a thousand times so.
A mL is smaller than a Liter, a thousand times so.
The correct statements about liquid volume are:
1. One milliliter is 100 times smaller than one liter.
2. Milliliters are smaller units than liters.
3. One liter is 1,000 times larger than one milliliter.
1. One milliliter is 100 times smaller than one liter:
This statement is true.
Since there are 1,000 milliliters in one liter, dividing one liter by 1,000 gives us the equivalent value of one milliliter.
2. Milliliters are a smaller unit of measure compared to liters. There are 1,000 milliliters in one liter, so any given volume in milliliters will be a fraction of the equivalent volume in liters.
3. As mentioned earlier, there are 1,000 milliliters in one liter.
Therefore, one liter is 1,000 times larger than one milliliter.
4. Liters are larger units of measure compared to milliliters.
5. As explained earlier, one milliliter is 100 times smaller than one liter.
Learn more about Unit Conversion here:
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The measure of an angle is 28.1°what is the measure of its complementary angle
Answer:
Step-by-step explanation:
in complementary angle sum of two angle is always 90 degree.so,
let another be x
x+28.1=90
x=90-28.1
x=61.9
therefore another angle is 61.9 degree.
Help I will give brainiest. you don't have to explain
Answer:
1. No solutions
2. Yes, if Jane buys 3 shirts and yuki buys 4
4. No solutions
5. One, x=6
6. 1-x will be different from 5(x-4) - 6x regardless of the value of x because 5x - 6x is infinitely equal to 1-x but then you will always have to subtract 20, making them infinitely different.
Step-by-step explanation:
THE FIRSTT
ONE Plsss someone help me
Tim had $788 in his checking account. Then, he spent $135 from the account. How much money is left in Tim's checking account?
Answer:
$653
Step-by-step explanation:
788 - 135 = 653
Answer:
653..too easy
Step-by-step explanation:
788
-135
653
Find the circumference of the object. Use $3.14$ or $\frac{22}{7}$ for $\pi$ . Round to the nearest hundredth if necessary.
Answer:
18.84 units
Step-by-step explanation:
The question is incomplete, however, we can proceed with the given information
Given data
The expression for the circumference of a circle is given as
C= 2πr
Hence when we have a value for the radius say r= 3
Hence the circumference can be found as
C= 2*3.14*3
C= 18.84 units
Why is this equation not valid? Please help
Answer:
not valid..
Step-by-step explanation:
help finding the circumference
Answer:
approximately equal to 72 centimeters
Step-by-step explanation:
The formula for the circumference of a circle is 2[tex]\pi[/tex]r.
The formula for finding the radius with an arc and an arc length is 180 times l over [tex]\pi[/tex] times the angle.
[tex]\frac{3420}{298.45}[/tex] which is approximately equal to 11.46
11.46 is our radius so the circumference is 2[tex]\pi[/tex](11.46) or about 72
Find the median and mean of the data set below:
21,0,36,30,13,32
Answer:
Mean: 22
Median: 25.2
Step-by-step explanation:
The mean is the sum of all the numbers in a set divided by the number of terms in a set.
The median is the middle value of the numbers when the numbers in a set are arranged from least to greatest. If there is two middle numbers, the median is the average of the two numbers.
I hope this helps!
The number of cats to the number of dogs owned by the students in a class is 5:3. There are 95 cats, how many dogs are there?
Select all of the statements that are valid based on the survey results.
Answer:
all except the last one
Step-by-step explanation:
A triangle has sides of (2x), (x - 7) and (3x - 20).
(x - 7)
2x
(3x - 20)
(a)
Find an expression, in terms of x, for the perimeter of the triangle.
Give your answer in its simplest form.
The perimeter of the triangle is 87cm.
Work out the value of x.
(b)
Can anyon help me plzz...
Solve these order of operation:
A. (2.8+(-1^4)×(3.4^0-4×0.5)
B. 2.8÷(-3.1+5^2)
C. 15.3+3.1×4-8×(-0.6)
Answer:
A= 3.8 B= 0.127 C= 32.5
Step-by-step explanation:
Tell whether the triangle with the given side lengths is a right triangle.
14 ft, 48 ft, 50 ft
Answer:
It can be a right angle with hypotenuse 50 ft, adjacent 14 ft and height 48 ft
a point in rectangular coordinates is given. Convert the point to polar coordinates. Round your answers to two decimal places.
(5,7)
Answer:
(√74, 54.46°)
Step-by-step explanation:
The rectangular coordinate point is given as; (5, 7)
Now, converting rectangular coordinates to polar coordinates is done by;
(r, θ)
Where, r is the magnitude while θ is the angle
r = √(5² + 7²)
r = √74
tan θ = (7/5)
θ = tan^(-1) 1.4
θ = 54.46°
Thus,polar coordinate is; (√74, 54.46°)
Please explain to me how to get the answer! I know it’s 1/16 but I don’t know how to get it. See picture below!
Answer:
Step-by-step explanation:
4³/ 4^5
64 / 1024
= 1/16
The cereal box shown below is a rectangular prism.
Answer:
Surface area is found:
Surface Area = 1700 cm²
Step-by-step explanation:
(The cereal box is shown in the ATTACHMENT)
The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.
L = length = 20 cm
H = height = 30 cm
W = Width = 5 cm
Side 1:
A(1) = L×H
A(1) = 20×30
A(1) = 600 cm²
Side 2:
As the measurements of the side at the back of side 1 has the same measurement of side 1. then:
A(2) = 600 cm²
Side 3:
A(3) = L×W
A(3) = 20×5
A(3) = 100 cm²
Side 4:
As the measurements of the side at the back of side 4 has the same measurement of side 4. then:
A(4) = 100 cm²
Side 5:
A(5) = H×W
A(5) = 30×5
A(5) = 150 cm²
Side 6:
As the measurements of the side at the back of side 5 has the same measurement of side 5. then:
A(6) = 150 cm²
Surface Area:
Adding areas of all the sides
A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150
Surface Area = 1700 cm²
The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you get 50 points for each seven-letter word you make with the ten letters you receive. Sal wants to break the record, and he needs 18000 or more points to do so.
Write an inequality to determine the number of seven-letter words, w Sal could make to break the record.
Answer:
Answer: 50x+100\geq18,00050x+100≥18,000
Let w denotes a seven letter word which Sal will need to make to break the record.
Since you get 50 points for each seven-letter and 100 points for playing the game.
Then the total points earned by you by making w seven letters words will be:
50x+10050x+100
Since, Sal wants to break that record, and needs 18,000 points or more to do so.
Then , the required inequality will be :
50x+100\geq18,00050x+100≥18,000
If anyone can solve this quickly I will give brainly
Answer:
m∠BFE = 171º
BE = 219º
Step-by-step explanation:
∠BFE is supplementary to ∠EFC
m∠BFE = 180 - 9
m∠BFE = 171º
--------------------------
The angle between two chords is equal to half the sum of the intercepted arcs:
∠BFE = (DC + BE)2
171 = (123 + BE)/2
342 = 123 + BE
219º = BE
hello please help i’ll give brainliest
Use the proportion below to determine 30% of 20.
Answer:
x=6
Step-by-step explanation:
Pls someone help me with thissss plsss
Answer:
y = 5x -3
Step-by-step explanation:
slope = 5
y int = -3
Find the area of the figure
Answer: 7500m
Step-by-step explanation:
Determine the value of the variable that makes the equation true. 12-b=12.5
Answer:
B = -.5
Step-by-step explanation:
If B is negative is cancels out the prexisting negative making it positive.
which expressions are equivalent to x^4/5
what is the measure of angle one
Find the length of the third side. If necessary, round to the nearest tenth.
HELP, it looks blurry sorryyy! 15 pointss