A trapezoid has a median measuring 24 units. Its area is 96 square units. The height of the trapezoid has a length
Answer:
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The height of the trapezoid has a length of 4 units
Calculating the sides of a trapeziumFrom the question, we are to determine the height of the trapezoid
The area of a trapezoid can be calculated by the formula,
[tex]A = \frac{1}{2}(a+b) h[/tex]
Where A is the area
a and b are the bases
and h is the height
The median of a trapezium is given by
[tex]\frac{1}{2} (a+b)[/tex]
From the given information,
A = 96 square units
[tex]\frac{1}{2}(a+b) = 24 \ units[/tex]
Putting the parameters into the formula,
96 = 24 × h
h = 96 ÷ 24
h = 4 units
Hence, the height of the trapezoid has a length of 4 units
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Identify the image of ∆XYZ for a composition of a 300° rotation and a 60° rotation, both about point Y.
HElppppppp 10 mins left
Answer:
First Image is the orginal image of ∆XYZ, and the second is the composition of a 300° rotation and a 60° rotation (360°)
The image of ∆XYZ for a composition of a 300° rotation and a 60° rotation, both about point Y is 360°
What is trigonometry?Trigonometric ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
various ratios are:-
sin=perpendicular/hypoteneusecos=base/hypotenusetan=perpendicular/base (tan30°)=5/bcot=base/perpendicularsec=hypotenuse/basecosec= hypotenuse/perpendicularThe ratios of sides of a right-angled triangle with respect to any of its acute angles are known as trigonometric.
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The price of the AC unit with tax is $2,350. If she can save $115 per month, how long will it take to save up for the air condition?
Answer:
20 months approx
Step-by-step explanation:
Given data
Price=$2,350
Monthly savings= $115 per month
Hence the duration of time to save up $2,350 is given as
=2,350/115
=20.434
Hence the time is 20 months approx
In a school with 2,000 students, 250 are athletes. Of those athletes, 120 lift weights in addition to participating in their primary sport. Thirty-seven athletes lift weights as their primary sport. The newspaper wants to select five athletes at random from the school to interview. What is the population size?
A.) 37
B.) 120
C.) 250
D.) 2,000
Answer:
c
Step-by-step explanation:
Element X is a radioactive isotope such that every 28 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 50 grams, how much of
the element would remain after 11 years, to the nearest whole number? I will give brainly for it
Answer:
38
Step-by-step explanation:
What is the median for the data set below?
Identify slope (m) and y-intercept (b): 4y - 3x = 4*
1. m = 4/3 b = 4
2. m = 3/4 b = 1
3. m=-3 b = 4
4. m = 3/4 b = 4
Answer:
2.
Step-by-step explanation:
y = 3/4x +1
m = 3/4 b = 1
hope this helps
A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 6 centimeters. Find the radius.
cm
Answer:
I think 4.5 cm.
Step-by-step explanation:
Hope that may be right.
Two tanks are being filled. Tank 1 is being filled at a rate of 3/4 gallon per 2/3minute
Tank 2 is filling at a rate of 5/8gallon per 1/2minute. Which tank is filling faster?
Answer:
Tank 2 filling faster
Step-by-step explanation:
Tank 1 filling at 1 1/8 gallons per minute (3/4 ÷ 2/3)
Tank 2 filling at 1 1/4 gallons per minute (5/8 ÷ 1/2)
Vicky cut a string into 4 equal pieces. She started with a string that was 5.4 inches long. How many inches long was each piece that Vicky cut?
Answer: 1.35 inches
hope this helps
what is -2.4x + 9 + 8x + 4.2 = 58
Answer:
X=8
Step-by-step explanation:
Pi approx A cylinder has a height of 20 yards and a diameter of 18 yards . What is its volume ? Use 3.14 and round your answer to the nearest hundredth .
Answer:
5086.8 cubic yards
Step-by-step explanation:
Given data
Height = 20yards
Diamter= 18 yards
Radius= 9 yards
The expression for the volume of a cylinder is given as
V=πr^2h
substitute
V=3.14*9^2*20
V=3.14*81*20
V=5086.8 cubic yards
a recipe uses 10 cups of flour. you can only measure using 2/3 cups.
How many 2/3 cups are needed for the recipe?
Ok so I am not exactly sure if you want to know how many whole cups can be added or simply how many 2/3 cups make up 10, but heres what I found.
So to find how many 2/3 is in 10 cups you simply have to divide
10/(2/3) = 15
So 10 cups of flour is 15 (2/3) cups of flour.
Hope this helps :)
rewrite 4 x 4 x 4 x 4 As a exponent
rewrite A x A x A as an exponent
Answer:
Step-by-step explanation:
[tex]4^4\\A^3[/tex]
Answer:
[tex]4^{4}[/tex] and [tex]A^{3}[/tex]
Step-by-step explanation:
Find the value of y,
96
66
Answer:
the answer is y=48
Step-by-step explanation:
you divide the arc by 2 if it's an inscribed angle
Answer: 48
Step-by-step explanation: 96/2
84 km
35 km
What is the length of the hypotenuse?
Answer:
Hypotenuse is 91 km
Step-by-step explanation:
a² + b² = c²
35² + 84² = c²
1225 + 7056 = c²
c² = 8281
[tex]\sqrt{c^2} =\sqrt{8281}[/tex]
c = 91
Umm ... NO FILES/LINKS !!!
Answer:
189.
Step-by-step explanation:
I divided 42 by 2 and got 21..
Then, I multiplied 21 by 9 and got 189!
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
help i don't understand this!!
Answer:
30 cm
Step-by-step explanation:
A(n) __value is any 2-value of a function that makes the y-value undefined.
1. excluded
2. discontinuous
3. quadratic
4. rational
Answer:
rational
Step-by-step explanation:
its so because they fit equaly
3/4 ft= blank inches
Find the volume
A. 150 cm3
B. 180 cm3
C. 90 cm3
D. 90 cm2
Answer:
268 in²
Step-by-step explanation:
The surface area is basically the entire area of the figure. You can do it multiple ways, but this is how I did it. I found the area of each side and added them all together. There are three sets of identical sides. First, we'll calculate the area of the side with lengths 10" and 8".
10 · 8 = 80
There are two of these sides, so currently we have 80 + 80.
Next, the area of the sides with lengths 8" and 3". These are the sides at the top and bottom.
8 · 3 = 24
So to our equation we now have 80 + 80 + 24 +24.
For the final two sides, we have the dimensions 10" and 3".
10 · 3 = 30
To our equation, we add this to get 80 + 80 + 24 + 24 + 30 +30.
Add all these numbers together for 268.
In the correct form, we add the square symbol to show that we are talking about area. The answer is 268 in². Good luck :D
Three of the flowers in the bouquet are lilies. There are a dozen flowers total. What percent of the flowers were lilies?
Answer:
25%
Step-by-step explanation:
Isabel has ridden 16 miles of a bike course. The course is 80 miles long. What percentage of the course has Isabel ridden so far?
Answer:
20%
Step-by-step explanation:
Divide 16 by 80 and you get 0.2 as an answer and to get a percent you move the decimal 2 places to the right to fet 20%
Isabel has completed 20 percent of the race of 80 miles.
What is the percentage?A percentage is a quantity or ratio that, in mathematics, represents a portion of one hundred. It is one method for illustrating a relationship between two integers that has no dimensions.
Given, Isabel has ridden 16 miles of a bike course. The course is 80 miles long. From the general formula of percentage:
For the percentage, we have to divide the value by the total value and then multiply the result by 100.
percentage of the course has Isabel ridden so far = (16/80) * 100
percentage of the course has Isabel ridden so far = 1/5*100
percentage of the course has Isabel ridden so far = 20%
Therefore, Isabel has ridden 20 percent of the course which is 80 miles.
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Calculate the discriminant f(x)=x2-4x+7
Answer:
Option 1,3,4,6 are correct
Explanation
Step-by-step explanation:
we have formula for discriminant that is D=b^{2} -4acD=b
2
−4ac
when D>0 the roots are real and unequal
when D= 0 roots are real and equal
and when D< 0 roots are imaginary or not real and unequal
In 1st equation: x^2+6x+8x
2
+6x+8
a=1,b=6,c=8 on substituting the values in the formula we will get
D=6^2-4(1)(8)=4 > 0D=6
2
−4(1)(8)=4>0 hence real and unequal roots.
In 2nd equation:x^2+4x+8x
2
+4x+8
a=1,b=4,c=8 on substituting values in formula
D=4^2-4(1)(8)=-16 < 0D=4
2
−4(1)(8)=−16<0 so roots are not real
In 3rd equation x^2-12x+3x
2
−12x+3
a=1,b=-12,c=3 on substituting values
D=D=(-12)^2-4(1)(3)=132 > 0D=(−12)
2
−4(1)(3)=132>0 roots are real and unequal
In 4th equation: x^2+4x-1x
2
+4x−1
a=1,b=4,c=-1 on substituting the values
D= 4^2-4(1)(-1)=20 > 0D=4
2
−4(1)(−1)=20>0 real roots
In 5th equation:5x^2+5x+45x
2
+5x+4
a=5,b=5,c=4 on substituting the values
D=5^2-4(5)(4)=-55 < 0D=5
2
−4(5)(4)=−55<0 roots are not real
In 6th Equation: x^2-2x-15x
2
−2x−15
a=1,b=-2,c=-15 on substituting the values
D=(-2)^2-4(1)(-15)=64 > 0D=(−2)
2
−4(1)(−15)=64>0 roots are real
to which sets of numbers dose-1/4 belong. select each correct answer.
A. rational numbers
B. irrational numbers
C. real numbers
D. integers
Answer:
Rational.
Step-by-step explanation:
Natural numbers are numbers 1 through infinite.
Whole numbers are numbers 0 through infinite.
Integers are negative numbers (No decimals nor fractions)
Rational numbers are fraction/decimal numbers (can be negative).
Irrational numbers are squared numbers.
Real numbers includes all of the above mentioned.
Hope this helps.
Answer:
A. rational numbers
Step-by-step explanation:
-1/4 belongs to rational number
How many litres will be needed if 250 ml
Answer:
0.25 liter
Step-by-step explanation:
Select one or more expressions that together represent all solutions to the equation your answer should be in radians sin(x) = -.25
Answer:
-0.25268 rad + 2πn , 3.394273 rad + 2πn
≈ - π /12 + 2πn, π + 2πn
Step-by-step explanation:
sin( x ) = -0.25
x = sin^-1 ( -25 )
The solutions of the equation sin( x ) = -0.25 are :
X = -0.25268rad + 2πn , 3.394273rad + 2πn
≈ - π /12 + 2πn, π + 2πn
What is the answer help plz
Answer:
2. 77.9
Step-by-step explanation:
I think its that i looked up the formula sorry if im wrong
Write the decimal as a fraction or mixed number in lowest terms.
1.01 plz no links
Answer:
1/100
Step-by-step explanation:
Hope it helps
Please brainliest
