Answers
Given:
The figure of a trapezoid.
Length of mid-segment = 5.5
Height of the trapezoid = [tex]6\sqrt{3}[/tex]
To find:
The area of the trapezoid.
Solution:
The area of a trapezoid is:
[tex]A=M\times h[/tex] ...(i)
[tex]A=\dfrac{a+b}{2}\times h[/tex]
Where, a,b are bases and h is the vertical height.
We know that [tex]M=\dfrac{a+b}{2}[/tex] is the length of the mid-segment.
Putting M=5.5 and [tex]h=6\sqrt{3}[/tex] in (i), we get
[tex]A=5.5\times 6\sqrt{3}[/tex]
[tex]A=33\sqrt{3}[/tex]
Therefore, the area of the trapezoid is [tex]33\sqrt{3}[/tex] units squared.
Related Questions
Mean = 25
Standard Deviation = 3.8
P(X
Find the value of k.
Round to 2 decimal values.
Answers
Answer:
The normal distribution is explained for the solution of this question.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean = 25, Standard Deviation = 3.8
This means that [tex]\mu = 25, \sigma = 3.8[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{X - 25}{3.8}[/tex]
If P(X > k) = a
We have to find [tex]X = k[/tex] when Z has a pvalue of 1 - a.
If P(X < k) = a
We have to find [tex]X = k[/tex] when Z has a pvalue of a.
Which of the following equations has no solution?
3x + 1 = 2x + 1
3x + 1 = 3x + 1
3x + 1 = 3x + 2
Answers
Answer:
the last one
..
can someone help me with this
Answers
Answer:
A
Step-by-step explanation:
Two adjacent angles form a right angle. The larger angle is 3 times the measure of the smaller angle. Which is the measure of the larger angle?
This means the angles are in a ratio of 1:3.
A. 67.5°
B. 30°
C. 22.5°
D. 45°
Answers
Answer:
B. 30
Step-by-step explanation:
Please help due soon.
Answers
Answer:
The answer is -41 :)
Step-by-step explanation:
THis is the answer because if -5 is the midpoint, then y= (-5)-31 which equals -41.
Hope I helped!
simplify the expression Please HELP
Answers
The order of operations is PEMDAS - parenthesis, exponents, multiplication/division, addition/subtraction.
Use the order of operations to know what to simplify first in an expression. P = parenthesis so you simplify what is in parenthesis first. 24/12 = 2, so your first box is 2. The expression now looks like this:
9 x (2)^2 + 5
The next letter is E, which stands for exponents. You square two next. 2^2 = 4 so your next box is 4. The equation now looks like this:
9 x 4 + 5
The next two letters of PEMDAS or MD, which stand for multiplication/division. If you have either or both of these to do in your expression, you do them now. That means you now calculate 9 x 4, which is 36. This leaves you with 36 + 5. Your 3rd box is 36.
The final letters of PEMDAS are AS. Doing any addition/subtraction happens last. Now you can add 36 + 5 to get 41 (your final box)
9 x (24 / 12)^2 + 5 = 41
Let me know if you have any questions/didn’t understand something. I hope this helps :)
HELPP! I"LL GIVE THE FIRST RIGHT ANSWER BRAINLIEST!!!
Answers
Answer:
61
Step-by-step explanation:
Heights of Smith's Adult grandchildren median: 339
Heights of Thompsons' Adult Grandchildren median: 400
400 - 339 = 61
Simplify: -6(x + 5) show work plz
Answers
Answer:
The answer is -6x - 30
Step-by-step explanation:
1) Expand by distributing terms.
[tex] - 6x - 6 \times 5[/tex]
2) Simplify 6 × 5 to 30.
[tex] - 6x - 30[/tex]
Thus, the answer is -6x - 30.
Answer:
-6x - 30
Step-by-step explanation:
Multiply using the distributive property.
-6x - 30
Hope this helps
at the market Miss Winn bought 3/4 IB of grapes and 5/8 idea of cherries how many ounces of grapes did Miss win by
Answers
Answer:
12 oz of grapes
Step-by-step explanation:
1 lb = 16 oz so 16*3/4 = 12
SYSTEM OF EQUATIONS
The sum of three times Sophia's age and twice Nick's age is 73. Twice Sophia's age plus four times Nick's age is 86. How old is Sophia?
Answers
2s+4n=86
Multiply top equation by 2 and then subtract second equation
4s=60
Sophia is 15
Nick is 14
Determine if the equation y = 15(1.35)* represents exponential growth or decay and justify. Hint: Think about the growth and decay equations.
Answers
Answer:sdfghgfdfghnhgfdfgh
Step-by-step explanatsdfghjhgfghjk
====================================================
Explanation:
The equation is in the form y = a*(b)^x
The 'a' is the initial or starting value. In this case, a = 15.
The b is the base of the exponent which is tied to growth or decay. If 0 < b < 1, then we have decay. If b > 1, then we have growth.
Since b = 1.35, and 1.35 > 1, this means b > 1 and the given equation represents exponential growth.
Solving 1+r = 1.35 leads to r = 0.35. This means the growth rate is 35%
In a lab experiment, 5400 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 4 hours. How many bacteria would
there be after 17 hours, to the nearest whole number?
Answers
Answer:
it’s 102747.494736, estimate is 102747
Step-by-step explanation:
Celesta and Sam found that 14 marbles would fill each pouch. There were 12 pouches. How many marbles
did they need to fill all the pouches?
Answers
Which expression is equivalent to 1/4(2 – 5x + 6)?
Answers
Answer: the answer is CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
C
What is the value of k in the following equation?
2(4k + 5) + 3(3 – 3k) = 25
Answers
Answer:
K = - 6
Step-by-step explanation:
Let's solve your equation step-by-step.
2(4k+5)+3(3−3k)=25
Step 1: Simplify both sides of the equation.
2(4k+5)+3(3−3k)=25
(2)(4k)+(2)(5)+(3)(3)+(3)(−3k)=25(Distribute)
8k+10+9+−9k=25
(8k+−9k)+(10+9)=25(Combine Like Terms)
−k+19=25
−k+19=25
Step 2: Subtract 19 from both sides.
−k+19−19=25−19
−k=6
Step 3: Divide both sides by -1.
Which of the following statements is TRUE?
A. Paying off a credit card balance in full can have a
negative impact on someone's credit score.
B. The longer you use credit responsibly, the higher your
credit score.
C. Applying for several lines of credit in a short period of
time can help boost a person's credit score.
D. Low risk borrowers tend to have low credit scores.
Answers
Answer:
C. Applying for several lines of credit in a short period of time can help boost a person's credit score.
Answer:
C. Applying for several lines of credit in a short period of
time can help boost a person's credit
Step-by-step explanation:
i took the k12 qwis pls give branliist
Which equation is equivalent to 2-2(3x - 1)=2
Answers
Answer:
it should be C
Step-by-step explanation:
I hope this helps! I am sorry if I am wrong!
Answer:
c
Step-by-step explanation:
2-2(3x-1)=2 2-6x+2=2 . 2-6x+2=2 4-6x=2 . -6x+4=2 . -6x+4-4=2-4 -6x=-2 -6x=-2 -6x/-6=-2/-6 x=1/3 .
Using the diagram below, identify the relationship of the pair of angles and find the value of x.
Answers
Answer:
The angles are supplementary to each other (their sum is 180 degrees)
x = 62°
Step-by-step explanation:
(2x+10) + 46 = 180
subtract 56 from each side
2x = 124
divide both sides by 2
x = 62°
A model rocket is launched directly upward at a speed of 28 meters per second from a height of 12 meters. The function f(t) = - 4.9t ^ 2 + 28t + 12, mo models the relationship between the height of the rocket and the time after launch. in seconds When seconds after launch will the rocket hit the ground? Do not round until the final answer. Then round your answer to two decimal places. Provide your answer below:
Answers
Answer:
6.11 seconds
Step-by-step explanation:
Given
[tex]f(t) = -4.9t^2 + 28t + 12[/tex]
Required
When will it hit the ground?
When it hits the ground, f(t) = 0.
So, we have:
[tex]0 = -4.9t^2 + 28t + 12[/tex]
Solve quadratic equation using formula
[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]t = \frac{-28 \± \sqrt{28^2 - 4*-4.9*12}}{2*-4.9}[/tex]
[tex]t = \frac{-28 \± \sqrt{1019.2}}{-9.8}[/tex]
[tex]t = \frac{-28 \± 31.92}{-9.8}[/tex]
Split
[tex]t = \frac{-28 + 31.92}{-9.8}[/tex] or [tex]t = \frac{-28 - 31.92}{-9.8}[/tex]
[tex]t = \frac{3.92}{-9.8}[/tex] or [tex]t = \frac{-59.92}{-9.8}[/tex]
[tex]t = -0.4[/tex] or [tex]t = 6.11[/tex]
Time can not be negative. So:
[tex]t = 6.11[/tex]
A local ice cream shop sells root beer floats for $2.75 and milkshakes for $6. One day the shop sold 10 more root beer floats than milkshakes and made $290. How many root beer floats were sold on this day? How many milkshakes?
Answers
Answer:
30 milkshakes and 40 root beer floats
Step-by-step explanation:
Set up a system of equation (r is root beer and m is milkshake)
2.75r+6m=290
m+10=r
Substitute
2.75(m+10)+6m=290
2.75m+27.5+6m=290
8.75m=262.5
m=30
Now plug in 30 and solve for r
30+10=40
50 POINTS AND BRAINLIEST!
Determine if the graphed function is linear or nonlinear.
Select from the drop down menu to correctly complete the sentence.
The graphed function is
A. Linear
B. Non-linear
Answers
Answer:
its A linear
Step-by-step explanation:
its going upwards and that means its linear and when the end point is going downwards that means its non linear
Answer:
my answer was incorrect my mistake
Write two ways
you could use to find 5 + 8.
Answers
8 + 5 = 13
Tai has 1/2 gallon of milk left in his
refrigerator. He pours the milk into
glasses that can each hold a 5/64 gallon.
How many glasses can Tai fill
completely with milk?
Answers
Answer:
He can completely fill six glasses, and there will be one glass 2/5 of the way full.
Step-by-step explanation:
Solve triangle ABC if a = 19, b = 16, and the m∠A = 61°.
c =
∠B =
∠C =
Answers
Answer:
A≈132.94m²
Step-by-step explanation:
A=absinγ
2=19·16·sin(61°)
2≈132.9422m²
Hope this helps!!!
Can someone help me please
Answers
Answer:
the second one. (3,-4)(6,-4)
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
because if you draw the points on a coordinate grid, you will see that there's 3 units between them
An item costs $410 before tax, and the sales tax is $24.60.
Find the sales tax rate. Write your answer as a percentage.
Answers
Answer:
$434.60
Step-by-step explanation:
$410.60 added to $24.60 equals $434.60
Which expression is equivalent to f(x)=6x^2-13x+5
Answers
Answer:
(3x - 5)(2x - 1)
Step-by-step explanation:
6x² - 13x + 5
6x² - (10 + 3)x + 5
6x² - 10x - 3x + 5
2x(3x - 5) - (3x - 5)
(3x - 5)(2x - 1)
Which means, 6x² - 13x + 5 is equivalent to (3x - 5)(2x - 1) or vice versa
Help I forgot how to do this
Answers
Answer:
number 5 is 11 and number 6 is 16
Step-by-step explanation:
you substitute a for 4 bc a equals 4 and than finish the equation 4+7=11
6. you substitute b for 2 and c for 8 and multiply which than is 16
Two angles are complementary. The measure of the first is (3x+14) and the measure of the second one is (5x-20). What are the measures of the two angles?
Answers
Answer:
x=17
Step-by-step explanation:Isolate the variable by dividing each side by factors that don't contain the variable. x=17. I hope this helps
A mathematician simplifies the expression mentally.
17.2 (20+45) - (4.75)
What is the best estimate of the value of the expression?
0 381
O 1,114
O 1,844
O 5,521
Answers
Answer:
1,114
Step-by-step explanation:
17.2(65)- (4.75)
1118 - 4.75
1113.25
Answer:
Step-by-step explanation:
1114