Answers
Answer:
440cm³
.45
1.49538 ft
43.6
Step-by-step explanation:
1.
Start by finding the area of the base
.5*(a+b)*h
.5*(8+14)*4= 44
Then just multiply this by distance between the ends
44*10=440
2.)
To get from 2.7 to 9 we muiltply by 9/2.7= 3.33333333
which means that
3.333333333x=1.5
x=.45
3.)
Height:shadow
6.5:1.8
5.4:x
To get from 6.5 to 5.4 we multiply it by (5.4/6.5) or .8307
which means to get from 1.8 to x we muiltply 1.8*.8307= 1.49538
4.)
Same kind of deal as the last one
to get from 13 to 27 we mulitply by (27/13) or 2.076923 which means to get from 21 to x we multuply 21*2.076923=43.6
Here is the answer for the volume of the trapezoidal prism.
We make two rectangular prisms out of the shape, or a rectangular prism and two triangles.
For this case, I'll just do the two prisms.
Here is the formula for volume we'll be using.
V = lwh (shape's volume = length × width × height), or
V = bh (shape's volume = base area × height)
A reference of the rectangular prism can be identified because the length of the horizontal crest is marked at 8 centimeters.
Following V = lwh, we already have the length we need.
The width of the reference prism that doesn't include the diagonal triangular prisms is 10 centimeters.
l = 8 cm
w = 10 cm
And as indicated by the line inside,
h = 4 cm
We'll label this first volume calculation V[tex]_{1}[/tex].
V[tex]_{1}[/tex] = 8 cm × 10 cm × 4 cm
Now for the second volume.
Since two congruent right triangular prisms can come together to equal a second rectangular prism whose volume is two times their original shapes, we can use the same formula
V = lwh
And in order to determine what values are needed, we
subtract the length of the trapezoid's base from the rectangular prism's.And that's it. No adjustments are made in the width or height. Those measurements are equal to the reference rectangular prism (center prism).
14 cm - 8 cm = 6 cm
l = 6 cm
w = 10 cm
h = 4 cm
This part of the enumeration will be V[tex]_{2}[/tex].
V[tex]_{2}[/tex] = 6 cm × 10 cm × 4 cm
V[tex]_{1}[/tex] + V[tex]_{2}[/tex] = V[tex]_{t}[/tex], or the actual volume of the trapezoidal prism.
(8 cm × 10 cm × 4 cm) + (6 cm × 10 cm × 4 cm) = 320 cm + 240 cm = 560 cm.
You round to 2 decimal places, so V[tex]_{t}[/tex] = 560.00 cm.
2. x = 0.45[tex]\frac{2.7}{x} = \frac{9.0}{1.5}[/tex]
Let's look at the right side.
9.0, or 9, divided by 1.5 equals 6.
Now your equation looks like
[tex]\frac{2.7}{x} = 6[/tex]
You want to get the variable x by itself so that there aren't any real number values that stop the proportion from being simplified.
So, we multiply x on both sides.
[tex]\frac{2.7}{x}[/tex] * [tex]x[/tex] = [tex]6[/tex] * [tex]x[/tex]
On the left side of the = sign, the x on the denominator is being cancelled out.
Now it looks like
[tex]2.7 = 6[/tex] * [tex]x[/tex]
Divide 6 from both sides to cancel the 6 from the right side and get the new value of x by itself.
2.7 ÷ 6 = 0.45
0.45 is already in the hundredths, so there's no need to round up or down.
3. Height of tree = 19.5 ftAll you have to do here is find the ratios of the two figures to their shadows.
It's going to look like the [tex]2^{nd}[/tex] problem because all we're doing is finding the missing variable.
[tex]\frac{h}{s}[/tex] will represent the height-shadow ratio.
For a 6.5-foot human to cast a 1.8-foot shadow,
[tex]\frac{h}{s}_1 = \frac{6.5}{1.8}[/tex]
6.5 ft ÷ 1.8 ft ≅ 3.611
All we have to do now is find a tree height that divides by its shadow, 5.4, to get roughly 3.611.
We can solve that by multiplying 3.611 with the shadow's height.
3.611 * 5.4 = 19.5
The tree is 19.5 feet tall.
4. x = 43.6
These two triangles aren't congruent, but similar.
Like the last two problems, finding the ratio between the sides is key to solving the problems.
This time, the ratios of the two given sides for each triangle will let us solve the side-side-side (SSS) rule, if we take it a step further and use the Pythagorean Theorem. For now, just solve the target of the problem.
[tex]\frac{27}{13} = \frac{x}{21}[/tex]
27 ÷ 13 = 2.077
[tex]2.077 = \frac{x}{21}[/tex]
[tex]2.077[/tex] * 21 = [tex]\frac{x}{21}[/tex] * 21
Cancel the 21s from the denominator and factor on the right side.
43.617 = x
x = 43.6 because you round to one decimal.
Related Questions
A shelf measures 3.5m long and 50cm high, how many of these
boxes would you be able to store on the shelf?
Answers
Answer:
answer choices?
Step-by-step explanation:
a market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new, expensive television commercial about the product g which is the most appropriate test
Answers
Answer and explanation:
Answer:
Two sample t test
Explanation:
The test that could be used here is the two sample t test. The two sample t test compares two groups to ascertain if there is an average significant different between the two groups being compared, also making sure the result of difference is not random. For instance to test the above example, the two sample t test compares the group before they watch the commercial with the group after the commercial to know if there is a significant difference between the two groups.
Can someone help me please faster
Answers
8.The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5 lb. The parcel service wishes to establish a weight value c beyond which there will be a surcharge. What value of c is such that 99% of all parcels are at least 1 lb under the surcharge weight
Answers
Answer:
The value is c = 21.1445.
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5 lb.
This means that [tex]\mu = 12, \sigma = 3.5[/tex]
What value of c is such that 99% of all parcels are at least 1 lb under the surcharge weight?
This 1 added to the value of X for the 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.327 = \frac{X - 12}{3.5}[/tex]
[tex]X - 12 = 2.327*3.5[/tex]
[tex]X = 20.1445[/tex]
1 + 20.1445 = 21.1445
The value is c = 21.1445.
Compute the product using (a) the definition where Ax is the linear combination of the columns of A using the corresponding entries in x as weights, and (b) the row-vector rule for computing Ax. If a product is undefined, explain why.
Answers
Answer:
When the number of rows or number of columns in the given matrix does not match the number of entries in the vector x.
When the number of columns in A [tex]\neq[/tex] the number of rows in B.
The matrix-vector is not defined.
Step-by-step explanation:
For example:-
Step 1:
Let's assume
[tex]A=\left ( \begin{matrix}-6 & 9\\ 2& 7\\ 1 & 0\end{matrix} \right )[/tex]3x2 & [tex]B=\left ( \begin{matrix}1\\ -6\\ 7\end{matrix} \right )[/tex]3x1
Since matrix multiplication of matric A and matrix B is only possible,
When the number of columns in A = Number of rows in B.
Step 2:
Let's A as m x n; Here m = rows and n=columns
B as p x q; Here p = rows and q=columns.
When n [tex]\neq[/tex] p, the matrix-vector is not defined.
That is matrix multiplication Ax is not possible.
Hence the matrix is not defined.
Peter and his four brothers combined all of their money to buy a video game. If 25% of the total money is Peter's, and $10.00 of the total money is Peter's, how much do all five brothers have combined?
A.
$2.50
B.
$50.00
C.
$30.00
D.
$40.00
Answers
Answer:
t represents the total amount
0.25t = 10.00
Can you solve for t and answer?
Or logically
Peter's 10.00 is 1/4 (25%) of the total.
Therefore 4/4 is $40.00
Step-by-step explanation:
Please mark brainliest
Lou says to his granddaughter Audrey, "Even if you tripled your age and added 9, you still wouldn't be as old as I am.” Lou is 60 years old. Write and solve an inequality to determine the possible ages Audrey could be.
Answers
Answer:
3x+9 < 60 where x = Audrey's age
Step-by-step explanation:
Lou says "even if you tripled you age", which means that if Audrey's age is represented by the variable x, then we would multiply it by 3 to get 3x. the next part says "and add 9". We already have the 3x, so we would just tack on a +9 to get 3x + 9. The last part says "you still wouldn't be as old as me." Given that 3x+9 represents Audrey's age, this equation would have to be less than Lou's age, which in this case is 60.
3. Lines of symmetry divide figures into two equal parts.
True
False
Answers
Answer:
False
Step-by-step explanation:
You can have more than one line of symmetry to divide figures into more than two equal parts.
The perimeter of the classroom shown is 6x + 3. Find the length of the missing side.
Answers
Answer:x+1
The perimeter of a certain polygon is the sum of the measures of all its sides. If we are to use this concept with the given polygon above then that would be,
P = (3x + 1) + x + x + ?
We are also given that the perimeter is equal to 6x + 2. We substitute this to the equation derived,
6x + 2 = (3x + 1) + x + x + ? Simplifying, 6x + 2 = 5x + 1 +? ? = x + 1 Answer : the last side or ? is equal to x + 1.
According to the table below, what is the probability that the grade of a student chosen at random will be a B or higher? Grade A B с D F 4 Probability 2 35 3 35 17 35 9 35 35 3 OA. B. 7 Oc. VIN O D. / SUBMIT
Answers
Answer:
1 / 7
Step-by-step explanation:
Given the distribution above :
P(grade B or higher) can be defined explicitly as :
P(Grade A) + P(Grade B)
P(grade A) = 2/35
P(Grade B) = 3 / 35
Hence,
P(Grade B or higher) = 2/35 + 3/35 = 5/35 = 1/7
What is the circumference of a circle with a diameter of 2.9 cm?
Answers
Answer:
C≈9.11
Step-by-step explanation:
e these word problems. Check your answers.
A man had paid $175.50 in interest at the end of three years. How much had he borrowed at 9% per year?
(The problem gives you the interest, rate, and time. You need to find the principal.)
Answers
Answer:47.38
Step-by-step explanation:175.50/100 x27im not that sure
Help me out please???
Answers
9514 1404 393
Answer:
2 < x < 15
Step-by-step explanation:
The triangle inequality requires all of ...
(x +11) +(2x +10) > (5x -9) ⇒ 30 > 2x
(2x +10) +(5x -9) > (x +11) ⇒ 6x > 10
(5x -9) +(x +11) > (2x +10) ⇒ 4x > 8
The solutions to these are ...
x < 15
x > 5/3
x > 2
So, the final requirement that has x satisfying all of these is ...
2 < x < 15
Find the dimensions of a cube with a
volume of 125 cubic cm. (Hint: Remember
that a cube has equal dimensions
because all the sides are squares.)
Answers
I hope this helps
The sales tax for an item is 8%. The sales tax for an item that costs $130.19 is
Answers
Answer:
Step-by-step explanation:
Answer:
The sale tax is $10.42
Maria is planting a row of flowers in a bed 28 feet long. The instructions say to space the plants 1 foot apart, allowing room for 28 flowers. The flowers come in flats containing 6 plants per flat.
How many flats will she need?
How many plants will she have left over?
Answers
Answer:
She will need 5 flats.
She will have 2 plants left over.
Step-by-step explanation:
Since she needs 28 flowers and there are 6 flowers in each plant.
To find the number of flats she needs simply divide 28 by 6
=28/6
=4.67
=Rounding off we get 5
Now we know that she need 5 flats so 5 flats will contain 5*6= 30 flowers total.
Since she has space for 28 flowers only the remainder will be;
30-28=2
Therefore she will have 2 plants leftover.
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal? 77
Answers
Answer:
77 boxes
Step-by-step explanation:
1000/13= 76.9230769
They can't sell part of a box and a little extra money never hurt any one.
Answer:
77
Step-by-step explanation:
You already answered the question, but- 13 x 77 = 1001
If 5 times a number increased by 30 is 15, what is the number?
Answers
Answer:
let x=the number
5x+30=15
5x=15-30
5x=-15
5x/5=-15/5
x=-3
Let's keep the,
Value of unknown number as y.
Then find the y,
→ 5y + 30 = 15
→ 5y = 15 - 30
→ 5y = -15
→ y = -15/5
→ [y = -3]
Therefore, -3 is the number.
select the correct answer
what is the left hand limit of g(x)=
[tex] \frac{ {x}^{2} - 25 }{x - 5} [/tex]
as x aproaches 5
Answers
10
Step-by-step explanation:
[tex]\displaystyle \lim_{x \to 5} \left(\dfrac{x^2 - 5}{x - 5} \right)= \lim_{x \to 5} \dfrac{(x+5)(x-5)}{(x-5)}[/tex]
or
[tex]\displaystyle \lim_{x \to 5} (x + 5) = 10[/tex]
Find the inverse of the given function
f(x)=4x-12
Answers
Please mark brainliest!
A study found that 62% of drivers believe that they are equally capable of driving a car when texting and when not texting. Of those 62%, 34% had been in an accident; 75% of those had been texting. Which of the following inferences can be made from this data?
A large number of drivers overestimate their abilities.
Most drivers are capable of texting and driving simultaneously.
25% of those texting do not get into accidents.
38% of drivers are more cautious than the rest.
Answers
Answer:
your answer is c
Step-by-step explanation:
On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5). What is the equation of the line parallel to the given line with an x-intercept of 4? y = x +
Answers
Answer:
Step-by-step explanation:
A line that is parallel to the line that goes through (-3, -3) and (-1, 5) will have the same slope as the one we will find when we plug those numbers into the slope formula. Let's do that first:
[tex]m=\frac{5-(-3)}{-1-(-3)}=\frac{5+3}{-1+3}=\frac{8}{2}=4[/tex] so the line we need to write has a slope of 4. Moving on...
If the x-intercept we need is 4, that means that we need to understand what an x-intercept is. The x-intercept exists where y = 0; so what we need to do is to write the equation of the line that has a slope of 4 and passes through the point (4, 0). Doing that:
y - 0 = 4(x - 4) and
y = 4x - 16
Answer:
Answer above is correct!
First Box: 4
Second Box: -16
Step-by-step explanation:
Hope this helps :D
Write an equation (in slope-intercept form) for the line that passes through the points (4, 8) and (6, 2).
Answers
Answer:
Step-by-step explanation:
Slope-intercept form implies that we need the slope...so let's do that first. The formula to find the slope being given 2 coordinates is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] so filling in:
[tex]m=\frac{2-8}{6-4}=\frac{-6}{2}=-3[/tex] so the slope is -3. Now we will use that slope in the point-slope form of a line and write the equation.
Point-slope form is
[tex]y-y_1=m(x-x_1)[/tex] and filling in:
y - 8 = 3(x - 4) (you can choose either point to use for x and y; you'll get the same equation either way...PROMISE!)
y - 8 = 3x - 12 and
y = 3x - 12 + 8 so
y = 3x - 4 and that's the line in slope-intercept form.
Emma signed up for a streaming music service that costs $6 per month . The service allows Emma to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $0.75 per song. How much total money would Emma have to pay in a month in which she downloaded 40 songs? How much would she have to pay if she downloaded s songs ?
a Cost for 40 songs :
Cost for s songs :
Answers
Answer:
She would have to payed 36 dollars;
for the second part, i dont get it
Step-by-step explanation:
.75x40= 30
30+6 = 36
Answer:
Cost for 40 songs: $36
Cost for s songs: 0.75s + 6
Step-by-step explanation:
Set up an equation:
Variable s = number of songs
Variable x = number of months
0.75s + 6x
Solve for 40 songs in 1 month:
0.75(40) + 6(1)
30 + 6
$36
Solve for s songs:
0.75s + 6(1)
0.75s + 6
Identify the vertex of the graph tell whatever it is a minimum or maximum
Answers
Answer:
There's no Image. I guess you forgot to send.
Helppppppppppppppppp
Answers
Helppp ASAAPPPP WILL MARK AS BRAINLIST
Answers
Can someone please help me ??
Answers
Answer:
D
Step-by-step explanation:
Let w represent the width
Length=18+W
And width=w
So area of a Triangle equals (length times width)divided by two
Area=(18+w)(w)/2
And the area is given to us as 189
180=(18w+w^2)/2
Multiplying both sides by two yields
360=18w+w^2
The subtract 360 from both sides to get
w^2 +18w-360=0
A figure is shown with the given dimensions. What is the area, in square feet of the figure?
Answers
Answer:
area of the figure=1/2×(10+6)×3
=24 square feet
2+3=????????????????????????
Answers
Explanation: Use a calculator :)