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.
Can anyone solve this?
Answer:
They are congruent
Step-by-step explanation:
The reason that WK is congruent to WL is because both come from the same origin of W and they both end up in the same place on their side. Which means if WK and WL are congruent, that means that AK and AL are congruent as well.
5
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O the Made is - and contents the trenta (0,7)
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6
Help me
Answer
6
Step-by-step explanation:
help omg, it would suck if anyone with big mommy milkers can teach me the answer
Answer:
Is it a square? If so, then the other side would be a 98 since all sides in a square are equal
Step-by-step explanation:
2/5=2÷[blank]
fill in the blank.
Answer:
5
Step-by-step explanation:
2/5 is the same thing as 2÷5 since / and ÷ both mean to divide. So therefore your blank would be 5.
how do u find 10% of 300
Answer:
30
Step-by-step explanation:
10/100 = x/300
10x300=3000
3000/100 = 30
There are 88 marbles in a bin and 50 percent of the marbles are red how many red marbles are in the bin ?
Answer:
44
Step-by-step explanation:
50% is half of the whole
88/2=44
Answer:
44
Step-by-step explanation:
88/2
Help with this math image below
The answer is 'Right'.
Step-by-step explanation:
Sum of angles in a triangle = 180°
Angle C = 180 - 58 - 32
= 90°
90° is defined as a right angle.
Therefore, triangle ABC is classified as a right-angled triangle.
Biết được hàm cầu và hàm tổng chi phí của doanh nghiệp như sau:
P = 12 - 0,4Q
TC = 0,6Q2 + 4Q + 5
Hãy xác định sản lượng tối ưu, giá, tổng lợi nhuận và tổng doanh thu
a) Khi hãng theo đuổi mục tiêu tối đa hoá lợi nhuận
b) Khi hãng theo đuổi mục tiêu tối đa hoá doanh thu
c) Khi hãng theo đuổi mục tiêu đạt doanh thu càng nhiều càng tốt có điều kiện ràng buộc về lợi nhuận phải đạt là 10.
Answer:
English bru?
Step-by-step explanation:
A semi-elliptical arch rises 20 feet above a channel connecting two lakes. The width of the ellipse measures 50 feet. Write an equation of the ellipse. Let the center of the channel be located at the origin.
9514 1404 393
Answer:
x^2/625 +y^2/400 = 1
Step-by-step explanation:
The semi-major axis is a=25, the semi-minor axis is b=20. The equation is ...
x^2/a^2 +y^2/b^2 = 1
x^2/625 +y^2/400 = 1
What is the value of the expression:5m-2n when m=3 and n=5?
9514 1404 393
Answer:
5
Step-by-step explanation:
Put the numbers where the letters are and do the arithmetic.
5(3) -2(5) = 15 -10 = 5
Answer:
5
Step-by-step explanation:
5m - 2n
Where, we have given ; m = 3 & n = 5
plug the value in the equation
= 5( 3 ) - 2 ( 5 ) = 15 - 10= 5The Aztec came to power in central Mexico
during the A.D 1300s.
fact or opinion
Answer:
fact
Step-by-step explanation:
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
x = -8, x =0 and x =6
Step-by-step explanation:
f(x) = 0 means when it crosses the x axis or when y = 0
There are 3 places when it crosses the x axis
x = -8, x =0 and x =6
A merchant bought 300 apples at the rate of 5 for RS.90 and sold 120 of them at Rs.300 per dozen. If he wants to make a profit of RS.2100 in all, at what rate per dozen should he sell the rest of them?
Answer:
I think he should continue with the same rate of Rs300 per dozen to gain profit of Rs2100
At the rate of Rs 90 pre 5 apples he have to pay Rs 5400 for 300(25 dozen) apples.
total he have 25 dozen of apples.if he sold 12 dozen of appels at 300 per dozen then he earns Rs 3600. according to the merchant goal he wanted to make profit of 2100.we will add rs 2100 to CP hence we will get SP of Rs 5400+2100=7500. if he had already sell 12 dozens at rs 3600 then we will reduce the amount from SP hence we will get Rs 3900 to be earn. 13 dozens of apple is left so we can divide 3900/13 and we will get Rs 300.
if he continues selling those remaining 13 dozens of apple at the same rate the he can make profit of rs 2100.
Consider this example on how different a median can be from a sample. Suppose there is a company that mentions the average salary at Company A last year was $ 135,750 per year. Being interested in this you try to investigate this. You discover there are 8 individuals, including the business owner, that works at the company. You discover that the salaries of the 7 individuals are surprisingly low. The salaries of those 7 individuals are $8,000, $8,000, $7,000, $11,000, $15,000, $17,000, and $20,000. You then discover the salary of the business owner to be $1,000,000.
Compare the mean with the median? What does this show?
Find Q1 (first quartile) , Q3 (third quartile) , and Interquartile Range (IQR)?
Are there outliers? Please prove there is an outlier using the Q1-1.5*IQR and Q3 + 1.5*IQR formulas?
Find the 10% trimmed mean of the 8 salaries above. Compare this with the median found in part a.
What do you think represents a more typical salary of the organization above? Would you want to work for this company?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
8000, 8000, 7000, 11000, 15000, 17000, 20000, 1000000.
Mean = Σx / n = 1086000 / 8 = 135750
Median = 1/2(n+1)th term = 8000
The lower quartile :
Q1 = 1/4(n+1)th term
Q1 = 8000
Q3 = 3/4 (n+1)th term
Q3 = 18500
IQR = 18500 - 8000 = 10500
OUTLIER :
8000 - (1.5*(10500)) = - 7750
18500 + (1.5*(10500)) = 34250
10% trimmed mean
10% * 8
Cut off 1 from the top and bottom
Data becomes : 8000, 8000, 11000, 15000, 17000, 20000
Trimmed mean = 13166
A mixture of 40 liters of paint is 25% red tint, 30% yellow tint and 45% water. 8 líters of yellow tint are added to the original mixture.
Answer:
The amount of yellow tint would be 33.84%
Step-by-step explanation:
What is the equation of the following line?
Answer:
d
Step-by-step explanation:
i think so
por favor ayudaaaaaa
Answer:
D
Step-by-step explanation:
Pitágoras
A^2 = B^2 + C^2
A^2 = 14^2 +5^2
A^2 = 196 + 25
A = √221
Identify the value for C in the following equation that would make the conic section a parabola: 2x2 + Cy2 + 3x + 5y + 1 = 0
Given:
The conic equation is:
[tex]2x^2+Cy^2+3x+5y+1=0[/tex]
To find:
The value of C such that the given conic equation make a parabola.
Solution:
The general for of conic equation is:
[tex]Ax^2+Cy^2+Dx+Ey+F=0[/tex]
This equation represents a parabola is either A=0 or C=0 but not both equal to zero.
The given equation is:
[tex]2x^2+Cy^2+3x+5y+1=0[/tex]
Here, coefficient of [tex]x^2[/tex] is A=2 and coefficient of [tec]y^2[/tex] is C.
Since A is not equal to 0, therefore C must be equal to 0 to form a parabola.
Therefore, the only value of C is 0.
Find the volume of the cylinder
NEED HELP ASAP
A) 923.6m^3
B)131.9m^3
C)263.9^3
D)791.7^3
Answer:
A) 923.6m^3
Step-by-step explanation:
[tex]V=\pi r^{2} h\\V=\pi 7^{2} 6\\V=923.6[/tex]
IM BEING TIMEDDD PLEASE HELPPPPPP
Choose the correct simplification of (6x3 − 7x − 4) + (4x3 + 8x + 3). (5 points)
2x3 − 15x − 7
10x3 + x − 1
2x3 + 15x + 6
10x3 − x − 1
Answer:
10x^3 + x - 1
Step-by-step explanation:
(6x^3 -7x - 4) + (4x^3 + 8x + 3)
Combine like terms
6x^3 + 4x^3 = 10x^3
Combine like terms
-7x + 8x = x
Combine like terms
-4 + 3 = -1
Combine the results of the terms
10x^3 + x - 1
Answer this pls. its all about the pythagorean theorem thanks
Answer:
The answer is below
Step-by-step explanation:
A triangle is a shape with three sides and three angles. There are different types of triangles such as isosceles, equilateral, scalene, obtuse, acute and right angled.
In a right angled triangle, the side with the longest length is known as the hypotenuse and this sides is always opposite to the right angle (90 degrees). Pythagoras states that the square of the hypotenuse is equal to the sum of the square of the remaining sides.
a) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 5(3) = 15
u² = h² + b² = 15 + 3² = 24
u = √24
b) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 4(2) = 8
h = √8
c) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 7(7) = 49
h = 7
u² = h² + b² = 7² + 7² = 98
u = √98
t² = h² + a² = 7² + 7²
t = √98
A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tan B, sinB, and cos B. (marking brainlist)
Answer:
tan B = 12 /5
sin B = 12/13
cos B = 5/13
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan B = opp/ adj = 12 /5
sin B = opp/hyp = 12/13
cos B = adj/hyp = 5/13
Answer:
Sine of B = 12/13
Cos of B = 5/13
Tan of B = 12/5
Step-by-step explanation:
In this case, the opposite is 12, the adjacent is 5 and the hypotenuse is 13.
sin is opposite/hypotenuse
cos is adjacent/hypotenuse
and
tan is opposite/adjacent
if I simplify the formula -3 (-10)+5(-10)=
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.16. The probability that it will not rain and the flight will leave on time is 0.79. What is the probability that it is not raining if the flight has been delayed?a. P(delayed | rain) = 0.08.
b. P(delayed | rain) = 0.083.
c. P(rain | delayed) = 0.06.
d. P(rain | delayed) = 0.056.
Answer:
The appropriate answer is "0.437".
Step-by-step explanation:
Given:
P(rain) = 0.14
then,
P(no-rain) = 1-P(rain)
= 1-0.14
= 0.86
P(delay) = 0.16
P(rain and on time) = 0.79
then,
By using the conditional probability, we get
⇒ [tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]
or,
⇒ [tex]P(no \ rain|delay) = \frac{P(no \ rain \cap delay)}{P(delay)}[/tex]
By substituting the values, we get
⇒ [tex]=\frac{0.07}{0.16}[/tex]
⇒ [tex]=0.437[/tex]
If f(1)=4f(1)=4 and f(n)=f(n-1)^2+2f(n)=f(n−1)
2
+2 then find the value of f(3)f(3).
Answer:
f(3) = 326
Step-by-step explanation:
Given the function
f(n)=f(n-1)^2+2
If f(1) = 4
f(2) = f(1)^2 + 2
f(2) = 4^2 + 2
f(2) = 16 + 2
f(2) = 18
f(3) = f(2)^2 + 2
f(3) = 18^2 + 2
f(3) = 324 + 2
f(3) = 326
Write an equation of a line that passes through the point (2,6) and is parallel to the line y = -3
Answer:
y=6
Step-by-step explanation:
Let us start with the general equation of a line, y=mx+b. m represents the slope of the line, b represents the y intercept, and the y and x represents the values of the coordinate that the line passes through.
In this case, we know our line is parallel to y=-3, thus it has the same slope as it. Notice that in y=-3, there is no x. Therefore, the slope must be 0!
We now have equation:
[tex]y=0x+b[/tex]
Let us plug in the coordinate it passes through (2,6), to solve for b.
[tex]6=0*2+b\\6=b\\[/tex]
Now we have everything! Let us write the equation of the line now.
[tex]y=6[/tex]
I hope this helps! Let me know if you have any questions :)
The sum of two numbers is thirteen. Using x to represent the larger of the two numbers, translate "the difference between four more than the larger number and twice the smaller number" into a variable expression. Then simplify.
Determine the following information about each value in a list of positive integers. a. Is the value a multiple of 7, 11, or 13? b. Is the sum of the digits odd or even? c. Is the value a prime number?
Help and explain pls and thankyouuu
Answer:
third one
Step-by-step explanation:
l 3q-2 l = 7
drop absolute value symbols and set up two equations
3q - 2 = 7 or 3q - 2 = -7
3q = 9 3q = -5
q = 3 q = [tex]\frac{-5}{3}[/tex]
Answer:
3q-2=7
The two will move other side of equal sign from - 2 to +2
3q=7+2
3q=9
/3 in both side
q=3
5th grade math. correct answer will be marked brainliest, answer the blank one!!
