Answer:
144 sq cm
Step-by-step explanation:
The base is a triangle. Area of a triangle is:
A = 1/2 b • h
A = 1/2(4)•3
A = 6
There are 2 of these bases.
Area of 2 bases= 12.
There are three rectangular sides. Area of a rectangle is:
A = l × w (or b•h)
A = 5 × 11 = 55
A = 3 × 11 = 33
A = 4 × 11 = 44
Add up three rectangular faces and two bases for Total Surface Area:
12 + 55 + 33 + 44
= 144 sq cm
Answer:
144 cm ²
Step-by-step explanation:
The surface area of a right triangular prism is made up of 2 congruent triangles (these are called the "bases") and 3 rectangles.
Surface area of a right triangular prism formula
Surface area = (S₁ + S₂ + S₃)L + bh
where:
S₁, S₂ and S₃ are the side lengths of the triangleL is the length of the prismb is the length of the base of the triangleh is the height of the triangle⇒ Surface area = (3 + 4 + 5)11 + 4 × 3
= (12)11 + 12
= 132 + 12
= 144 cm²
Find the value of x.
44°
76°
to
Answer:
120°
Step-by-step explanation:
sum of angles on adjacent sides= exterior angle
x= 76+44 = 120
The concept of this question belongs to sum of internal angles of triangle and Linear pair of angles .
Solution : -Firstly , we are finding value of angle y. So sum of Angle 1 , Angle 2 and Angle y is equal to 180° because sum of all angles of internal triangle is 180°. So :
44° + 76° + y° = 180°120° + y° = 180°y° = 180° - 120°y° = 60°Therefore , value of angle y is 60° .
Now , we are finding the value of x :
As we know angle 3 ( y ) and angle 4 ( x ) is equal to 180° because they form linear pair . So :
60° + x° = 180°x° = 180° - 60°x° = 120°Therefore, value of angle x is 120° .
# [tex] \sf{ \bold{Keep \: Learning}}[/tex]The line 1, has equation 3x + 5y – 2 = 0.
(a) Find the gradient oflı.
Answer:
2
Step-by-step explanation:
because of your options
If a circle has a diameter of 11.5 feet, what is the area?
Answer:
103.87 ft.
In this case, area equals [tex]\pi r^2[/tex]
The diameter is [tex]2r[/tex]
But before worrying about anything else, we must start the problem. Let's do that now.
The first step is to find the broken-down form of the area.
A = [tex]\frac{1}{4} \pi d^2[/tex]
Next, break this equation into a solvable definition.
[tex]\frac{1}{4} * \pi * 11.5[/tex]
Lastly, solve this equation, and round.
[tex]A[/tex] ≈ [tex]103.86891~ft^2[/tex]
pls i need the answer rightnow pls pls pls im begging you pls
Answer:
20 -- 300 words
25 -- 600 words
30 -- 900 words
35 -- 1200 words
40 -- 1500 words
50 -- 2100 words
3) 600 words
4) 2100 words
5)No because the formula only accounds for ages between 20 and 50 months.
Brainliest would be appreciated
Step-by-step explanation:
CAN SOMEBODY HELP ME SOLVE THE EQUATION
Tables A, B, and C.
The only non-linear graph is D. Do not overthink questions like this, this is where schools try to trick you. You are given plot points, plot them and see if they are straight lines (linear) on the graph. If there is a bend (non-linear or peyronie's disease).
The figure above includes one cylinder and two identical rectangular prisms. The volume of one rectangular prism is 800 m3. The volume of the entire figure is?
Answer:
1,720m
Step-by-step explanation:
I took the test
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each model with the square root equation it represents.
In a parking lot there are only white cars, green cars, and red cars. If one car is selected at random from
the lot, the probability that the selected car would be a green car is 1/6, and the probability that it would
be a red car is 1/8. What is the probability that it would be a white car?
Answer:
17/24 chance for white car
Step-by-step explanation:
We know that there is a 1/6 chance that it will be green and 1/8 that it will be red so whatever's left has to be white. We can just add the fractions that we have and subtract them from one to get the probability of getting a white car.
1/6+1/8=?
Find the lowest common denominator (24)
4/24+3/24=7/24
Subtract it from 1
24/24-7/24=17/24
17/24 chance that it's white
Ver en español
In her free time, Isabelle likes to read. She kept track of the number of pages in each book she read last summer. This box plot shows the results.
Book pages
100
150
200
250
300
350
What fraction of the books had 200 or fewer pages?
Using the box plot, it is found that 200 is the median, that is 50% of the books had 200 or fewer pages.
What is a box plot?It is a plot that focuses the interquartile range of the population, that is, it gives:
The first quartile.The median.The third quartile.In this problem, they are given as follows:
The first quartile is of 175.The median is of 200.The third quartile is of 250.Hence, 50% of the books had 200 or fewer pages.
More can be learned about box plots at https://brainly.com/question/14277132
Tina and Sam are eating from the same pizza Tina eats 1/4 of the pizza and Sam eats 1/2 of the pizza how much of the pizza did they eat together
Step-by-step explanation:
The amount of pizza Tina eat
[tex] = \frac{1}{4} \\ [/tex]
The amount of pizza Sam eat
[tex] = \frac{1}{2} \\ [/tex]
The amount of pizza they eat together
[tex] = \frac{1}{2} + \frac{1}{4} \\ [/tex]
[tex] = \frac{1}{2} \times \frac{2}{2} + \frac{1}{4} \times \frac{1}{1} \\ [/tex]
[tex] = \frac{2}{4} + \frac{1}{4} \\ [/tex]
[tex] = \frac{2 + 1}{4} \\ [/tex]
[tex] = \frac{3}{4} \\ [/tex]
If Jo's misc. expenses rise by 1/3 and she starts paying for a phone that is $49 per month, how much less will she have towards next years holiday it all other expenses and her wage and bonus stay the same?
The amount that Jo will have less towards next years holiday, if all other expenses, wage and bonus stay the same is $146.88.
Original payment for the phone
The initial amout that Jo paid for the phone is calculated as follows;
amount per month = ($49) / (1 + ¹/₃)
amount per month = ($49) / (1.333)
amount per month = $36.76
For 1 year (12 months), = $36.76 x 12 = $441.12
Amount paid now$49 x 12 = $588
Amount she will have less towards next year= $588 - $441.12
= $146.88
Thus, the amount that Jo will have less towards next years holiday, if all other expenses, wage and bonus stay the same is $146.88.
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What is the value of the expression below?
(-8) 2/3
Answer:
Step-by-step explanation:
Step 1: Multiply the numerator
[tex](-8) * 2/3[/tex]
[tex](-8 * 2)/3[/tex]
[tex]-16/3[/tex]
Answer: [tex]-16/3[/tex]
Help my sister please don’t delete she needs help
In short: y = 4(L)
0)
What is the greatest side length Sarah could make with 48 inches of yarn?
4(L) = 48divide both sides by 4
L = 12 inch→ the greatest side length she could make is 12 inch.
1)
Inches on one side || 2 || 3 || 4 || 5 || 6
Inches of yarn needed || 8 || 12 || 16 || 20 || 24
2)
pattern:
inches need = one side + one side + one side + one side inches need = 4 ( one side )what is the diameter of a circle with a circumference of 84.78 inches?use 3.14 for pi,show your work please
Answer:
27 inches
Step-by-step explanation:
the formula for the circumference is 2 × pi × r
so: 2 × pi × r = 84.78
so 84.78/2pi = r
r = 13.5
we want the diameter which is 2 x r
so the diameter is 27
Find the domain {(1,8), (5,3), (7,6), (2,2), (8,4), (3,9), (5,7)}
Answer:
domain is just all of the x values while range is all of the y values
so domian is
1,2,3,5,7,8
there are 2 5's but you only put 1
never put two of the same number for range or domain
Step-by-step explanation:
8. A megaphone is formed by taking a cone with radius of 18 centimeters and an edge length of 60 centimeters from tip to base
and cutting off the tip. The
cut is made 12 centimeters along the edge from the tip and is parallel to the base. The cut produces
a new radius of 4 centimeters. Round your answers to the nearest tenth.
Hint: A megaphone is hollow, so do not include the base.
a. What is the surface area of the whole cone?
b. What is the surface area of the tip that is removed?
카
cone
megaphone
whole cone
C.
What is the surface area of only the megaphone?
The Surface area of the whole cone is 4408.56 cm²
The Surface area of the tips that is removed is 376.8 cm²
The Surface area of the megaphone(hollow) is 2712.96 cm²
What is surface area?Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.
Therefore,
Surface area of the whole cone = πr² + πrl
Therefore,
Surface area of the whole cone = πr(r + l)
where
r = radius = 18 cml = edge length = 60 cmSurface area of the whole cone = 3.14 × 18(18 + 60) = 4408.56 cm²
Surface area of the tips that is removed = 3.14 × 4 (18 + 12) = 376.8 cm²
Surface area of the megaphone(hollow) = πrl
Surface area of the megaphone(hollow) = 3.14 × 18 × (60 - 12) = 2712.96 cm²
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You pick a card at random
1) What is P(3)? ?
Answer:
probability=events over the sample space
Step-by-step explanation:
Which of the following rational functions is graphed below
Answer:
option B
Step-by-step explanation:
[tex]f(x) = \frac{x + 2}{x + 1} [/tex]
Tutorial 6 (Production, Costs and Perfect Competition) – 40 Marks
Question 1 (14 Marks)
1. Suppose you can produce water flasks according to the production process Q = K^2 + 4K + 12 -
6L + KL, and that when producing these flasks, you have a cost constraint expressed as 2L+
2L = 32
1.1. Calculate the marginal product of labour for this production process.
(2)
1.2. Calculate the marginal product of capital for this production process.
[2]
1.3. Using your answers for 1.2 and 1.3, calculate the optimum quantities of capital and labour
when producing the water flasks because the marginal product per rand spent on each input
needs to be equal when producing optimally.
1.4. Using the Lagrange multipliers method, calculate how many water flasks you can produce
whilst satisfying your cost constraint.
[6]
[4]
The marginal product of labour is -6+K a and the marginal product of capital is 2K + 4 + L.
How to calculate the marginal product?From the information given, the production process is Q = K² + 4K + 12 - 6L + KL.
The marginal product of labour will be the first derivative which will be:
= -6 + K.
The marginal product of capital will be the first derivative which will be:
= 2K + 4 + L
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write a polynomial f(x) of lowest degree that satisfies the given conditions. Zeros: -4, multiplicity 1; 3 multiplicity 2; and f(0)=-108
Answer:
First start with the factors
(3x+5)(3x+5)(6x-1) The multiplicity of 2 means there are 2 of that same factor.
Next, figure out how to get it to go through the point (0,50) Plug in these points, solve for a
50=a(3(0)+5)(3(0)+5)(6(0)-1)
50=a(5)(5)(-1)
50=-25a Divide both sides by -25
-2=a Plug this in
y=-2(3x+5)(3x+5)(6x-1) Now multiply the factors out. Will start by FOILING the first 2 factors
y=-2(9x2+30x+25)(6x-1) Now multiply the remaining factors together
y=-2(54x3+180x2+150x-9x2-30x-25) Combine like terms
y=-2(54x3+171x2+120x-25) Distribute the -2
y=-108x3-342x2-240x+50
What is the value of b?
Answer:
24
Step-by-step explanation:
In triangle STU, line VT bisects angle STU.
-> By angle bisector theorem:
[tex] \frac{67}{2b} = \frac{67}{b + 24} \\ \\ \implies \: \frac{1}{2b} = \frac{1}{b + 24} \\ \\ \implies \: 2b = b + 24 \\ \\ \implies \: 2b - b = 24 \\ \\ b = 24[/tex]
The value of b is 24
What is angle bisector theorem ?
If we consider a triangle TSU, Let the angle bisector of angle T intersect side SU at a point V between S and U. The angle bisector theorem states that the ratio of the length of SV to the length of VU is equal to the ratio of the length of ST to the length of TU.
i.e. [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]
How to find the value of b ?Here, given that, SV = 2b, VU = b+24, ST = TU = 67
∴ [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]
⇒ [tex]\frac{2b}{b+24}=\frac{67}{67}[/tex]
⇒ [tex]\frac{2b}{b+24}=1[/tex]
⇒ 2b = b+24
⇒ b = 24
Hence, b = 24
Learn more about Angle bisector theorem here :
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#SPJ2
What is the estimated temperature if the dissolved salt is 98g?
54
61
161
171
Ths solubility curve is used to show the amount of salt dissolved (solubility).
What is the solubility curve?The solubility curve is a depiction of the solubility of a substance plotted against its temperature. It can be used most times to show the solubility of a susbtance at different temperatures. This question is incomplete hence so we can not be able to obtain the solubility of the salt at this temperature.
If the solubility curve has been shown in the graph, then we can be able to obtain the solubility of the salt from the data shown on the plot.
Learn more about solubility curve: brainly.com/question/9537462
Margin of error: 0.005 ; confidence level: 96%; p^ and q^ unknown
Using the z-distribution, it is found that the minimum sample size required is of 42,190.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 96% confidence level, hence[tex]\alpha = 0.96[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.96}{2} = 0.98[/tex], so the critical value is z = 2.054.
As for the other parameters, we have that M = 0.005 and [tex]\pi = 0.5[/tex], as there are no estimates of the proportion. Hence, we solve for n to find the minimum sample size.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.005 = 2.054\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.005\sqrt{n} = 2.054(0.5)[/tex]
[tex]\sqrt{n} = \frac{2.054(0.5)}{0.005}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{2.054(0.5)}{0.005}\right)^2[/tex]
[tex]n = 42189.16[/tex]
Rounding up, the minimum sample size required is of 42,190.
More can be learned about the z-distribution at https://brainly.com/question/25890103
What is Y equals 3X +20
Answer:
y = 3x + 20
This is an equation, in slope-intercept form, which represents a the placement of a line. The 3 in the equation represents the slope of the line, and the 20 represents the y-intercept.
PLEASE HELP PYTHAGOREAN THEOREM
Answer:
[tex]\sqrt{193}\\[/tex]
Step-by-step explanation:
Therom: A^2+B^2=C^2
12^2=144
7^2=49
144+49=193
√193 since we squared 12 and 7
Hope this helps you and please mark me brainliest!
What is the area of this figure?
Answer:
Area=length×width
=12m×15m
=180m
so,the area is 180.
hope it helps!
99 PTS PLS HELP! The measures in Table A describe the lengths of snakes in inches in the reptile exhibit at the zoo.
The measures in Table B describe the lengths of lizards in inches in the reptile exhibit at the zoo.
Which statements are true?
Choose each correct answer.
The lengths of the snakes in the exhibit vary more than the lengths of the lizards.
On average, the length of each snake is about 6.2 inches away from 37.2 inches.
The lengths of the lizards in the exhibit vary more than the lengths of the snakes.
On average, the length of each lizard is about 10 inches away from 13.8 inches.
Table A - Snakes
Mean Median Mode Mean Absolute Deviation
37.2 34 32 6.2
Table B - Lizards
Mean Median Mode Mean Absolute Deviation
13.8 14 10 8.2
Answer:
B, CStep-by-step explanation:
The Mean Absoute Deviation is the measure of variability of the data set.
The greater the MAD the more spread the data.
Answer choicesA)The lengths of the snakes in the exhibit vary more than the lengths of the lizards.
Incorrect, as 6.2 < 8.2B) On average, the length of each snake is about 6.2 inches away from 37.2 inches.
Correct, as per Table A 37.2 ± 6.2C) The lengths of the lizards in the exhibit vary more than the lengths of the snakes.
Correct, as 8.2 > 6.2D) On average, the length of each lizard is about 10 inches away from 13.8 inches.
Incorrect, as per Table Bthe MAD is 8.2 not 10The area of the circle
The area of the circle formula --> [tex]\pi r^2[/tex]
[tex]\pi[/tex] ≈ 3.14r: length of radius --> 7kmLength of radius is half of diameter which is 14km long
[tex]Area = \pi r^2=\pi (7km)^2=(49\pi )km^2=153.86km^2[/tex]
Hope that helps!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the Area of given circle ~
Area of circle is :
[tex] \qquad \tt \dashrightarrow \: \pi{r}^{2} [/tex]
where, r = radius
[tex] \tt r = d/2 = 14/2 = 7 km [/tex]Now, let's calculate it ~
[tex] \qquad \tt \dashrightarrow \: a = \pi{}^{}×(7)² [/tex]
[tex] \qquad \tt \dashrightarrow \: a = 49\pi{}^{}km² [/tex]
That's the answer I terms of π, but we can also plug in the appropriate value of pi as 3.14
[tex] \qquad \tt \dashrightarrow \: a=49\times 3.14{}^{} [/tex]
[tex] \qquad \tt \dashrightarrow \: a= 153.86 \: \: km²[/tex]
[tex] \qquad \tt \dashrightarrow \: area \approx 154\: \: km²[/tex]
Write the following in words in international system with comas:
34407615
Answer:
34,407,615
Explanation : 34 millions 407 thousands 615
Solve for x in the equation x2-12x+36 = 90
X
=
O X=6+3/10
O x=6+217
X
X= 12+3^22
X= 12+3/10
Answer:
Step-by-step explanation:
hello : (x-6)² = 90 .....continu