Given:
A figure that contains a right triangular prism and cuboid.
To find:
The volume of the figure.
Solution:
The dimensions of cuboid are 16 in, 7 in and 3 in.
So, the volume of the cuboid is:
[tex]V_1=Length\times Width \times height[/tex]
[tex]V_1=16\times 7 \times 3[/tex]
[tex]V_1=336[/tex]
The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is
[tex]B=\dfrac{1}{2}\times Base\times Height[/tex]
[tex]B=\dfrac{1}{2}\times 3\times 5[/tex]
[tex]B=7.5[/tex]
The volume of a prism is:
[tex]V_2=Bh[/tex]
Where, B is the base area and h is the height of the prism.
[tex]V_2=(7.5)(6)[/tex]
[tex]V_2=45[/tex]
The volume of combined figure is:
[tex]V=V_1+V_2[/tex]
[tex]V=336+45[/tex]
[tex]V=381[/tex]
Therefore, the volume of the figure is 381 cubic in.
PLEASE HELP!! WILL GIVE BRAINLIST!!!!! I NEED THIS ASAP
In 9.8326, in which place is the 6?
Answer:
the ten thousands place
Step-by-step explanation:
uh no explanation too straight forward.
Answer:
the ten-thousandths place
Step-by-step explanation:
Arrange in ascending (increasing) order. 7, -3, 0, -9, 4, -1, 17
Answer:
-9, -3, -1, 0, 4, 7, 17
Step-by-step explanation:
Answer:
-9,-3,-1, 0,4, 7,17
__________>
increasing order
DUE IN A HALF HOUR! HELP QUICK!
Answer:
x<=4, put the closed circle on "4" with the arrow going all the way left
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, How many more hot dogs would Winston needto sell to earn a total of $175.00 ?
Answer:
Winston would need to sell 14 more hot dogs to earn a total $175
Step-by-step explanation:
HELP HELP HELP HELP JUST TWO SMALL THINGS
put down whatever pls give me actual answers
Answer:
for what question i dont see the quetsion
Step-by-step explanation:
Eva buys online tickets to a play for her family. Each ticket costs $45.00 and there is a fee of $17.99
Answer:
$62.99
Step-by-step explanation:
Given data
Cost of ticket= $45.00
Fee= $17.99
Hence the expected amount she is to pay, that is the total cost of the ticket is
=45.00+17.99
=$62.99
Solve for x. Round your answer to the nearest tenth (0.1)
Answer:
[tex]x\approx 7.0[/tex]
Step-by-step explanation:
Since we are given a right triangle, we can use right trigonometric ratios.
x is the opposite side to our angle. 10 is the adjacent side to it. Thus, we can use the tangent ratio:
[tex]\displaystyle \tan(\theta^\circ)=\frac{\text{opposite}}{\text{adjacent}}[/tex]
Substitute:
[tex]\displaystyle \tan(35^\circ)=\frac{x}{10}[/tex]
Solve for x:
[tex]x=10\tan(35^\circ)[/tex]
Use a calculator:
[tex]x=7.0020...\approx 7.0[/tex]
x=7 yards
Answer:
Solution Given:
Opposite = x
base=10yards
and angle is 35°
we know that
relationship between opposite and base is given by Tan angle
so
Tan 35°= opposite/base
Tan 35°*10=x
x= 7.002
x≈7 yards
What is the prime factorization of -14x^4
Suppose you have a bag of colored plastic disks and you choose one without looking. The probability the disk you choose is is P() . Write this probability as a decimal. Use a word or phrase to describe this probability.
Question:
Suppose you have a bag of colored plastic disks, and you choose one without looking. The probability the disk you choose is yellow is P(yellow)=5/25.
Write this probability as a decimal.
Use a word or phase to describe this probability
Answer:
[tex]P(yellow)=0.2[/tex]
Unlikely event
Step-by-step explanation:
Given
[tex]P(yellow)=\frac{5}{25}[/tex]
Solving (a): Express as decimal
[tex]P(yellow)=\frac{5}{25}[/tex]
As decimal, we have:
[tex]P(yellow)=0.2[/tex]
Solving (b): Description
Since the probability is closer to 0 than 1, we can say that the probability of picking a yellow is unlikely
Completely factor the following expression
x^2+6xy+3y^2
Please answer this ASAP I have 10 minutes to finish it
Answer:
No solution
Step-by-step explanation:
I'll mark you brainliest if you help me with my previous math questions.
Answer:
ok
Step-by-step explanation:
The length and breadth of a rectangular ground is 30 m and 20 m respectively.A boy moves around the ground 5 times early morning everyday.Find the distance covered by him?
Answer:
500m
Step-by-step explanation:
a rectangle has 4 sides, so 30=60 and 20=40
60x5=300
40x5=200
300+200=500
500m
reason of 500
The main reason for this is he ran AROUND the rectangle and did it 5 TIMES, doing it once would be 100m.
Anaijah is starting her new clothing line. She sells t-shirts for $10 each and hoodies for $25 each. If on Saturday Anaijah sells 9 items and makes $120. Write a system of equations that can be used to determine how many of each item did Anaijah sell. Make sure to define all variables
Answer:
9x = 120
x= [tex]\frac{43}{3}[/tex]
Step-by-step explanation:
What is the value of the expression 6c^2 - 5d + 8, when c=5 and d=4?
Answer:
138
Step-by-step explanation:
6c^2- 5d +8
6(5)^2- 5(4) + 8
6(25) - 5(4) + 8
150 - 5(4) +8
150 - 20 + 8
130 + 8
138
1. Write the equation of a line through the points (-4,7) and (-6,2). 2. Write the equation of a line through the points (2,-9) and (2,6) 3. Write the equation of the line perpendicular to the line in #1 with the same x-intercept
Answer:
Step-by-step explanation:
1. Write the equation of a line through the points (-4,7) and (-6,2). 2. Write the equation of a line through the points (2,-9) and (2,6) 3. Write the equation of the line perpendicular to the line in #1 with the same x-intercept
HELP ME FASTTTTTTT !!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
50 degrees ( Vertically opposite)
Hope it helps
Step-by-step explanation:
Find the area of the trapezoid by decomposing into two triangles.
Answer:
32
Step-by-step explanation:
I am pretty sure the answer is 32
Which two ordered pairs would be on the graph for the coordinates listed in the table?
Answer:
(10,54) and (11,59)
Step-by-step explanation:
those ordered pairs are the closest to one another.
What’s the answer pls help meee
Answer:
3 hours
160 - 55 = 105
105 ÷ 35 = 3
Answer:
3 hours
Step-by-step explanation:
First, we must turn this into an equation:
35n + 55 = 160
N = number of hours
Next, solve:
35n + 55 - 55 = 160 - 55
35n = 105
n = 3
The plumber was there for 3 hours.
Find PQ!!!!!!!!!!!!!!!!!!!!!!!
i just need help finding y thank you
Answer:
x=9.43mm
Step-by-step explanation:
H= A/C
H=9.15/cos(14)=9.43mm
Answer:
9.43
Step-by-step explanation:
If x = 2.28
pythagoras theory that a^2 + b^2 = c^2
so 9.15^2 + 2.28^2 = 88.920
[tex]\sqrt88.920[/tex]=9.429
The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.
Answer:
(look in the the Step by step)
Step-by-step explanation:
When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.
.. A = (1/2)*d₁*d₂
Substituting the given information, this becomes
.. 58 in² = (1/2)*(14.5 in)*d₂
.. 2*58/14.5 in = d₂ = 8 in
The length of diagonal BD is 8 in.
Answer:
BD = 8 in.
Step-by-step explanation:
pleaseeeee pleaseeee helppppppppp
Given:
The two vectors are:
[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]
[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]
To find:
The value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex].
Solution:
We have,
[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]
[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]
The cross product of these two vectors is:
[tex]\overrightarrow{a}\times \overrightarrow{b}=\begin{vmatrix}\hat{i}&\hat{j}&\hat{k}\\2&-1&1\\1&-3&5\end{vmatrix}[/tex]
[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[(-1)(5)-(1)(-3)]-\hat{j}[(2)(5)-(1)(1)]+\hat{k}[(2)(-3)-(-1)(1)][/tex]
[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[-5+3]-\hat{j}[10-1]+\hat{k}[-6+1][/tex]
[tex]\overrightarrow{a}\times \overrightarrow{b}=-2\hat{i}-9\hat{j}-5\hat{k}[/tex]
Now the magnitude of the cross product is:
[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{(-2)^2+(-9)^2+(-5)^2}[/tex]
[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{4+81+25}[/tex]
[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{110}[/tex]
Therefore, the value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex] is [tex]\sqrt{110}[/tex].
solve for x ?
3(x - 2) = 18
Answer:
X=8
Step-by-step explanation:
3x-6=18
3x=18+6
3x=24
X=24÷3
X=8
Answer:
x=2
Step-by-step explanation:
,...................
need help asapppppppppp
Answer:
201.53[tex]m^{2}[/tex]
Step-by-step explanation:
That is a hexagonal pyramid, which means it consists of one hexagon and six triangles.
Let's first find the hexagonal base.
The formula to find the area of a hexagon is [tex]\frac{3\sqrt{3}}{2}a^{2}[/tex], where a is the length of one side of the hexagon. In this question, a = 6m
Solve that to find that the area of the hexagon is 93.53m^2.
Now, on to the triangles. The area of one triangle is the base times the height, then halved. We know that the base of the triangle is 6m as it shares the base with a side of the hexagon, and the question states that the height is also 6m.
6 * 6 = 36
36 / 2 = 18
Hence, the area of one triangle is 18m^2
However, there are six triangles - not just one!
6 * 18 = 108
Adding everything up:
93.53 + 108 = 201.53
The answer is 201.53m^2
Help? please do not answer randomly
Answer:
x = 4.5
Step-by-step explanation:
Given a segment joining the midpoints of 2 sides of a triangle, then
the segment is half the length of the 3rd side, that is
5x = 0.5 × 45 = 22.5 ( divide both sides by 5 )
x = 4.5
A park bench is located 16 3/4 feet due north of an elm tree a fountain is located 9 1/2 feet due south of the same elm tree
What is the distance in feet between the park bench and the fountain?
A 26 1/4 ft
B 25 1/4 ft
C 25 2/3 ft
D 26 ft
Please help me! thank you alot..!
Answer: A
Step-by-step explanation: Take 16 and 9 add them u get 25 then u take the fractions turn the 1/2 into 2/4 and add them you then get 1 1/4
Zapisz w postaci jednej potęgi (zapisz obliczenia):
32 * 83 : 42 =
0,0014 *0,012 : 0,13 =
(53 * 252)4 =
27 * 253 *83 * 510 =
211 * 67 : 37 =
Zapisz w postaci notacji wykładniczej i odwrotnie:
403000000 =
2,4 * 109 =
0,00000509 =
5,015 * 10-5 =
Answer:
1. 62,3
2. 0,000129230769
3. 53424
4. 257027760
5. 382,081081
6. ?
7. 261,6
8. ?
9. 45,15
Identify each polygon. Describe each polygon by as many names
as possible.
1.
2.
3.
4.
5.
6.
Answer:
A polygon with one side could be a henagon or monogon
2 sides = digon or bigon
3. sides trigon or traingle ( equaliteral traingle , isosceles traingle Right traingle, acute traingle , obtuse traingle.
4 sides all the quadrilateral include square rectangle parallelogram, trapezium, rhombus , kite
5 sides = pentagon
6= hexagon
7 heptagon
8 octagon
9 nonagon
10 decagon