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.
a) Work out the value of angle x.
X
X=
b) Give reasons for your answer.
Answer:
x = 60° (Alternate angles)
Step-by-step explanation:
a) x = 60°
b) Reason: Alternate angles
Answer:x=60
Step-by-step explanation: all angles in a triangle add up to 180 degrees, x is the same as the angle next to it, therefore x=60 degrees
1st question: Are the angles adjacent or vertical?
2nd question: Find the value for x.m
Answer: It’s adjacent I’ll draw what vertical is. And M is 180-106 which is 74. Adjacent means next to...
Step-by-step explanation:
$800 deposit over 10 years
with an interest rate of 2%.
Answer:
960
Step-by-step explanation:
ITS TIMED... please help. f(x) = -3x - 4
h(x) = 11 + 7x
Using the functions defined above, find the following:
f(x) + h(x)
Answer:
4x+7 I believe but it could be wrong
Find the circumference of a circle with radius, r = 16.5m.
Give your answer in terms of pi.
Answer:
33π is the answer in terms of pi.
Step-by-step explanation:
Circumference of circle formula is C=πd.
Plug in the given values. We put 33 into d, because d represents diameter, and diameter is twice the radius(16.5), so we multiply 16.5 by 2. So far we have C=(π)(33).
C=(π)(33)=33π
Mhanifa please help me with this
Answer:
NoStep-by-step explanation:
If we assume there is such a proportion, then we have the proportion:
m(x) = kx, where m is amount the person eats, k is coefficient of proportion, x is age of the personFor 5 year old we have:
m(5) = 5kFor 20 year old:
m(20) = 20kFor 60 year old:
m(60) = 60kIn reality this proportion doesn't make sense as 60 year old normally eats less than 20 year old.
help!! pls i mark brainly answer
Answer:
On the left... True
On the right... False
Step-by-step explanation:
Jack is standing on the top of the high diving board at the local pool which is 50 feet high. His friend Diane is
in the water. The direct (diagonal) distance from Jack to Diane is 75 feet. What is the angle of elevation from
Diane in the water to Jack on the diving board? Draw a picture that represents this situation and show all your
work to solve. Round your answer to the nearst WHOLE degree.
Answer:
50 + 75 = 125
Step-by-step explanation:
when you are given a zero of a function and told that it has a multiplicity of 3, what does that mean?
Answer:
the zero of a function is what value you can plug in and get 0 as the answer.
having a multiplicity of 3 means that the zero is there 3 times so if your zero is 2 with multiplicity 3 then (x-2)^3 is what it looks like
Step-by-step explanation:
The following is based on information from The Wolf in the Southwest: The making of an Endangered Species by David E. Brown ( University of Arizona Press). Before 1918the proportion of female wolves in the general population of all southwestern wolves wasabout 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 34 wolves, there were only 10 females. One theoryis that male wolves tend to return sooner than females to their old territories where their predecessors were exterminated. Do these data indicate that the populationproportion of female wolvesis now less than 50% in the region?
This question is incomplete, the complete question is;
The following is based on information from The Wolf in the Southwest: The making of an Endangered Species by David E. Brown ( University of Arizona Press). Before 1918the proportion of female wolves in the general population of all southwestern wolves was about 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 34 wolves, there were only 10 females. One theory is that male wolves tend to return sooner than females to their old territories where their predecessors were exterminated. Do these data indicate that the population proportion of female wolves is now less than 50% in the region? Use ∝ = 0.01
Answer:
Since p-value (0.0082) < ∝ ( 0.01 ), we reject null hypothesis.
Therefore, at 0.01 significance level, we have sufficient evidence that the population proportion of female wolves is now less than ( 0.5 ) 50% in the region.
Step-by-step explanation:
Given the data in the question;
Hypothesis;
H₀ : p ≥ 0.5 { 50% }
H₁ : p < 0.5
This is a lower tailed test { H₁ : p < 0.5 }
sample size n = 34
number of female wolves x = 10
sample proportion p" = x / n = 10 / 34 = 0.2941176
claimed proportion P = 0.5
significance level ∝ = 0.01
we determine the standard deviation of p"
σ[tex]_{p"[/tex] = √[ (p(1 - p)) / n ] = √[ (0.5(1 - 0.5)) / 34 ]
= √[ (0.5 ×0.5) / 34 ]
σ[tex]_{p"[/tex] = 0.08575
Test statistics
[tex]z_{observed[/tex] = (p" - 0.5) / σ[tex]_{p"[/tex]
[tex]z_{observed[/tex] = (0.2941176 - 0.5) / 0.08575
[tex]z_{observed[/tex] = -2.40
so
Test statistic : -2.40
Since its a lower tailed test;
P-value = P( Z < [tex]z_{observed[/tex] ) = P( Z < -2.40 ) = 0.0082
Rejection criteria: Reject H₀ if p-value < ∝
Decision:
Since p-value (0.0082) < ∝ ( 0.01 ), we reject null hypothesis.
Therefore, at 0.01 significance level, we have sufficient evidence that the population proportion of of female wolves is now less than ( 0.5 ) 50% in the region.
Please help I have been stuck for a while now
Answer:
B. Between x 2 and x 3
Step-by-step explanation:
does a cylinder have lateral surfaces
Answer:
Yes it had two circular bases and a curved lateral surface.
Step-by-step explanation:
Answer:
yes it doesn't
Step-by-step explanation:
hope dis helps
PLEASE HELP ILL GIVE BRAINLIEST SHOW WORK PLEASE
Answer:
C 28 cm
Step-by-step explanation:
16 ÷ 8 = 2
14 × 2 = 28 cm
Can you answer this please. NO LINKS
Answer:
The answer selected is correct
Step-by-step explanation:
find the measure of the missing angle, i’ll mark brainliest
there is a right angle and a acute angle. the mesurement of the missing angle is 62° and the right angle is 90°
Answer:
the answer is 62
Step-by-step explanation:
let me guess your teachers have lanschool air?
Question 5 :)) What is the measure of the missing angle?
Those are the options
Answer:
Please have a look.........
What is the value of x? Show me how you got that answer
Answer:
30
Step-by-step explanation:
a right triangle is 90° so
76+(x-6)=90°
-76 -76
(x-6)=24
+6 +6
x=30
Given {(1, 2), (3, 5), (-2, 2), (3,6)}, choose the pair of coordinates that clarify why this
relation is not a function.
Given:
The relation is:
[tex]\{(1, 2), (3, 5), (-2, 2), (3,6)\}[/tex]
To find:
The pair of coordinates that clarify why this relation is not a function.
Solution:
A relation is called a function if there exist unique y-value for each x-value. In other words, if a relation has two outputs for a single input, then the relation is not a function.
The given relation is:
[tex]\{(1, 2), (3, 5), (-2, 2), (3,6)\}[/tex]
This relation has two y-values 5 and 6 for a single x-value 3. Since the y-value is not unique all all values of x, therefore the relation is not a function.
Hence, the pairs of coordinates (3,5) and (3,6) clarify that the given relation is not a function.
what is 19 divided by 2
Answer:
9.5 or 9 1/2
Step-by-step explanation:
if their is a remainder ur answer is
9^r1
The first term of a sequence is 4 and the common
ratio is -2. What is the formula for the sequence
based on term number
Qy --2-(4)-1
ay -4.(-2)2-1
an = (4.-2)^2=1
an - 4.(-2)
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Geometric Progression.
So, we know that,
GP = a.r^(n-1)
here, a = 4 and r = -2
so we get as,
an = 4.(-2)^n-1
Option B.) is correct
Use a1=6 and d=8 to write the first 5 terms of the sequence and the 20th term.
Answer:
right
Step-by-step explanation:
s
a
k
+
1
=
a
k
+
2
and
a
1
=
6
a
2
=
a
1
+
2
=
6
+
2
=
8
a
3
=
a
2
+
2
=
8
+
2
=
10
a
4
=
a
3
+
2
=
10
+
2
=
12
and
a
5
=
a
4
+
2
=
12
+
2
=
14
and hence first five terms are
{
6
,
8
,
10
,
12
,
14
}
As
a
k
+
1
=
a
k
+
2
, each term is
2
more than previous term
it is an arithmetic sequence with first term as
a
1
and common difference
d
and hence
n
t
h
term is
a
n
=
a
1
+
(
n
−
1
)
d
and hence
n
t
h
term of the sequence is
a
n
=
6
+
(
n
−
1
)
×
2
=
6
+
2
n
−
2
=
2
n
+
4
pls answer 2,3,5,6 and thank you for helping and pls work it out
Answer:
2: add 4
3: 6
5: multiply by 2
6: 7
Step-by-step explanation:
Please answer ASAP DUE AT 8 BRAINLIEST
Answer:
the perimeter is 11cm and the area is 7cm^2
Step-by-step explanation:
NP =PS, meaning they have the same length. so the perimeter is 3.5 + 4 + another 3.5.
For the area imagine you cut the triangle in half. from P to the middle of NS. Put the 2 triangle halves together to form a rectangle. (PS is now touching NP). This would be a 2x 3.5 rectangle. 2x 3.5 is 7, meaning both this imagined rectangle and the triangle have an area of 7cm^2.
Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below: Color of Marble Number of Times Rolled Blue 20 Green 18 Yellow 12 Heads Tails 28 22 Using Misha's simulation, what is the probability of pulling a blue marble and the coin landing tails up? (5 points) a 410 over 2500 b 440 over 2500 c 32 over 50 d 42 over 50
Answer:
Its D hope this help byee
Answer:
It is D I got this correct on the test.
Step-by-step explanation:
Name the marked angle in 2 different ways.
M
L
J
K
Answer:
Angle J and angle MJK or maybe right angle....
These are the three ways...
Hope it helps
Step-by-step explanation:
I WILL GIVE BRAINIEST!! TO THE CORRECT ANSWER TO FILL IN THIS BOX I ONLY GET THE OPTION WITH A COUPLE OF ANSWERS!
Answer:
Step-by-step explanation:
The third one is
(10^3)^4 and equals 10^12
the 4th one is (10*10*10*10)(10*10*10*10) or 10^8
the last one is (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10)
or 10^88
NEED ANSWERS NOW!! (Reward) brainlest and pointsss
Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
f(x) = - 0.6x² + 4.2x + 240 ← factor out - 0.6 from the first 2 terms
= - 0.6(x² - 7x) + 240
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² - 7x
f(x) = - 0.6(x² + 2(- 3.5)x + 12.25 - 12.25 ) + 240
= - 0.6 (x - 3.5)² + 7.35 + 240
= - 0.6(x - 3.5)² + 247.35
with vertex = (3.5, 247.35 )
The maximum value is the y- coordinate of the vertex
Then
f(x) = - 0.6(x - 3.5)² + 247.35 has a maximum value of 247.35
Write 8.32×10 to the power of -4 in standard form
Answer:
Step-by-step explanation:
so you need to do 8.32 x 10=83.2
pls help me pls (this needs to be 20 characters so ignore this part)
Step-by-step explanation:
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