The volume of the square pyramid having base edge and height as [tex]13[/tex] [tex]cm[/tex] and [tex]9[/tex] [tex]cm[/tex] respectively is [tex]507[/tex] [tex]cm^{3}[/tex].
Volume of a square pyramidVolume [tex]=\frac{1}{3}[/tex] × (base area) × (height)
How to find the volume of a square pyramid?First, find the area of the square base
Given, the edge of the square base [tex]=13 cm[/tex]
Then, the area of the square base [tex]=13^{2}=169cm^{2}[/tex]
Given, the height of the square pyramid [tex]=9cm[/tex]
Now, apply the volume formulae
Volume [tex]=\frac{1}{3}[/tex] × [tex]169[/tex] × [tex]9=507cm^{3}[/tex]
Hence, the volume of the square pyramid is [tex]507cm^{3}[/tex].
Learn more about the square pyramid here-
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Find the area of the shaded triangle
Area of a triangle is 1/2 x base x height.
The base of the shaded triangle is 2 ft. the height is 4 ft.
Area = 1/2 x 2 x 4 = 4 square feet.
Answer:
4 ft²
Step-by-step explanation:
A = 1/2bh Use this equation to find the area of the triangle
A = 1/2(4)(4) Multiply
A = 1/2(16) Multiply
A = 8 Area of entire triangle
A = 1/2(2)(4) Multiply
A = 1/2(8) Multiply
A = 4 Area of triangle not shaded
Take the area of the whole triangle minus the area of the unshaded part
8 - 4 = 4 ft²
√175 Simplify.Remove all perfect squares from inside the square root.
Answer:
13.22875655532295...
Step-by-step explanation:
not a perfect square so... yea
brainliest pls
Answer:
[tex]5\sqrt{7}[/tex]
Step-by-step explanation:
[tex]\sqrt{175}=\sqrt{7\cdot 25}=\sqrt{7}\cdot \sqrt{25}=\sqrt{7} \cdot 5=5\sqrt{7}[/tex]. Hope this helps!
A city is divided by a river. The portion of the city east of the river covers 25% of the city and has a population density of 28 people/km2. The portion on the west side of the river has a population density of 17 people/km2. Find the population density of the city as a whole.
Answer:
The answer is 19,75 people / km2
Step-by-step explanation:
Let's say that the total area of the city is 4 kilometer squares. In that case, the east of the river, which is 25% of the city, is 1 kilometer square. This means that the population is 28 on the east side of the city
The west side of the city is 3 kilometer squares, which means the population is 17 x 3 = 51.
The total population of the city is 51 + 28 = 79 and the total area is 4 kilometer squares. So the population density of the city as a whole is
79 / 4 = 19,75 people per kilometer square.
I hope this answer helps.
The mean weight of females in a class is 60kg and that of the males is 72kg. If the mean
weight of the class is 68kg, what is the ratio of females to males in the class?
Answer:
1:2
Step-by-step explanation:
Let's say there are x males and y females in the class.
The sum of all male weights will be 72x, and the sum of all female weights will be 60y.
If we get a class mean weight, we have:
(72x + 60y) / (x+y) = 68
72x + 60y = 68x + 68y
4x = 8y
y / x = 4/8 = 1/2
So the ratio of females to males is the class is 1:2
Please help!! Due at 12 AM please!! Will help you !!! I do have another question that i posted
that has NOT been answered so if u can help with that also.
Answer:
Rocket A: The x-intercept= (0,0) and (7,0)
Maximum= (3.5, 220.5) *idk if your teacher wants x's or y's
Average Rate of Change over [0,2]= 90
Rocket B: The x-intercepts are=(0,0) and (4,0)
Maximum=(2,32)
Average Rate of Change over [0,2]= 16
Rocket A is faster
Step-by-step explanation:
Rocket A: graph on demos
when x is 2 y is 180 180/2=90
Rocket B: i graphed the points on demos and imagined maximun of the graph
(it also tell you the x-intercepts)
32/2=16
Hope this helps
can someone help me?
Answer:
Step-by-step explanation:
X = 152 -90 = 62 degree
Triangle A is a scaled version of triangle B. The dimensions of triangle B are three times the dimensions of triangle A. The area of triangle A is 24.5 sq cm. What is the area of triangle B?
Answer:
The area of triangle B is [tex]2.72cm ^{2}[/tex]
Step-by-step explanation:
We will use the principle of similar triangles to solve the problem.
Since triangle A is just a scale version of triangle B, we can say that the two triangles are similar.
The area scale factor is the square of the length scale factor.
Given the length scale factor as 3,
The area scale factor will be 3 X 3 = 9 sq. cm
(Area of triangle A / Area of triangle B) = (length of side A / Length of side B) square
[tex]\frac{24.5}{ area of B}= 3^{2}[/tex]
[tex]\frac{24.5}{Area of B}= 9\\Area of B = \frac{24.5}{9}= 2.72 cm ^{2}[/tex]
The area of triangle B is [tex]2.72cm ^{2}[/tex]
Geometry Question!!!!
Answer:
D
Step-by-step explanation:
If AB is a tangent, then angle A must be a right angle.
If angle A is a right angle, then triangle ABC is a right triangle and will work in the Pythagorean theorem formula.
a^2 + b^2 = c^2
8^2 + 16^2 = 20^2
64 + 256 = 400
320 = 400
Since 320 = 400 is false, angle A is not a right angle, and AB is not a tangent to circle C.
Answer: D
What is the volume of the prism?
Answer:
Rectangular prism:
length times width x height
Triangular prism:
(a+b+c) h
FIND (-8/3)+(-1/4)+(-11/6)+3/8-3
PLEASE HELP ME......YOU WILL 15 POINTS FOR ANSWERING THIS QUESTION.....
Answer:
-7 3/8
Step-by-step explanation:
The least common denominator of 3, 4, 6, and 8 is 24; converting all of our fractions to that denominator and solving, we have
[tex]-\frac{8}{3}+\left(-\frac{1}{4}\right)+\left(-\frac{11}{6}\right)+\frac{3}{8}-3\\=-\frac{64}{24}+\left(-\frac{6}{24}\right)+\left(-\frac{44}{24}\right)+\frac{9}{24}-3\\\\=\frac{-64+(-6)+(-44)+9}{24} -3\\\\=\frac{-70+(-44)+9}{24} -3\\\\=\frac{-114+9}{24} -3\\\\=\frac{-105}{24}-3 \\\\=\frac{-35}{8}-3\\ \\=-4\frac{3}{8}-3\\\\=-7\frac{3}{8}[/tex]
So our solution is -7 3/8
Terry has 3 pairs of pants: black, khaki, and brown, and 4 shirts: yellow, red, blue, and white. He does not care which colors he wears together. If Terry chooses one pair of pants and one shirt at random, what is the probability that his outfit will be the black pants with the yellow shirt?
Answer:
1/12 my guy
Step-by-step explanation:
There really isn't one
Answer:
Would be 0.08333 or 1/12
Step-by-step explanation:
Which property of equality could be used to solve -3x = 348? A. addition property B. subtraction property C. division property D. multiplication property
Answer:
B:subtraction property
Step-by-step explanation:
2(-n -3) - 7(5+2n)
Simplify to create an equivalent expression
[tex]\text{Simplify:}\\\\2(-n -3) - 7(5+2n)\\\\\text{Use the distributive property}\\\\-2n-6-35-14n\\\\\text{Combine like terms}\\\\-2n-6-35-14n\\\\-16n-6-35\\\\\boxed{-16n-41}[/tex]
Find the area of the triangle
Answer: Area of a triangle = (b*h)/2
Step-by-step explanation:
8*14= 112
112/2=56
The area of the triangle is 56 square units.
Answer:
56
Step-by-step explanation:area of aa triangle is 1/2bh
=1/2*8*14+56 square units
hope this hepls
plz mark me brainliest
Bur oak and hickory trees are deciduous,which means that they lose their leaves seasonally. A bur oak is 25 1/2 feet tall and grows 1 1/2 feet each year. A hickory is 30 feet tall and grows 1 1/2 feet each year. Complete the chart to show the heights of the two trees each year for five years.
First we must calculate, for each tree the increment for each year:
bur oak:
Initial: 25.5 ft
1 year = 25.5 + 1.5 = 27
2 year = 27 + 1.5 = 28.5
3 year = 28.5 + 1.5 = 30
4 year = 30 + 1.5 = 31.5
5 year = 31.5 + 1.5 = 33
hickory:
Initial: 30 ft
1 year = 30 + 1.5 = 31.5
2 year = 31.5 + 1.5 = 33
3 year = 33 + 1.5 = 34.5
4 year = 34.5 + 1.5 = 36
5 year = 36 + 1.5 = 37.5
Year | bur oak (ft) | hickory (ft)
0 25.5 30
1 27 31.5
2 28.5 33
3 30 34.5
4 31.5 36
5 33 37.5
Grace made a dot plot showing the distances she ran each day for two weeks. She says that she usually runs 7 miles each day because that is the distance that occurs most often. Do you agree with Grace's reasoning?
Answer: No
Step-by-step explanation:
Because Mode is not the best centre of tendency use for statistical data. And mode cannot be used for average.
Mean should be used for average values
Answer:
da ba dee da ba doo im blue
Step-by-step explanation:
Grace made a dot plot showing the distances she ran each day for two weeks.
She says that she usually runs 7 miles each day because that is the distance that occurs most often.
Do you agree with Grace’s reasoning?
Use the drop-down menus to explain and show your answer.
Dot plot named as ALTDCDistances RunALTDC has number line from 1 to 7. 1 dot on 1, 3 dots on 2, 3 dots on 3, 3 dots on 4 and 4 dots on 7 are given.
The mode, which is (3,4, or 7) ,(is or is not) a typical distance for the data. The median, which is (3.5,4, or 7),(is or is not) a typical distance for the data. The mean, which is (3,4, or 7) ,(is or is not) a typical distance for the data. So, Grace’s reasoning(is or is not ) correct.
simplify the expression 4x + 3 - x - 7
Answer:
3x - 4
Step-by-step explanation:
The first, and last, step is to add like terms (4x and -x, 3 and -7), like so:
4x + 3 - x - 7
4x - x = 3x
3 - 7 = - 4
3x - 4
Solve the equation.
-9x + 1 = -x + 17
X=-8
O X=-2
X = 2
X = 8
Answer:
-9x + x = 17 – 1
8x = 16
X = 16/8
X=2
PLEASE ANSWER I WILL MARK BRAINLIEST!!!!!!!!!!!!!!
Answer:
1.5 timesbottle Ythird bottleStep-by-step explanation:
Insufficient dimensions are given to compute an exact volume of each geometry, so we have to assume that the volume is proportional to the product of base area and height. Then the relative volumes will be ...
bottle X: (6 in)(2 in)(1 in) = 12 in^3
bottle Y: (4 in)(3 in)(1.5 in) = 18 in^3
3rd bottle: (3 in)(6 in^2) = 18 in^3
That is, the relative volumes are ...
X : Y : 3rd = 12 : 18 : 18 = 1 : 1.5 : 1.5
The corresponding relative prices are ...
X : Y : 3rd = 9.96 : 14.40 : 13:20 = 1 : 1.446 : 1.325
__
A. Bottle Y has 1.5 times as much lotion as Bottle X.
__
B. Bottle Y is a better buy than Bottle X. (The price relative to X is less than the volume relative to X.)
__
C. The 3rd bottle is the best buy. For the same volume, the price of the 3rd bottle is less than that of Bottle Y.
_____
Note that the relative volume and price ratios are found by dividing all the numbers in the ratio sequence by the first number:
12 : 18 : 18 = (12/12) : (18/12) : (18/12)
9.96 : 14.40 : 13.20 = (9.96/9.96) : (14.40/9.96) : (13.20/9.96)
What is the value of x in the equation: 0.7x - 1.4 = -3.5?
A. -7
B. -3
C. 3
D. 7
Answer:
B). -3
add the -1.4 to-3.5 then divide the solution
Answer:
It's B. -3 (please mark as brainliest)
Step-by-step explanation:
0.7x−1.4=−3.5
Step 1: Add 1.4 to both sides.
0.7x−1.4+1.4=−3.5+1.4
0.7x=−2.1
Step 2: Divide both sides by 0.7.
0.7x
0.7
=
−2.1
0.7
So it's x=−3
Solve 8.2ws 29.52. Which of the following must be true abo
OWS36
The arrow points left
The arrow points right
There is an open circle at 3.6.
There is a closed circle at 3.6.
Answer:
A B E
Step-by-step explanation:
A- w less-than-or-equal-to 3.6
B- The arrow points left.
E- There is a closed circle at 3.6.
Answer:
A B E
Step-by-step explanation:
Choose the formula for the volume of a rectangular prism V = lwh written in terms of h.
A. h = Vlw
B. h = lVw
C. h = lwV
D. h = Vwl
Part B
Find the height h of a rectangular prism with volume V = 96 cm3, l = 8 cm and w = 2 cm.
height =
cm
Answer:
h = V/lw and the height = 6cm
Step-by-step explanation:
h = V/lw
V= [tex]96cm^{3}[/tex]
l = 8 cm
w = 2cm
V/lw = 6
Thus, the height = 6cm
Plz help with this problem
Answer:
A = 222 in²
Step-by-step explanation:
A = 2(wl+hl+hw) Use this equation to find the surface area of the rectangular prism
A = 2(5*12 + 3*12 + 3*5) Multiply
A = 2(60 + 36 + 15) Add in the parentheses
A = 2(111) Multiply
A = 222 in²
If this answer is correct, please make me Brainliest!
Find five rational numbers between 3/7 and 2/3
PLEASE HELP...... I NEED TO SUBMIT THIS NOW....
Answer:
First, you get both of them with same denominator:
3/7 and 2/3 => 9/21 and 14/21, however, there are only 4 rational numbers between 9/21 and 14/21.
The solution is that you can raise the denominator 2 times:
9/21 and 14/21 => 18/42 and 28/42
Now you can select : 19/42, 20/42, 21/42, 22/42, 23/42. They are a group of 5 rational numbers you are looking for.
)) A triangle has sides with lengths of 5 inches, 12 inches, and 13 inches. Is it a right
triangle?
yes
no
Answer:Yes
Step-by-step explanation:
Given
Triangle has sides
length [tex]a=5\ in.[/tex]
[tex]b=12\ in.[/tex]
[tex]c=13\ in.[/tex]
If the triangle is Right angled then it must satisfy the Pythagoras rule
[tex](\text{Perpendicular})^2+(\text{base})^2=(\text{Hypotenuse})^2[/tex]
[tex](a)^2+(b)^2=(c)^2[/tex]
[tex]5^2+12^2=13^2[/tex]
[tex]25+144=13^2[/tex]
[tex]169=13^2[/tex]
[tex]13^2=13^2[/tex]
Therefore The given triangle is right angled
Alice has 1/6 of a bowl of cereal Allison her brother wants to split the cereal equally which expression represents the fraction of the box of cereal that Alice gets
Answer:
it would be 1/6 divided by 2, or the seond option.
Step-by-step explanation:
To split something equally, you'd divide it in half. In other words, you'd be dividing it by 2.
Therefore, it would be 1/6 divided by 2, or the seond option.
I hope this helped and have a good rest of your day!
whats x-3y=6 in slope intercept form ?
Answer:
y = 1/3X - 6
Step-by-step explanation:
can you please help me with this thanks
Answer: 6
Step-by-step explanation:
in a 30 60 90 triangle the hypothenuse is [tex]2a[/tex], long side is [tex]a\sqrt{3}[/tex], and the short side is [tex]a[/tex]
Explain why you cannot use algebra tiles to model the multiplication of a linear polynomial by a quadratic polynomial.
As an added challenge develop a model similar to algebra tiles that will allow you to show this multiplication. Describe an example of your model for the product (x + 1)(x^2 + 2x +2)
Answer:
The product of (x + 1)(x² + 2x + 2) is
x³ + 3x² + 2x + 4
Step-by-step explanation:
The product of (x + 1)(x² + 2x + 2) is Given in the steps below.
(x + 1)(x² + 2x + 2) = x(x² + 2x + 2) + x² + 2x + 2
= x³ + 2x² + 2 + x² + 2x + 2
= x³ + 3x² + 2x + 4
Find the measurement indicated. Round your answers to the nearest tenth. Use Law of Sines or Cosines
Answer:
5. 34°
6. 29.7
Step-by-step explanation:
5. Using sine law
25/sin(93) = 14/sin(C)
sin(C) = 0.5592325395
C = 34.00273934°
6. Using cosine law
AC² = 23.2² + 18.1² - 2(23.2)(18.1)cos(91)
AC² = 880.507229
AC = 29.67334206
Answer:
5. m∠C ≈ 34°
6. AC ≈ 29.7 metres
Step-by-step explanation:
5. We need to use the Law of Sines here, which says that for a triangle with sides a, b, and c and angles A, B, and C:
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
Here, a = 25, ∠A = 93°, and c = 14, so we want to find ∠C:
[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
[tex]\frac{25}{sin93} =\frac{14}{sinC}[/tex]
sinC ≈ 0.56
∠C ≈ 34°
6. We need to use the Law of Cosines here, which says that for a triangle with sides a, b, and c and angles A, B, and C:
[tex]c^2=a^2+b^2-2abcosC[/tex]
[tex]b^2=a^2+c^2-2accosB[/tex]
[tex]a^2=b^2+c^2-2bccosA[/tex]
Here, a = 23.2, c = 18.1, ∠B = 91°, and b = x. We want to find b, so:
[tex]b^2=a^2+c^2-2accosB[/tex]
[tex]x^2=23.2^2+18.1^2-2*23.2*18.1*cos(91)[/tex] ≈ 880.5
x ≈ 29.7 metres