Answer:
168 ft²
Step-by-step explanation:
The equation for the lateral area of a square pyramid is LA = (Pl/2)
Plug in the values LA = (24(14)) / 2
LA = 336/2
LA = 168 ft²
The lateral surface area of the given pyramid whose base is an equilateral triangle is 126 square feet.
What is the lateral area of a triangular pyramid?The lateral surface area of a triangular pyramid is 1⁄2(perimeter of the base × slant height) which further becomes 3⁄2(side × slant height).
Given that, slant height is 14 ft and the length of each side of the triangular base is 6 ft.
The equation for the lateral area of a square pyramid is 3/2 (6×14)
= 3×3×14
= 126 square feet
Therefore, the lateral surface area of the given pyramid whose base is an equilateral triangle is 126 square feet.
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1.Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint 1: (−9,8) Midpoint: (2,−1)
2.Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint 1: (0,2) Midpoint: (4,5)
Answer:
1. Coordinates of the other endpoint are (13, -10)
2. Coordinates of the other endpoint are: (8, 8)
Step-by-step explanation:
1. The endpoint (-9, 8) is located in the second quadrant. The midpoint (2, -1) is located in the fourth quadrant. That is to the right and down from the endpoint. Notice that the difference in the horizontal axis between the x-coordinates of the endpoint (-9, 8) and the midpoint (2, -1) is: | 2 - (-9) | = 11
And the difference in the vertical axis is: | -1 - 8 | = 9
So the midpoint is located 11 units to the right,and 9 units down from the endpoint. Then the other endpoint should be located also 11 units to the right, and 9 units down but from the midpoint. That is at: (2 + 11, -1 - 9) = (13, -10)
2. In this case, both, endpoint and midpoint are in the first quadrant, but notice that the midpoint is further away from the origin of coordinates.
The differences now are:
horizontal: 4 - 0 = 4
vertical: 5 - 2 = 3
and in both cases units are added to the endpoint coordinates to get to the midpoint coordinate values.
So to find the other endpoint we add 4 units to the x-value of the midpoint, and add 3 units to its y-value:
Other endpoint at : ( 4 + 4, 5 + 3) = (8, 8)
boxes A and B contain some counters
box A contains more counters than box B
box A: 4k counters
Box B: k+9 counters
what is the smallest possible value of K
Step-by-step explanation:
If we take 4 as k then
4k = 4(4) = 16 boxes
k + 9 = 4 + 9 = 13 boxes
Answer:
4
Step-by-step explanation:
Box A = 4k
Box B = k+9
Box A > Box B
=> 4k > k+9
Subtracting k to both sides
=> 4k-k > 9
=> 3k > 9
Dividing both sides by 3
=> k > 3
So, The smallest possible value of k is 4
PLZ HELP!!!!WILL MARK BRAINLIEST AND 20 POINTS!!!
Answer: Find a common denominator on the right side of the equation
Step-by-step explanation:
You can see that they found the common denominator of 4 therefore that is the correct answer
In a local ice sculpture contest, one group sculpted a block into a rectangular-based pyramid. The dimensions
of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this
sculpture
Answer:
Step-by-step explanation:
To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as
Volume = 1/3 × base area × height
Since the base is rectangular, base area = length × width = 3 × 5 = 15 m
Given that height = 3.6m, therefore, the amount of ice needed for this sculpture is
1/3 × 15 × 3.6 = 18 m³
Answer: To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as Volume = 1/3 × base area × heightSince the base is rectangular, base area = length × width = 3 × 5 = 15 mGiven that height = 3.6m, therefore, the amount of ice needed for this sculpture is 1/3 × 15 × 3.6 = 18 m³
Step-by-step explanation:
A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the expression 2 (18) + 3 (18) to model the total cost for the family, and Alex used the expression 5 (18). Which property of operations makes both of their expressions correct? associative property commutative property distributive property identity property
Answer: distributive property
Step-by-step explanation:
[tex]5(18)=2(18)+3(18)[/tex]
[tex]18(2+3) = 2* 18+ 3*18[/tex]
[tex]18*5 = 2* 18+ 3*18[/tex]
Answer: Distributive Property
Step-by-step explanation:
Explain how you setup your excel worksheet. Make sure to address any formula used by showing an example but avoid using cell references (B5, A3, G12, etc.) What final course percentage (to 1 decimal) did you calculate? What letter grade in the course did this student earn?
Answer:
Step-by-step explanation:
to set a spreadsheet on excel, you start with the category labels on the top row, then you go down in columns. Then you enter the scores that you want for each category . after you are done with entering the scores, you found the average percent of each category by dividing the total amount of scores by the number of score in one cell . For Example, the total score was 1530 and there was 20 , you got 76.5%. you continue this for each category. Then multiplied it by the category weights. Finishing it off, I added each categories’ answers up and got my final grade of 76.5%. The letter grade this student got was a C.(google spread sheet)
I NEED HELP ASAP PLEASE!!
Answer: b) The mixture has the intended number of pounds and costs more than the intended amount.
Step-by-step explanation: At the point D, there is an equal amount of milk and dark chocolate—they each have 25 pounds. This correlates with the equation of line b: x+y=50. 25+25=50
Since the variable y is the amount of Milk Choclate and the variable x is the amount of Dark Chocloate, the equation of line a: 4x + 2y = 130 can be used. So then you plug in the amount of milk chocolate as “x” and amount of dark chocolate “y“. 4(25) + 2(25) =150.
150 is not equal to 130, so even though it has the intended number of pounds, it costs $150 instead of $130, so it costs more than the intended amount
So be is the answer
Hope this helps:)
A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch which he cannot use. He divides his usable space into four congruent rectangular patches, each of which measures
Answer:
4m X 6m
Step-by-step explanation:
This is because if there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.
Because the 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.
Becuase 4m is the width, there is 10 - 4 = 6m along each rectangle's length.
The 4m is the width, there is 10 - 4 = 6m along each rectangle's length. the area he will use is 4m x 6m.
What is reflexive property of congruence?The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.
Given information; A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch we need to find which he cannot use.
He divides his usable space into four congruent rectangular patches.
If there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.
The 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.
The 4m is the width, there is 10 - 4 = 6m along each rectangle's length.
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Write 23 /2 as a mixed number. Give your answer in its simplest form.
Answer:
11 1/2
Step-by-step explanation:
Convert improper fraction to mixed number
23 over 2
= 11 and 1/2
23 ÷ 2 = 11 remainder 1
Answer:
11whole,1 and a half
Step-by-step explanation:
divide 23 by 2
HELP ASAP PLEASE What is the measure of yz (the minor arc) in the diagram below? A.168 B.42 C.192 D.84
Answer:
B
Step-by-step explanation:
The measure of the tangent- chord angle XYZ is half the measure of its intercepted arc, thus
arc YZ = 2 × 84° = 168° → B
Find the value of x.
Answer:
x=6.09cm
Step-by-step explanation:
Working out AB:
7.5²+4.9²
= √80.26
AB= 8.96cm
To work out x:
AB is the opposite, where BC is the adjacent. This means that we have to use TOA.
x=8.96/Tan(55.8)
x= 6.09cm
Answer:
6.1 cm
Step-by-step explanation:
Use the Pythagorean theorem for triangle ABD to find the hypotenuse.
7.5^2+4.9^2=c^2. After solving you get that the missing length is about 9 cm. The hypotenuse of ABD is also a leg for ABC so you can use a trigonometric function, tangent, to find x. Set up the equation for opposite and adjacent sides to angle measure 55.8. The equation is tan(55.8)=9/x. In order to isolate the variable you multiply both sides by x to get (x)tan(55.8)=9, then divide both sides by tan(55.8), this leaves you with x=9/tan(55.8). You can then plug this into the calculator to get x is approximately 6.1 cm.
How many 6-digit numbers can be created using 8,0,1,3,7, and 5 if each number is used only once?
There’s 6 numbers that can be used.
The first digit can be any of the 6
The 2nd digit can be any of the 5 left
The 3rd digit can be any of the 4 left
The 4th did fit can be any of the 3 left
The 5th digit can be any of the 3 left
The 6th digit would be the last number left.
Total combinations = 6 x 5 x 4 x 3 x 2 x 1 = 720
All of the following expressions simplify to 3, except _____.
-6 + 9
1 - (-2)
-9 ÷ (-3)
-5 - 2
Answer:
-5 - 2
Step-by-step explanation:
Solve each of the following
A is -6 + 9 which equals 3
B is 1 - (-2) which simplifies into 1 + 2 which equals 3
C is -9 / -3. the negatives cancel leaving 9/3 which is 3
D is -5 - 2 which simplifies into -5 + -2 which equals -7
Pleas answer in two minutes now
Answer:
I believe the answer is C.
In an orchard the ratio of apple trees to pear trees is 2 : 5, and the ratio of pear trees to peach trees is 3 : 4. Work out the ratio of apple trees to pear trees to peach trees.
Answer:
5/8
Step-by-step explanation:
apple trees to pear trees=5/2 to peach trees=(5/2)/4=5/8
Choose the slope and y-intercept that
correspond with the graph.
Answer:
slope = 2 and y- intercept = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (2, 2)
m = [tex]\frac{2+2}{2=0}[/tex] = [tex]\frac{4}{2}[/tex] = 2
The y- intercept is the value of the y- coordinate at the point where the line crosses the y- axis, that is
y- intercept = - 2
find the sum of the series 81-27+9......-1/27.
Answer:
[tex]S_8=\dfrac{1640}{27}=60\frac{20}{27}[/tex]
Step-by-step explanation:
The formula for the sum of a geometric series with first term a1, common ratio r, and n terms is ...
[tex]S_n=a_1\dfrac{1-r^n}{1-r}[/tex]
This series has 8 terms, a common ratio of -1/3, and a first term of 81. Its sum is ...
[tex]S_8=81\dfrac{1-(-\frac{1}{3})^8}{1-(-\frac{1}{3})}=81\dfrac{6560/6561}{4/3}=\dfrac{6560(3^4)(3)}{(4)(3^8)}\\\\\boxed{S_8=\dfrac{1640}{27}=60\frac{20}{27}}[/tex]
Simplify √5x/x √ 20 answer choices
a.1/2
b.√x/2x
c.√x/2
Answer:
a
Step-by-step explanation:
Find the difference.
(3x4 - 5x2 - 4)-( 2x3 x2 + 1)
w
3x4 - 2x3 - 4x2-5
a
Answer:
(3x4 - 5x2 - 4)-( 2x3 x2 + 1) is equals to -15
3x4 - 2x3 - 4x2-5 is equals to -7
Step-by-step explanation:
1.) (3x4 - 5x2 - 4)-( 2x3 x2 + 1)
3 x 4 = 12 5 x 2 = 10 12 - 10 = 2 2 - 4 = -2
2 x 3 = 6 6 x 2 = 12 12 + 1 = 13
-2 - 13 = -15
2.)3x4 - 2x3 - 4x2-5 is eaquals to -7
3 x 4 = 12 2 x 3 = 6 12 - 6 = 6 4 x 2 = 8
6 - 8 = -2 -2 - -5 = -7
Those were my answers
which term of the AP:3,15,27, 39,.....will be 132 more than its 54th term
Answer:
n=65th term
Step-by-step explanation:
AP:3,15,27,39......
From the AP
a=3
a+d=15
a+2d=27
3+d=15 (1)
3+2d=27 (2)
Subtract (1) from (2)
We have,
2d-d=27-15
d=12
54th term=a+(n-1)d
=3+(54-1)12
=3+(53)12
=3+636
=639
The term is 132 more than the 54th term
132+54th term
=132+639
=771
Find the term
771=a+(n-1)d
771=3+(n-1)12
771-3=12n-12
768=12n-12
768+12=12n
780=12n
n=780/12
=65
n=12
The term which is 132 more than the 54th term is the 65th term
PLEASE HELP ASAP THANKSSSS
Answer:
The correct answer is C
Step-by-step explanation:
As you can see Town A is on top of Town B this means that Town B has symetric points to town A. This also shows how Town A is Positively skewed.
Which of the following is equivalent to 9^3/4 i know the answer just need much more explaining
Answer:
3√3
Step-by-step explanation:
One way to figure this out is to form equivalent expressions. For example, in this case, 9^3/4 = (3^2)^3/4 = 3^3/2 = 3 * 3^1/2 = 3 * √3.
Solve the inequality
Answer:
x < 4
Step-by-step explanation:
3x - 3 < 9
3x < 12
x < 4
Answer: x < 4
Step-by-step explanation:
3x < 9 + 3
you’re going to add the two (9+3= 12) numbers.
3x < 12
Then divide both sides of the inequality by 3.
3x < 12 = x < 4.
I'll always give away 5 stars, thanks and Brainliest to the answer that's correct!
Naruto has a baseball card that is worth $45. The value of the card is increasing at the rate of 1.5% per year. How much will the card be worth in 15 years?
A: $366.17
B: $56.26
C: $89.21
D: $263.97
Answer:
a I believe sorry if I'm wrong
Answer:
I think its B: $56.26
A grasshopper makes jumps that are either 17 or 19 cm in length, in either direction (forwards or backwards). Is it possible for the grasshopper to cover a distance of 101 cm in 100 jumps?
Answer: No. The grasshopper cannot cover exactly 101 cm in exactly 100 jumps.
Step-by-step explanation:
If the grasshopper makes 50 forward jumps of 19 cm and 50 backward jumps of 17 cm (in any order) the jumps total 950-850 for a net result of 100.
Changing to any other amount just gets farther away from the goal.
A system of equations yields no solution of integers.
x + y ==100
19x - 17y =101
You can try it, but the result has a decimal. This grasshopper cannot make partial jumps!
(38x+61y)-(3x-11y) simplify this expression
━━━━━━━☆☆━━━━━━━
▹ Answer
35x + 72y
▹ Step-by-Step Explanation
(38x + 61y) - (3x - 11y)
38x + 61y - (3x - 11y)
38x + 61 y - 3x + 11y
35x + 61y + 11y
35x + 72y
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Can you solve (x-5)^2=3
Answer:
x = 6.73 (corrected to 3 significant figures.)
Step-by-step explanation:
(x-5)^2=3
Square root both sides of the equation.
[tex]\sqrt{(x-5)^2} =\sqrt{3}[/tex]
[tex](x-5) = \sqrt{3}[/tex]
Add 5 to both sides.
[tex]x = \sqrt{3} + 5[/tex]
x = 6.73 (corrected to 3 significant figures.)
Answer:
x=-22 or -13
Step-by-step explanation:
(x-5)^2=3
Or,x^2-10x+25=3
Or,x^2-10x=3-25
Or,x (x-10)=-22
Either
x=-22
Or,
x-10=-22
x=-22+10
x=-12
x=-22,-12
what number decreased by 6 equals 3 times the number
Answer:
-3
Step-by-step explanation:
x-6=3x
2x=-6
x=-3
The required number is -3 decreased by 6 equals 3 times.
A number to be determine when decreased by 6 equals 3 times the number.
What is arithmetic?it explores the numbers of operations according to the statements.
Let the number be x,
Now,
x-6=3x
x= -3
Thus, the required number is -3 decreased by 6 equals 3 times.
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10.
0.7 + 3.89 is closest to which letter on the number line above?
a. G
b. H
c. 1
d. J
Answer:
G
Step-by-step explanation:
Looking at the confidential explaniation, 0.7 + 3.89 would be 4.59z
If P = (5,4), find the image
of P under the following rotation.
270° counterclockwise about the origin
([?], [])
Answer:
Number that fits in the green box is 4.
Step-by-step explanation:
Coordinates of a point P are (5, 4)
Rule for the rotation of a point (x, y) 270° counterclockwise about the origin is,
(x, y) → (y, -x)
By this rule, image of the point P(5, 4) will be,
P(5, 4) → P'(4, -5)
Therefore, number that fits in the green box will be 4.
Answer: (-4,5)
Step-by-step explanation:
i got it right ; )