Answer:The Surface Area of Pyramid is 105 cm².
Step-by-step explanation:
What is Surface Area of Pyramid?
If “P” is the base perimeter, “l” is the slant height, and “B” is the base area, then the total surface area of the regular pyramid formula is given by (½)Pl + B Square units.
Given:
slant height, l= 8 cm
So, the base Perimeter = 4 x 5
= 20 cm
Now, area of the base = 5 cm x 5 cm
= 25 cm²
Then, surface area of a square pyramid
= 1/2 x slant height x base perimeter + area of base
= 1/2 x 8 x 20 + 25
= 80 + 25
= 105 cm²
Help please and both questions
Answer:
the first one is x=7 and the second one is x=6
Solution of alcohol and water is 80% alcohol. Solution is found to contain 32 milliliters of alcohol. How many milliliters total both alcohol and water are in the solution
Triangle ABC was translated to form A’B’C’. Which describes the transformation? Check all that apply
Translation is a rigid transformation. As such, it preserves sizes and angles. Isometric is an alternative way to say the size is preserved. Hence; B, C and E are the correct choices.
What is a triangle?A triangle is a three-sided polygon. A closed shape consisting of three straight lines and three corners. The sum of the three angles of a triangle is always 180 degrees. Triangles come in a variety of shapes and sizes and can be classified according to their angles and sides. The most common type of triangle is the right triangle, which has 90 degree angles.
Translation is the transformation that happens when we move the image without changing anything in it. Therefore, the shape, size, and orientation remain the same.
In this case the triangle ABC has been transformed to A'B'C'. This means that the triangle has been moved in one direction to form a new triangle A'B'C' without changing its size or orientation. This is an example of translation transformation.
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The complete question is follows:
Triangle ABC was translated to form A’B’C’. Which describes the transformation? Check all that apply
A. It is non rigid
B. The size is preserved
C. It is rigid
D. The angles are not preserved
E. It is isometric
Find the value of 'x', round to 4 decimal places.
The value of x is 14.7224.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Sin 60° = x/17 ____(1)
Sin 60° = √3/2 _____(2)
From (1) and (2) we get,
√3/2 = x/17
x = 17√3/2
x = 17 x 1.73205 / 2
x = 14.7224
Thus,
The value of x is 14.7224.
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A crew has paved 3/4 of a mile of road. If they have completed 50% of the work, how long is the road they are paving?
Answer:
1.5
Step-by-step explanation:
Let the value be x,
(3/4) = 50% * x
x = 1.5
Thenks and mark me brainliest :))
I’m not sure how to do this I’m trying to get my makeup work done! So I can start actually going to school and not be behind every week on somthing lol! Thank you so much to whoever helps!
Answer:
1)95
2)180
3)77
4)120
5)244
6)74
I think
Solve this problem
Step by step
Answer:
√259 or 16.09
Step-by-step explanation:
Hello!
I'll be labeling the vertices so that it is easier to understand the sides.
These are both right triangles, and we can find the measures of right triangles (given two other sides) by using the Pythagorean theorem:
[tex]a^2 + b^2 = c^2[/tex]
a = legb = legc = hypotenuse (leg opposite to 90°)In Triangle BCD, we have the measures of the hypotenuse and a leg. We can use that to find the missing side: CB
Since DB is the hypotenuse, it would be side c, and we can say that CD can be side a.
Solve for CB:[tex]a^2 + b^2 = c^2[/tex][tex]10^2 + b^2 = 25^2[/tex][tex]100 + b^2 = 625[/tex][tex]b^2 = 525[/tex][tex]b = 5\sqrt21[/tex]CB in simplest radical form is 5√21.
We can now solve for x, because now in triangle ABC, we have the measures of two sides: hypotenuse AC and leg CB.
Solve for AB:[tex]a^2 + b^2 = c^2[/tex][tex](5\sqrt{21})^2 + b^2 = 28^2[/tex][tex]525 + b^2 = 784[/tex][tex]b^2 = 259[/tex][tex]b = \sqrt{259}[/tex]AB in simplest radical form is √259, which is approximately 16.09.
The solution for x is √259 or 16.09.
You have $15 in savings. Your friend has $25 in savings. You both start saving $5 per week. Write a system of linear equations that represents this situation. Will you ever have the same amount of savings as your friend? Explain.
There are 60 students and 13 teachers on a bus. What is the ratio of students to teachers?
Answer:
60:13
60 students to 13 teachers
A fence around a square garden has a perimeter of 48 feet. What is the exact
length of the diagonal of this square garden?
Answer:
12
Step-by-step explanation:
Gregg deposits the money he makes from mowing lawns into his
savings account, adding it to the money his father gave him to
open the account.
Lawns
Mowed
Money
Saved
5
110
10
170
15
230
20
290
What is the slope and y-intercept of the table?
A.
Slope: -12, y-intercept is -50
B
Slope: 50, y-intercept is 12
C.
Slope: 12, y-intercept is 50
D.
Slope: 50, y-intercept is -12
Answer:
c
Step-by-step explanation:
c
I really need help on this question
Step-by-step explanation:
2×4=8
8×2/3
8×2=16
16×3=48
ans = 48
find the product. write your answer is standard form. no links please.click the picture to see it better
What is the first step for solving 2x 3 7?
the question is of set of equations and the solution is as follows,
the equation is 2x -3 = 7,
First, add 3 to each side to get
2x - 3 + 3 = 7 +3
2x = 10
x = 10/2
x =5.
equations
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For Example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
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What is log and example?
Logs are a type of mathematical operation used to solve exponential equations.
Logs are written as log boxes, where b is the base. The base is the number that the logarithm is being calculated concerning. The x is the number that the logarithm is calculated. Logarithms allow us to convert multiplication and division problems into addition and subtraction.
For example, log2 (8) can be calculated by taking the logarithm of 2, which is 0.301029996, and then multiplying it by 8, which is 2.408239965. This means that log2 (8) is equal to 2.408239965.
Another example is log10 (100). This can be calculated by taking the logarithm of 10, which is 1 and then multiplying it by 100, which is 100.
This means that log10 (100) is equal to 100. Logs are an important tool in mathematics and are used in a variety of fields, such as chemistry, engineering, and economics.
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Determine the Domain and Range of each graph, then decide if the graph is exponential growth or decay.
The required,
1. figure 1, domain and range are (0, ∞) and {25000, 0}, the graph shows the exponential decay.
2. figure 2, domain and range are (-∞, ∞) and {0, ∞}, the graph shows the exponential growth.
The function which is in format f(x) =aˣ where, a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
As mentioned in the question, the graph of two exponential functions are given, we have to determine the domain and range of both function and justify which graph shows the exponential growth and decay.
1.
A general exponential equation is given as,
y = aˣ
Graph 1, the graph shows the exponential decay because the value of the function is getting decreasing for the domain 0 to ∞. For this domain, the value of the function starts from point A which is at 25000 and ends at point B where y = 0, so the range is {25000, 0}.
Similarly,
Graph 2 shows exponential growth,
Domain and range are (-∞, ∞) and (0, ∞).
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Marys doll house has a door that is 60 inches high by 30 inches wide. Mary has a dog bed that is 65 inches on each side. a. Will the doll bed go through the front door of the house? Explain. b. What is the largest bed (to the nearest inch) that will fit through the doll house door?
solve (2+2)+(4+4). help please otherwise I will fail in my test
Sandy ate 1/6 of the candy bar John ate 3/4 of it how much more of the candy bar did John eat then Sandy
Answer: 7/12
Step-by-step explanation:
Based on the given conditions, formulate: 3/4 - 1/4
Find the common denominator and write the numerators above the common denominator: 9/12 - 2/12
Calculate the product or quotient:
Write the numerators over the common denominator: 9-2
12
Calculate the sum or difference: 7/12
Answer: 7/12
A recipe calls for 2 2/3 cups of flour to make two regular batches of cookies. Shiloh needs to make multiple batches of cookies. Represent this situation with an equation. What is the constant of proportionality? How can you identify it in an equation? How can you use an equation to determine if a relationship is proportional?
This situation can be represented with an equation as y = mx + b. The constant of proportionality (m) is a number that represents how much flour is needed for each additional batch of cookies. If the equation is in the form y = mx + b, then the relationship is proportional.
Shiloh needs to make multiple batches of cookies from a recipe that calls for 2 2/3 cups of flour to make two regular batches. To represent this situation in an equation, the equation is y = mx + b, where y is the amount of flour needed for the number of batches (x) Shiloh is making, m is the constant of proportionality, and b is the initial amount of flour needed (2 2/3 cups).
The constant of proportionality (m) in the situation above is the measure of how much flour is needed for each additional batch of cookies. For example, if the constant of proportionality is 0.75, that means Shiloh would need to add 0.75 cups of flour for each additional batch of cookies.
Therefore, if Shiloh is making three batches of cookies, the equation would be y = 0.75x + 2 2/3, and the total amount of flour needed would be 4 1/8 cups (2 2/3 + 0.75 + 0.75).
By using an equation to represent this situation, it is easy to determine if a relationship is proportional.
If the equation is in the form y = mx + b, then the relationship is proportional.
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Trapezoid QRST is dilated by a scale factor of 3.4 to create trapezoid Q'R'S'T'. The perimeter of trapezoid QRST is y units. What is the perimeter in units of trapezoid Q'R'S'T'?
The diameter of a circle is 4 kilometers. What is the circle's circumference?
Answer:
12.57 km
Step-by-step explanation:
Radius = 4 / 2 = 2 km
Circumference = 2πr = 2π(2) = 4π = 12.57 km
Answer:
12.56km
Step-by-step explanation:
C=2pi r
2r=d
C=pi d=4pi=4x3.14=12.56km
Please help I will give 15 points
Answer:
45 units
Step-by-step explanation:
Help plsss giving brainliest
Answer:
True
Step-by-step explanation:
m+m+y+(5a+3m)=5a+5m+y (combine like terms, we do 3+1+1=5 for the coefficent of m
~cloud
help me out thankyou
Answer:
C
Step-by-step explanation:
Anna is buying tickets for a movie.
Each adult ticket costs $9.
Each child ticket costs $5.
Anna spends $110 on tickets.
Anna buys 14 total tickets.
How many adult tickets did she buy?
Answer:
4 child 10 adults
Step-by-step explanation:
stay safe bro
Help and explain, my teacher did not
Answer: x=136 degrees
Step-by-step explanation: All 3 angles inside a triangle added together will get you 180 degrees. 46+90 degrees is 136. 180-136=44 degrees. Now a line is 180 degrees too. 180-44=136 degrees for x.
Which variation is represented by this situation:
A building that is 6 stories tall has a shadow that is 22 meters long.
How many stories tall is a building with a shadow that is 40 meters
long? Is it inverse variation or direct variation?
When a building is 40 meters long in shadow cast by another building of the same height, there are 10 levels there.
what is direct variation ?equation that can be used to explain the mathematical relationship between two variables, where one variable is equal to a constant multiplied by the other. A direct variation's (proportional relationship's) graph is a straight line that pierces the origin. On a graph of direct variation, the graph will always pass through (1, k), where k is the proportionality constant. Direct variation refers to a change in one quantity that directly affects the other. The complete opposite of this is inverse variation.
The equation that describes this variation is:
h =kx
1st Data 2nd Data
s=22 m s = 40 m
h=6 stories h = find 2nd
k=find 1st k = 0.27 story/m
Find k: Find h :
h=kx h = kx
6 stories=k(22 m) h = ( 0.27 story/m ) ( 40 m)
k=6 stories/22 m h = 10 stories
k=0.27 story/m
so its direct variation .
When a building is 40 meters long in shadow cast by another building of the same height, there are 10 levels there.
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What is the length of ab
A triangle is a three-sided polygon with three vertices. The angles of the triangle are formed by the connection of the three sides end to end at a single point. The correct answer Is option c) 6.
What is triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
The diagram shows us a triangle [tex]$\mathrm{ABC}$[/tex], which
[tex]$$m \angle A=m \angle C=63^{\circ}, \quad A B=3 x$$[/tex]
units and [tex]$B C=(4 x-2)$[/tex] units.
The task Is to determine the length of the slde [tex]$\mathrm{AB}$[/tex].
[tex]$\mathrm{ABC}$[/tex] has the following
[tex]$$m \angle A=m \angle C$$[/tex]
In a triangle, we understand that
If the measurements of two angles are equal, then the lengths of the sides or each side are also equal.
so we must have
[tex]B C=A B \\\Rightarrow 4 x-2=3 x \Rightarrow 4 x-3 x=2 \Rightarrow x=2 .\end{aligned}$$[/tex]
As a result, [tex]$\mathrm{AB}$[/tex] will be of length
[tex]$$A B=3 x=3 \times 2=6$$[/tex]
As a result, the side [tex]$A B$[/tex] is 6 units long.
Therefore, the correct answer Is option c) 6.
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A gardener has 400 feet of fencing t0 fence in a bordered rectangular garden: One side of the garden Is river and so it does not need any fencing: river garden What dimensions would guarantee that the garden has the greatest possible area? shorter side: ft (feet) longer side: (feet) greatest possible area: (square-feet) Submit Question
The shorter side should be 200 ft and the longer side should be 200 ft. This would give the garden the greatest possible area of 40,000 square-feet.
1. The area of a rectangle can be calculated by multiplying the length and width together.
A = L * W
2. We know that the total amount of fencing is 400 ft.
3. We also know that one side of the garden is a river and so it doesn't require fencing.
4. Therefore, the remaining fencing must be divided equally between the two other sides of the garden (200 ft per side).
5. We now know that the length and width of the garden are both 200 ft.
6. Plugging these values into the area equation, we get:
A = 200 ft * 200 ft = 40,000 sqft
7. Therefore, the greatest possible area of the garden is 40,000 square-feet..
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