Answer:
The base of a right pyramid is an equilateral triangle with area 16√3 cm². area of one of its lateral faces is 30 cm²
To find : height (in cm) i
Solution:
The base of a right pyramid is an equilateral triangle with area 16√3 cm²
Area of an equilateral triangle = (√3 / 4) Side ²
(√3 / 4) Side ² = 16√3
=> Side ² = 64
=> Side = 8 cm
Distance of center of triangle to mid point of Side for Equilateral triangle = side/ 2√3 = 8/ 2√3 = 4/√3
Let say Height = H
Slant Height = √((4/√3)² + H²)
Area of lateral surface = (1/2) * base * Slat Height
= (1/2) * 8 * Slant height = 30
=> Slant height = 15/2
15/2 = √((4/√3)² + H²)
=> 225/4 = 16/3 + H²
=> 611/12 = H²
=> H = 7.135 cm
Step-by-step explanation:
Write an equation for this table
Answer:
Explained below
Step-by-step explanation:
a = Amy
s = sister
s x 5 = a
Plug in the numbers:
2 x 5 = 10
4 x 5 = 20
6 x 5 = 30
8 x 5 = 40
As you can see, Amy's pay is shown as 5 times more than her sister's.
Hope this helps! :)
Answer:
Equation: "5x" or "5x + 0"
Step-by-step explanation:
This is a linear function since the change in x and y values is constant. Let "Amy's pay in dollars" be represented by x, and "Sister's pay in dollars" be represented by y. Since x value is going up by +10 every time, that will be our numerator, and since y value is going up by +2 every time, that would be the denominator, according to the slope equation: [tex]\frac{x}{y}[/tex]. Thus it would give the equation as [tex]\frac{10}{2}[/tex], if simplified, our slope will be 5/1 also can be written as 5. Now to find the y-intercept we have to see the y value where x value is 0. To get x = 0 you have to imagine the table given going backwards. Meaning just as how to move to the right of the table by adding 10 to the x-value and 2 to the y-value, you would have to subtract 10 from the x-value and subtract 2 form the y value. Keep doing this until you have 0 for x-value and notice the y-value would be 0. Hence, the y-intercept for this equation would be 0.
Hope this helps, Good Luck!
On a scale drawing 1/4inch=1 foot. What are the dimensions on the scale drawing of a room that is actually 8 feet by 16 feet?
The drawing will be 2 by 4 inches.
Steps:
1) convert the fraction into a decimal: .25
2) multiply this decimal by the values 8 and 16: 8(.25) 16(.25)
3) Solve: 8(.25)=2 16(.25)=4
HEEEELLLPPP PLLLLZZZZ
Answer:
352
Step-by-step explanation:
A=2(wl+hl+hw)=2·(4·8+12·8+12·4)=352
Answer:
352 inches^2
Step-by-step explanation:
I hope this helps :)
The lengths of the legs of a right triangle are 9 feet and 12 feet. What is the length, in feet, of the third side of the triangle?
A. 21
B. 15
C. 10.5
D. 7.9
my teacher assigns 18 million things can you help me please
Answer:
the inequality is 4
Step-by-step explanation:
you would add 3 to both sides
13+3 = 16
4x > 16
then you divide 4 by both sides and get 4
At what position on the number line is the red dot located?
A. √5
B. √11
C. √7
D. √3
43. Find the length of the hypotenuse in this triangle.
Answer:
5
Step-by-step explanation:
use the pythagorean theorem
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
[tex] {h}^{2} = {(4)}^{2} + {(3)}^{2} [/tex]
[tex] {h}^{2} = 16 + 9[/tex]
[tex] {h}^{2} = \sqrt{25} [/tex]
[tex] {h}^{2} = \sqrt{25} = 5[/tex]
Giving brainliest if you answer this question correct!1!1!1!1!!!
The traffic-control monitor on the freeway shows 200 vehicles per minute passing the camera in 5 minutes. Of those vehicles, on average, 125 have one passenger, 60 have four or fewer passengers, and 15 have more than four passengers. What is P(vehicles with more than four passengers)?
Answer:
3/40
Step-by-step explanation:
plss help i will give brainliest
Answer:
we cannot see the picture.
Answer:
in my opinion the D one is true
Step-by-step explanation:
(Help me please) Read all of it pls?
Benny wants several different color plates for his birthday. Benny wants to get 144 green plates, 72 black plates, and some amount of orange plates. in total, Benny wants 132 plates, so how many orange plates should he get?
Answer:
this cannot be solved due to a typo or smth
Step-by-step explanation:
benny wants 132 plates in all, and 144 (the amount of green plates) itself is already greater than 132
53. Find the value of x and y. Round your answer to two decimal places.
Answer:
x=4,90
y=8.66
Step-by-step explanation:
pythagoras thereom:
7²-5²=24
√24=4.90
10²-5²=75
√75=8.66
Marta's dog just had six puppies. Four are female (F), and two are male (M). One of the males is brown. Two of the females are brown. All puppies are either brown or white.
If Marta randomly gives away puppies to her friends, what is the probability of a friend getting a puppy that is male, brown, or both?
Answer the questions to find out.
1. How many male puppies are there?
Write your answer in the space below.
2. How many brown female puppies are there?
Write your answer in the space below.
3. How many puppies are male, brown, or both?
Write your answer in the space below.
4. What is the probability that a puppy Marta gives away is male, brown, or both? Explain.
Write your answer in the space below.
Answer:
2
2
5
83.3 repeated
Step-by-step explanation:
Helllppppp
-2 1/3-(-5)
Answer:
2.66 :)
Step-by-step explanation:
The answer is 8/3 or 2 2/3
Please helppppppppppppp!!!!?
Answer:
c
Step-by-step explanation:
Please help ASAP!!!!!
Create and Solve an equation to find the unknown angle.
Answer:
Equation: 2x + 3x + 10 = 180
x = 34
Top angle = 68 degrees
Bottom angle = 112 degrees
Step-by-step explanation:
The two angles add to 180, so set them equal to 180.
2x + 3x + 10 = 180
5x + 10 = 180
- 10 - 10
5x = 170
/ 5 / 5
x = 34
Plug x into angles,
2(34) = 68
3(34) + 10 = 112
Calculate the area of each shape below. Figures are not drawn to scale.
Answer:
sorry its impossible to take out the ans of this
Answer:
A = 168 m²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 8 + 16 = 24 and h = 14 , then
A = [tex]\frac{1}{2}[/tex] × 24 × 14 = 12 × 14 = 168 m²
i really need help please and thank you
Answer:
15 and 20
Step-by-step explanation:
Answer:
13 is answer
5=y-8
5+8=y
y=13
5<13-8
5<5
GIVING BRAINLIEST ONLY IF CORRECT
Option 2
It's just the black part and the empty square under which is 1/2 and the red square with the empty square under is 1/2 so it's 1/2 x 1/2
The probability of a chance event is 0.5, it is __________ to happen when compared to a chance event with a probability of 1.
Select one:
less likely
more likely
both more and less likely
equally likely
Answer:
less likely
Step-by-step explanation:
Probability is between 0 and 1 so 1 is guaranteed to happen and 0 is guaranteed to not happen
Answer:
less likely
Step-by-step explanation:
0.5 is less then one there for the probability of 0.5 is less then 1.
Solve the given equation.
5g = 95
what is g
Answer:
g= 19 hope this helped :)
Step-by-step explanation:
95÷5= 19
g= 19
HELP I NEED ANSWER BEFORE 11 59
47. Calculate the value of c in the triangle below.
Using the Pythagorean theorem
C = sqrt( 9^2 + 40^2)
C = sqrr(81 + 1600)
C = sqrt(1681)
C = 41 cm
Answer:
41 cm
Step-by-step explanation:
c = a^2 + b^2 = 9^2 + 40^2 = 41
Fundamental Counting Principle (L1)
Can someone help me i really needed
Answer:
C: √74
Step-by-step explanation:
We have to use the Pythagorean theorem to answer this (a² + b² + c²). We have a and b so all we have to do is square 5 and 7 (a and b) so we get a² b², then we add this to get c² as stated by the Pythagorean theorem. So, 7² (7 x 7) is 49, and 5² (5 x 5) is 25. 25+49 (a² + b²) is 74 (c²). So the square root of this would be the absolute length of the hypotenuse because this is the hypotenuse squared. Meaning that the answer would be √74 (square root of 74)
48. Calculate the value of c in the triangle below.
Answer:
17
Step-by-step explanation:
c = a^2 + b^2 = 15^2 + 8^2 = 17
How many triangles exist with the given angle measurements? 25, 65, 85
Answer:
0
Step-by-step explanation:
There are supposed to be 180 degrees in every triangle.
Therefore, no triangles exist.
A group of students is surveyed to determine their music genre preference. The results are shown.
Complete the table.
Frequency Relative Frequency
Slope of the graph?
( irrelevant answers and links will be reported)
What formula do we use to find area of a circle?
Group of answer choices
A=πr2
A=3.14d
A=πd
Answer:
Your answer is A.
Step-by-step explanation:
When finding the area, you multiply π (3.14) and the radius (r). Then, you square the product (x2).
So, it is A = πr2
Hope this helps! :)