Answer:
Step-by-step explanation:
we know two sides of a triangle, one side is 7 feet, the other is 12 feet , so use Pythagoras theorem
[tex]C^{2}[/tex] = [tex]A^{2}[/tex] + [tex]B^{2}[/tex]
[tex]C^{2}[/tex] = [tex]7^{2}[/tex] + [tex]12^{2}[/tex]
[tex]C^{2}[/tex] = 49 + 144
[tex]C^{2}[/tex] = 193
C = [tex]\sqrt{193}[/tex]
C = 13.89 feet
Answer:
The square of the hypotenuse equals the square of the sum of the other two sides.
13.89ft
Step-by-step explanation:
Definition Of Pythagoras Theorem :The Pythagorean theorem states that the total of the squares on a right triangle's legs equals the square on the hypotenuse (the side opposite the right angle)—or, in popular algebraic form, a2 + b2 = c2.
Given:Height of the Tent Pole = 7ft.
Base of the Pole of the Tent = 12ft.
Now we will use Pythagoras theorem to find how long the rope is.
Use of Pythagoras theorem
[tex]\begin{aligned}&C^{2}=A^{2}+B^{2} \\&C^{2}=7^{2}+12^{2} \\&C^{2}=49+144 \\&C^{2}=193 \\&C=\sqrt{193} \\&C=13.89 \text { feet }\end{aligned}[/tex]Hence, the length of the rope is 13.89ft.
To know more about Pythagoras theorem here
https://brainly.com/question/343682 #SPJ2
Select the correct answer.
What is the value of x in the triangle?
Answer:
D. 2√2
Step-by-step explanation:
sin 45° = 1/√2
P/H = 1/√2
x/4 = 1/√2
= 1/√2 × 4
= 4/√2
x = 4×√2/√2×√2
= 4√2 /2
= 2√2
Option D. 2√2
6(2x-3) - 2(2x+1)
can someone get an answer for that ASAP pls
no links :)
Answer: 8x−20
Step-by-step explanation:
Distribute:
=(6)(2x)+(6)(−3)+(−2)(2x)+(−2)(1)
=12x+−18+−4x+−2
Combine Like Terms:
=12x+−18+−4x+−2
=(12x+−4x)+(−18+−2)
=8x+−20
Answer:
[tex]6 \times 2x = 12x\\ 6 \times - 3 = - 18 \\ - 2 \times 2x = 4x \\ - 2 \times 1 = - 2 \\ now \: add \: like \: terms \\ 12x - 4x = 8x \\ - 18 - 2 = 20 \\ \frac{ - 8x}{8} = \frac{20}{8} \\ x = 2.5 \: or \: \frac{5}{2} [/tex]
Step-by-step explanation:
brainiest please
what's the answer ?
[tex] \sqrt{7 \times 343} [/tex]
Answer:
49
Step-by-step explanation:
[tex]\sqrt{7(343)}[/tex]
= [tex]\sqrt{2401}[/tex]
= 49
Answer:
[tex]\sqrt{7*343}=49[/tex] ✔︎
Step-by-step explanation:
[tex]Simplify~ the~ radical ~by ~breaking ~the~ radicand ~up~ into ~a ~product ~\\of known factors[/tex]
᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄
The cone has a base diameter of 20cm and a slant height of 25 cm.
A circle is drawn around the surface of the cone at a slant height of 10cm above the base.
The curved surface of the cone above the circle is painted grey.
Work out the area of the curved surface of the cone that is not painted grey,
Give your answer as a multiple of
You must show all your working.
Answer:
The area of the cone not painted is approximately 196.35 cm²
Step-by-step explanation:
The question relates to similar shapes;
We have;
The base diameter of the cone, D₁ = 20 cm
The slant height of the cone, l₁ = 25 cm
The height at which the circle is drawn, 10 cm above the base, we have; l₂ = 25 cm - 10 cm = 15 cm
Let 'x' represent the diameter of the circle formed by the drawn circle, we have;
By similar triangles, we get;
D₁/l₁ = x/l₂
x = l₂ × D₁/l₁
20/25 = x/15
x = (20/25) × 15 = 12
The curved surface area of the cone, A = π·r·l
The area of the curved surface of the entire cone, A₁ = π·r₁·l₁
r₁ = D₁/2
Therefore, we get, A₁ = π × 20/2 × 25 = 250·π
A₂ = π × 15/2 × 25 = 187.5·π
The area of the cone not painted, A = A₁ - A₂
∴ A = 250·π - 187.5·π = 62.5·π
The area of the cone not painted, A = 62.5·π ≈ 196.35
The area of the cone not painted ≈ 196.35 cm²
Help! Will give out brainliest
Answer:
75
Step-by-step explanation:
don't know how to explain hope this helps
it would be 75
-----------------------------------------------------------------------------------------------------------------
20 cm
20 cm
20 cm
Find the area of the figure above.
[?] cm2
Answer:
We first ALWAYS have to split the figure apart from each other,
lets split it into a triangle and a square!
Let's find the area of the triangle:
20(height) x 20(base) = 400!
400 x 1/2 (just dividing by 2) = 200!
*Remember* Formula of a triangle is:
B(base) x H(height) x 1/2 (basically dividing by 2)
Now time to find the area of the square!
20 x 20 = 400!
Now let's add both their areas:
400 + 200 = 600!
Step-by-step explanation:
600cm2 is your answer.
The figure has an area of 600 square centimeters.
In this question we need to determine the area of the entire figure, this area is the sum of the areas of a square and two symmetric right triangles, defined by respective formulas, that is:
[tex]A = A_{s} + 2\cdot A_{t}[/tex] (1)
Where:
[tex]A[/tex] - Total area, in square centimeters.[tex]A_{s}[/tex] - Square area, in square centimeters.[tex]A_{t}[/tex] - Triangle area, in square centimeters.By applying area formulas for squares and triangles, we expand (1):
[tex]A = x^{2} + \frac{1}{2}\cdot x\cdot y[/tex] (2)
Where:
[tex]x[/tex] - Side length of the square, in centimeters.[tex]y[/tex] - Height of the two right triangles, in centimeters.If we know that [tex]x = 20\,cm[/tex] and [tex]y = 20\,cm[/tex], then the area of the figure is:
[tex]A = \frac{3}{2}\cdot (20\,cm)^{2}[/tex]
[tex]A = 600\,cm^{2}[/tex]
The figure has an area of 600 square centimeters.
We kindly invite to check this question on areas: https://brainly.com/question/16418397
how do i do tangent lines?
Answer:
x = 154°
Step-by-step explanation:
The 4 interior angles of the quadrilateral sum to 360°
The angles between the tangents and the radii = 90°
Then
x = 360° - (90 + 90 + 26)° = 360° - 206° = 154°
Pls Answer! Will give brainliest. Khanna earns a annual salary of $33,000. Her federal income tax bracket is 20%. She also must pay 7.65 % Social Security and Medicare taxes. She plans to deposit 15% of her net income into a savings account. Rounded to the nearest dollar how much will she save annually?
3203
3581
3960
4571
Answer: $3,581
Step-by-step explanation:
As she plans to save from her net income, we have to find the net income first:
= Net income - Federal taxes - Social and Medicare taxes
= 33,000 - (33,000 * 20%) - (33,000 * 7.65%)
= $23,875.50
The savings will be:
= Net income * Savings percentage
= 23,875.50 * 15%
= $3,581.325
= $3,581
To the nearest cent, what is the ,begin emphasis,mean,end emphasis, weekly income of these employees?
Answer options with 4 options
A.$115.64
B.$138.05
C.$140.23
D.$157.38
Answer:
I think b?
Step-by-step explanation:
Answer:
157.38
Step-by-step explanation:
if you add all those numbers you will get 1888.59/12= 157.38
The units of area and volume are..
Answer:
Area is measured in square kilometres
Step-by-step explanation:
Volume measures the space inside a 3-dimensional objects
A positive number is 5 times another number if 21 is added to both the numbers the one of the new numbers becomes twice the other number. what are the numbers
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.....
A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers? Thus, the required numbers are 7 and 35
A picture is attached!
Hope it helps!
Brainliest pls!
Follow me! :)
Write an equation modeling the revenue generated: x1 + x2 = 9,000
Answer: Small correction from the bottom one its 35, 22
Step-by-step explanation: Edginuity 2021 just got is right.
Answer:
35 and 22
Step-by-step explanation:
The following two-way table shows the number of students of a school who have a cell phone and/or have a part-time job: Have Cell Phone Do Not Have Cell Phone Total Have Part time Job 40 10 50 Do Not Have Part time Job 10 40 50 Total 50 50 100 Based on the table, how many students have both a cell phone and a part-time job? (5 points) Question 14 options: 1) 10 2) 40 3) 50 4) 100
Answer:
I think it is B, so the correct answer is 40
Step-by-step explanation:
Answer:
The other guy is correct, the correct answer is B. 40.
Step-by-step explanation:
Under Students that have a cell phone and under students that have a part-time job the total amount of people is 40
5y + 32 = -64 find the value of y
Answer:
[tex]y = 19 \frac{1}{6} [/tex]
Step-by-step explanation:
[tex]5y + 32 = - 64 \\ 5y = - 64 - 32 \\ 5y = 96 \\ \frac{5y}{5} = \frac{96}{5} \\ y = 19 \frac{1}{6} [/tex]
hope this helps you.
Can I have the brainliest please?
Have a nice day !!!!
~Hi1315~
5 balloons in 12 minutes. At this rate, how many balloons can she blow up in 3 hours?
Answer:
75 ballons in 3 hours
Step-by-step explanation:
We know the ratio min to balloon, 12:5.
A common factor of 60 is 12 and 5. We know that 5 balloons will come out of the 12 interval mark. [tex]5*5:12*5[/tex] So each hour, we get 25 balloons per hour. Multiply 3 on both sides of the equation to get the total amount of balloons. [tex]5*5*3:12*5*3[/tex]
So, 75 balloons is how many she can blow up in 3 hours.
Michelle drives her car around a square track each side of the track is 30 feet long. How many times does the car need to go around the track to go a total distance of1,200 feet/
Answer:
10 times
Step-by-step explanation:
distance covered once is equal to the perimeter of the square
perimeter of the square = 4 x length
4 x 30 = 120 ft
number of times = 1200 / 120 = 1-
NEED HELP ASAP!!! EASY QUESTION :)
Can somebody please help? It don't get it
Answer: 4
14 is shown... then you have 10 that is shown how much more would it take to make 14..... 4 more
10+x=14
x=4
Answer:
Equation: 14 - j = 10
j = 4
Step-by-step explanation:
Is the ratio 15:12 equivalent to these? Explain your reasoning.
Let's simplify the ratio
[tex]\\ \sf\longmapsto 15:12[/tex]
[tex]\\ \sf\longmapsto \dfrac{15}{12}[/tex]
Cancel by 3[tex]\\ \sf\longmapsto \dfrac{5}{4}[/tex]
[tex]\\ \sf\longmapsto 5:4[/tex]
A triangle has interior angles of 101 degrees, 65 degrees, what is the other degree?
Answer:
180 degrees - 101 degrees - 65 degrees = 14 degrees
Find the total area round to the nearest 10th if necessary use the pi symbol on calculator
Answer:
[tex] Total \:area\approx 290.5\: ft^2 [/tex]
Step-by-step explanation:
Total area [tex] =\frac {1}{2} \pi r_1^2 +\frac {1}{2} \pi r_2^2 [/tex]
(where [tex] r_1 = 22/2 = 11 \: ft, \: \:\:r_2 = (30-22)/2 = 4 \: ft[/tex])
[tex]\therefore Total \:area=\frac {1}{2} \pi( r_1^2 + r_2^2) [/tex]
[tex]\therefore Total \:area=\frac {1}{2} \times 3.14(11^2 + 8^2) [/tex]
[tex]\therefore Total \:area=1.57(121 + 64) [/tex]
[tex]\therefore Total \:area=1.57(185) [/tex]
[tex]\therefore Total \:area=290.45\: ft^2 [/tex]
[tex]\therefore Total \:area\approx 290.5\: ft^2 [/tex]
An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of
ibuprofen left in the persons system. How long will it take until there is only 25 mg
of ibuprofen left in the person's system? Show all work and round your answer to
three decimal places.
Answer:
It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.
Step-by-step explanation:
An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of
ibuprofen left in the persons system
This means that in 2 hours time
400- 201.6= 198.4 mg was used up.
We need only 25 mg in the system
so 400- 25= 375 mg time is needed
time mg
2 hour 198.4
x 375
Using the cross product rule
x= 375*2/198.4
x= 3.780 hrs
Which means 3 hours and (0.78* 60)= 46.8 minutes.
It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.
could you help me with this maths problem please
10 - ____ = 9 1/8
i need to find the fraction taken away from 10 to get 9 1/8
Answer:
12
Step-by-step explanation:
I forgot Sorry
Answer:
The answer is 7/8.
You can simply bring 9⅛ to the left hand side
You'll have your answer .
To verify
10-7/8 = 73/8
which further simplifies to 9⅛.
Thanks
Can some one help on number 5 and 6 please
Step-by-step explanation:
To find mean-
you add all the #'s together and then (/) them by the amount of the #'s
#5. 8, 2, 3, 5, 7
8+2+3+5+7
10+8+7
10+15
25
25/ 5
5
#6. 4, 1, 6, 3, 6, 4
4+1+6+3+6+4
5+9+10
5+19
24
24/ 6
4
The median is the (middle) you have to put the #'s in order least to greatest
#5. 2, 3, 5, 7, 8
cross one by one on both sides
3, 5, 7,
5
#6. 1, 3, 4, 4, 6, 6
3,4,4,6
4,4
4 (because in the middle of 4 and 4 well is 4) (if you had 5 and 6 left it would be 5.5)
The mode is the # that appear the most often in the set of data.
#5. there is no more because there is one of each # there is none that has 2 or more (N/A)
#6. 1,3, 4, 4, 6, 6
the mode is 4 and 6
because those #'s have 2 or more and they are both at 2 so they are both the mode
29
7. Find the least number that must be added to 1300 so as to get a perfect square. Also, find the square root of the
perfect square
Answer:
69 need to be added
Step-by-step explanation:
1300 +69 = 1369
37 ² = 1,369
square root of 1,369 is 37
Hiiiooo! Can someone please help ❤️
Answer:
B. √21
Step-by-step explanation:
x^2 = √5 x √5 + 4 x 4
x^2 = 5 + 16
x^2 = 21
x = √21
Hope that helps! :)
-Aphrodite
Answer:
im not entirely sure but the equation for your hypotenuse (x) is [tex]\sqrt 5^{2} * 4^{2}[/tex]
which is 80 and the square root of 80 is 8.944 and that would be your hypotenuse
(i just realized that is completely wrong, sorry)
how much paper is needed to cover a rectangular bulliten board that is 29 in. wide and 37 in. high?
Answer:
1073 inches squared.
Step-by-step explanation:
To find how much paper is needed to cover the board, you have to find the area. The formula of area for rectangles is length times width or as you said in the question width times height.
To find the answer:
Area = length * width
Area = 29 * 37
Area = 1073 inches squared.
Don't forget to add the units!
BM 1: 2. Find the value of angles x and y in circle A.
.X=
150°
175°
y =
to
Answer:
x = 35
y = 17.5
Step-by-step explanation:
By Central angle and its corresponding arc theorem:
x° = 360° - (175° + 150°)
x° = 360° - 325°
x° = 35°
x = 35
By inscribed angle theorem:
[tex]y \degree = \frac{1}{2} x \\ \\ y\degree = \frac{1}{2} \times 35 \degree \\ \\ y\degree = 17.5 \degree \\ \\ y \: = 17.5[/tex]
Answer:
x=35 y=17.5
Step-by-step explanation:
This problem wants you to find the angles of an inscribed and central angle.
Note: central angles are angles that have radii as there sides and the center (of the circle) as its center. Inscribed angles are angles that have chords as there sides and there vertex as a point on a circle.
I will by find the measure of the missing arc. To do this is simple, Just add 175+150 and subtract from 360,
175+150= 325
360-325=35
So, the missing arc length is 35. X is a central angle and central angles are equal to the arc length. This means that,
x=35
Lastly, we need to find y, an inscribed angle. Inscribed angles are half of the arc length. So, the measure of y is 17.5
y=17.5
pleas helppp!! lol :)
Answer:
Circumference of the circle with a radius of 5 is 31.42
Step-by-step explanation:
Answer:
The 1st one is: 31.4cm
Step-by-step explanation:
1st: 2 x 3.14 x 5 = 31.4
Gina drew three small congruent circles
beside one large circle.
2 cm
Based on the diagram, which answer
choice is closest to the area of the large
circle?
F 28.3 cm?
H 18.8 cm?
G 12.6 cm? J 24.4 cm?
7.9B
Answer:
7.9
Step-by-step explanation: