Answer:
Find the area of a triangle ABC when m is less than B = 56 degrees, a = 10 inches, and c = 7 inches
Step-by-step explanation:
pls complete your question
Find the area of a triangle ABC when m is less than B = 56 degrees, a = 10 inches, and c = 7 inches
The area of triangle is 29.081 inch²
What is area of triangle?Heron's formula was first given by Heron of Alexandria. It is used to find the area of different types of triangles like equilateral, isosceles, and scalene triangles or quadrilaterals. We can use heron's formula to find the area of triangles when the sides of the triangle are given. We use the semi-perimeter of the triangle and the side lengths to find the area of the triangle using heron's formula.
Area of triangle ABC = √s(s-a)(s-b)(s-c),
where s = Perimeter/2 = (a + b + c)/2
Given:
<B= 56, a= 10 inch, b= 6 inch
Now,
b²= 10² +7² -2* 7* 10* cos 56
b² = 100+ 49 -78.187
b²= 70.712
b= 8.41 inch
Now, semi- perimeter= (10+ 8.41+ 7)/2
= 12.705
Using heron's formula
=√s(s-a)(s-b)(s-c)
=√12.705(12.705-10)(12.705-8.41)(12.705-7)
=√842.094
=29.018 inch²
Learn more about heron's formula here:
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The graphs below have the same shape. What is the equation of the red
graph?
G(x)=?
F(x) = x^3
A. G(X) = x^3 - 1
B. G(X) = (x - 1)^3
C. G(X) = x^2 + 1
D. G(x) = (x + 1)^3
Factorize 25 – x² =
m2
Answer:
(5 + x)(5 - x)
Step-by-step explanation:
[tex]25 - {x}^{2} \\ \\ = {5}^{2} - {x}^{2} \\ \\ = (5 + x)(5 - x)[/tex]
If Q1=5 and Q3=15, what is the Interquartile range (IQR) and what does it tell you about the data?
Need Help ASAP
Thanks so much in advance...
Answer:
I will post 4,5 and 6 separately.
Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it. A spherical water tank, 24 ft in in diameter, sits atop a 60 ft tower. The tank is filled by a hose attached to the bottom of the sphere. If a 1.5 horsepower pump is used to deliver water up to the tank, how long
Answer:
The time it will take is approximately 104,128 seconds
Step-by-step explanation:
The given parameters are;
The diameter of the tank, D = 24 ft.
Therefore, the tank radius, R = D/2 = 24 ft./2 = 12 ft.
The height of the tower on which the tank sits, h = 60 ft.
The hose through which the tank is filled is attached at the bottom of the tank
The radius of a slice of sphere, r = √(R² - y²) = √(12² - y²)
The power of the pump which is used to deliver the water = 1.5 horsepower
The volume of a slice of water in the tank, V = π·r²·Δx = π·(√(12² - y²))²·Δx ft³ = (144 - y²)·π·Δx ft³
The force of the slice, F = V·g·ρ = (144 - x²)·π·Δx ft³ × 62.5 lb/ft³
Let '[tex]y_i[/tex]' represent the height to which each slice is pumped in the tank, we have;
y = R - (√(R² - x²)) = 12 - (√(144 - x²)
[tex]\lim\limits_{n \to \infty}\ \sum\limits_{i=0}^n (144 - x^2) \cdot \pi \times 62.5 \cdot y_i\ \Delta x \ lb[/tex]
The work done is therefore;
[tex]W = 62.5\times\pi \times \int\limits^{12}_{-12} {(144 - x^2) \cdot(12-(\sqrt{144-x^2} ) \ } \, dx = 632044.366475 \ ft. \cdot lb[/tex]
The work done in filling the tank, W = 632,044.366475 ft·lb
The work done in lifting the water to the base of the tank, W₂ = V·ρ·g×h
[tex]\therefore W_2 = 60 \times 62.5\times\pi \times \int\limits^{12}_{-12} {(144 - x^2) \ } \, dx = 632044.366475 \ ft. \cdot lb = 85273382.0257[/tex]
Therefore, W₂ = 85,273,382.0257 ft.lb
The total work done by the pump,
W = 85,273,382.0257 ft.lb + 632,044.366475 ft·lb = 85,905,426.3922 ft.lb
The time it will take the pump to fill the tank, 't', is given as follows;
1
Power, P = Work, W/(Time, t)
∴ t = W/P
P = 1.5 HP = 550 × 1.5 ft·lb/s = 825 ft·lb/s
t = 85,905,426.3922 ft.lb/(825 ft·lb/s) = 104,127.789566 s
The time it will take, t ≈ 104,128 seconds
I need these three and they shouldn’t be too hard.
Answer:
i dont know
Step-by-step explanation:
sorry my man my school is still just going into these kind of questions ):
4.
Mental Math Write the ratio
7
to 10 as a fraction in simplest form.
The ratio in simplest form is
(Type the ratio as a simplified fractional
Answer:
7/10
......................
helpp it due in 10 min!!!
the answer for that should be C
Answer:
I think its c
Step-by-step explanation:
4 is the initial cost and 55 is the amount per ticket
In ΔVWX, w = 770 inches, x = 520 inches and ∠V=81°. Find the area of ΔVWX, to the nearest square inch.
Answer: 197735
Step-by-step explanation: deltamath
Answer:
197735
Step-by-step explanation:
see attached image
write any odd number and find their sum product
Answer:
3?
Step-by-step explanation:
a culture of bacteria has an initial population of 2100 bacteria and doubles every 4hours. using the formula Pt = P0 • 2 t/d, where Pt is the population after t hours, P0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 11hours, to the nearest whole number?
Answer:14127
Step-by-step explanation:
Po=2100
T=11
D=4
Pt=po•2 t/d
Pt=2100•2 11/4
Pt=14127.0598=14127
I need help with Mean, Median and Mode
Answer:
there is no attachments but The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.
Step-by-step explanation:
Help pls will give BRAINLY
Answer:
A. Mean
Step-by-step explanation:
Jordan is flying a kite, which gets caught in the top of a tree. The angle of elevation made by the string on the ground is 44 degrees. The distance from the bottom of the string to the base of three is 90 feet. What is the height of the tree
Answer:
87 Feet
Step-by-step explanation:
It's been a while since I used trigonometry, but here is what I got.
We know that 44 degrees in the angle from the string to the base of the ground.
We also know that the length from that angle to the base of the tree is 90 feet.
So using the SOH, CAH, TOA rule we know that to figure out the opposite side (x) length using the adjacent side (90) length we need to use tangent of 44 degrees.
The equation should be tan(44°) = x/90
Tan(44°)=0.96589
Now you multiply that number by 90 to find x.
Hope that helped, let me know if it did or not.
X2 + 8x + y2 - 2y =64
Sorry, you guys I put the subject in Math its english! But have a nice day! and please help me!
Answer:
disappoint
recall
disgusted
reunited
prepare
1 Sole for x. Round your answer to the nearest tenth.*
17
6
Answer:
15.9
Step-by-step explanation:
Formula:
a² + b² = c²
6² + x² = 17²
36 + x² = 289
x² = 253
[tex]\sqrt{x^2} =\sqrt{253}[/tex]
x = 15.91
The value of x will be equal to x = 15.9.
The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.
Given that the sides of the triangle are,
a = 6,
b = x
c = 17
The value of x will be calculated as,
a² + b² = c²
6² + x² = 17²
36 + x² = 289
x² = 253
x = 15.91
Therefore, the value of x will be equal to 15.91.
To know more about the Pythagorean theorem follow
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Need this right now! TwT
Answer:
[ -3 +(-5)][-3-(-5)]
( -8)(2)
= 16
Step-by-step explanation:
where there's x put-3 and where there's y put-5
I don't see =0 so I don't believe you will have to equate further
Answer:
-16
Step-by-step explanation:
Hello There!
For this one we also need to plug in the values and solve
(-3+(-5)(-3-(-5)
first lets distribute the -3 to -3 and -(-5)
-3x-3=9
-3x5=-15
9-15=-6
now lets distribute the -5 to the -3 and -(-5)
-5x-3=15
-5x5=-25
-25+15=-10
-10-6=-16
so the answer would be -16
Luis has $60 in his savings account. He earns $12 per hour at his job. Luis plans to buy a bicycle for $240.
If he uses his savings, how many hours does Luis need to work in order to have exactly $240 to buy the bicycle?
Answer:
15 hours
Step-by-step explanation:
help please
thank you for your help
Answer:
3(7+x²)x-2
3x(7+x²)-2
21x+3x³-2
Can someone help please
Answer:
Angle 2 = 34 degrees
Angle 4 = 34 degrees
Step-by-step explanation:
Angle 7 = Angle 1
180 - 146 = 34 degrees
so Angle 2 and 4 are 34 degrees, since they are congruent.
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
I need some help thanks!
-
Answer:
9 inches
Step-by-step explanation:
Let's call the width x and length 2x
The perimeter is calculated by adding all side lengths
so x + 2x + x + 2x = 54 inches add like terms
6x = 54 divide both sides by 6
x = 9 inches that's the answer.
HELP!!!!! WILL GIVE BRANLIEST !!!!!
Answer:
F = (-2,4); E = (-2,0); D = (2,0)
Step-by-step explanation:
F = 4 points from A, so by a scale factor of 2, it would be 2 times father away from A. The same thing applies for all of the other points; just find how much father A is from a point, then dilate that point by multiplying it by the scale factor, and settling the point closer or father from A.
25 liters of water are pumped into a dam in 20 seconds
how much water will be pumped in within 3 minutes??? help please
1 minute = 60 seconds.
3 minutes x 60 seconds = 180 seconds.
180 seconds / 20 = 9
25 liters x 9 = 225
Total water in 3 minutes = 225 liters
Answer:
225 liters
Step-by-step explanation:
There is 25 liters in 20 seconds, so you keep adding 20 seconds while adding 25 liters each time. 180 = 3 minutes
25 20
50 40
75 60
100 80
125 100
150 120
175 140
200 160
225 180
Number of points scored in each basketball game: 28,16,38,44,21,38,35,48,33,29,37,39,18,38,42,37,32
Answer:
unm okay? is there anything more to the question?
The quotient of two times a number and 5 is no more than 14.
Answer:
2x/5 <14
Step-by-step explanation:
The answer and I will mark Brainalist
Answer: G would be your answer, or c = 8k + 24
Step-by-step explanation:
Answer:
it is G) c=8k + 24
Step-by-step explanation:
brainliest pls
5 members or 20% of the math league did not come to the meet. how many total members are there
5 = (20%) x (total)
5 = (0.20) x (total)
Divide each side by (0.20):
Total = (5 / 0.20)
Total = 25
A rectangular yard is X feet wide. The yard is 4 feet longer than it is wide. The perimeter P of yard is given by the equation P= 4x + 8. If the perimeter of the yard is 84 feet how long is the yard?
A. 19 feet
B. 23 feet
C. 24 feet
D. 28 feet
Given:
Width of the rectangular yard = x feet
Length of the rectangular yard = x+4 feet
Perimeter of the rectangular yard is:
[tex]P=4x+8[/tex]
Perimeter of the yard = 84 feet
To find:
The length of the rectangular yard.
Solution:
Perimeter of the yard is 84 feet.
[tex]4x+8=84[/tex]
[tex]4x=84-8[/tex]
[tex]4x=76[/tex]
Divide both sides by 4.
[tex]x=\dfrac{76}{4}[/tex]
[tex]x=19[/tex]
So, the width of the rectangular yard is 19 feet.
Length = [tex]19+4[/tex]
Length = [tex]23[/tex]
The length of the rectangular field is 23 feet.
Therefore, the correct option is B.
does anyone know what
6 divided by 31.2