3/4m(4m+16n) + m/n open the bracket of equation,
3/4m(4m+16n) + m/n = 3+ 12n/m + m/n
now multiply and devide by mn on RHS,
3/4m(4m+16n) + m/n = (3mn+12n²+m²)/mn
Someone please help me out!!
Step-by-step explanation:
the other answer is correct and simple (based on simply applying definitions and formulas).
to help you with understanding the background there are actually 2 direct ways to solve this.
trigonometry is always about angles in a circle. even if and when we are taking about angles in other shapes like triangles. we simply need to imagine a circle around the shape in question going through the important points.
so the first way is to imagine a circle with the center in point C and going through point A.
the radius of that circle is 40 (AC).
so, sin(C) × 40 = 24
cos(C) × 40 = 32
tan(C) = sin(C)/cos(C) = (sin(C)×40)/(cos(C)×40) = 24/32
= 3/4
fit the second way imagine a circle with the center again in point C and going through point B.
the radius of that circle is 32 (BC).
here now tan(C) × 32 = 24 (AB).
yes, AB would in that scenario be directly tan(C), but it is multiplied by the radius.
so, to get the "pure" tan(C), we need to divide this length by the radius.
=> 24 / 32 = 3/4
simply the complex numbers: (2 + 5i)(1 – 3i)
Answer:
17 just multiply the like dot product of vectors
Either enter an exact answer in terms of π or use 3.14, for π and enter your answer as a decimal?
Answer:
56.54
Step-by-step explanation:
Circumference of a circle = 2πr
However, this is a semicircle
Curved circumference of the semicircle = πr
Diametrical length = 2r
Therefore, circumference of a semi circle is πr + 2r
Circumference of a semicircle = πr + 2r
r = 11
Circumference of a semicircle = πr + 2r
= (3.14 * 11) + (2 * 11)
= 34.54 + 22
= 56.54
How do you solve this?
Answer:
C
Step-by-step explanation:
C is the right one
a five-question quiz is taken in which the first and second questions have four answer choices the third and fourth questions have three answer choices and the last question has five answer choices a student randomly marks an answer for each question, what is the expected number of questions he will answer correctly
Answer:
1.37
Step-by-step explanation:
1
Solve for x. Round to the nearest tenth of a degree, if necessary.
K
J
17
28
21-0
Submit Answer
Answer: 0
Answer:
52.6°
Step-by-step explanation:
cos(theta)= adj/hyp
hyp=28
adj=17
Help plz..And No links!! I repeat No links!!
Answer:
Step-by-step explanation:
36/16=90/r(since they are similar use this ratio)
do cross multiplication
16*90=36*r
1440=36r
1440/36=r
40=r
Answer:
[tex] \frac{36}{16} = \frac{90}{x} \\ x = 40 \: mm[/tex]
Evan wants to make a kneeling pad cushion for when he gardens for long periods of time. It will have the dimensions shown. How much fabric should he buy to cover the cushion?
Question
Even wants to make a kneeling pad cushion for when he gardens for long periods of time. How much fabric should he buy to cover the cushion?
Answer:
Surface area, 440 in 3
Step-by-step explanation:
I just did this question on my assignment on Edge 2021
Step-by-step explanation:
surface area, 440 in.2
pls help im so bad at math
Angle E and D are supplementary and need to equal 170 when added together.
Angle D = 180-35 = 145
Angle D is split into two with part of it being 44
The missing angle is 145-44 = 101 degrees
The answer is 101
Donna buys a roast that weighs 5.6 pounds and costs $2.25 a pound. Find the amount she pays.
Answer:
Donna will have to pay $12.60 for the roast
Step-by-step explanation:
I found this by doing 5.6 × 2.25 and that equals 12.6
pls mark me brainliest
PLEASE HELP ID APPRECIATE IT
Answer:
94281 km +- 1 km
572.2 km +- 0.1 km
f the relationship between the independent and dependent variables is discovered to be false after another (third) variable is considered, that relationship between the independent and dependent variables is called
Answer:
Spurious relationship
Step-by-step explanation:
A spurious relationship is a relationship between a dependent and independent variable that seems to be causal (have a cause and effect relationship) but is actually not, which is made evident by a third factor or variable which was not initially apparent at the point of comparison or examination of the dependent or independent variables
5) In the figure, triangle ABC is a right triangle at B. If CD = 15, find BC to the nearest tenth.
Answer:
BC ≈ 4.0
Step-by-step explanation:
∠ DCA = 180° - 70° = 110° ( adjacent angles )
∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle
∠ DAC = 180° - 140° = 40°
Using the Sine rule in Δ ACD to find common side AC
[tex]\frac{AC}{sin30}[/tex] = [tex]\frac{15}{sin40}[/tex] ( cross- multiply )
AC × sin40° = 15 × sin30° ( divide both sides by sin40° )
AC = [tex]\frac{15sin30}{sin40}[/tex] ≈ 11.668
Using the cosine ratio in right triangle ABC
cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{11.668}[/tex] ( multiply both sides by 11.668 )
11.668 × cos70° = BC , then
BC ≈ 4.0 ( to the nearest tenth )
In the diagram below of triangle OPQ, R is the midpoint of OQ and S is
the midpoint of PQ. If RS = 18 – 4x, and OP = -9 + 7x, what is the
measure of OP?
R
S
O
Answer:
Measurement of OP = 12
Step-by-step explanation:
Given:
R is mid point of OQ
S is mid point of PQ
RS = 18 – 4x
OP = -9 + 7x
Find:
Measurement of OP
Computation:
R is mid point of OQ and S is mid point of PQ;
By using mid point theorem
[1/2][OP] = RS
So,
[1/2][-9 + 7x] = [18 - 4x]
[-9 + 7x] = 2[18 - 4x]
-9 + 7x = 36 - 8x
7x + 8x = 36 + 9
15x = 45
x = 45 / 15
x = 3
So,
OP = -9 + 7x
OP = -9 + 7(3)
Measurement of OP = 12
A survey showed that 56% of car owners prefer four-door cars, 31% prefer two-door cars, and 13% have no preference. You ask 300 people. How many do you think will prefer four-door cars?
Answer:
168
Step-by-step explanation:
number that prefer four-door cars = percentage of car owners that prefer four-door cars x total number of people surveyed
56% x 300
0.56 x 300 = 168
A sphere has the radius of 5 meters. Find the volume . Use 3.14 for pi
The first thing we need is the formula. SO what's the formula? the formula for Volume of all geometry object is Base * height, but because this is a sphere. The formula is actually 4/3πr^3! Remember, we also need units. so lets start solving. The radius is 5 meters so . 4/3π*5m^3. Therefore we have about 523.6meters^3. Hope you like my question
Answer = 523.6meters^3
The volume of the given sphere with radius 5 meters is given by 523.33 m³.
What is Volume?Any three-dimensional solid's volume is the area it takes up. The shapes of these solids include cubes, cuboids, cones, cylinders, and spheres. Forms come in a wide range of volumes. We have looked at a variety of three-dimensional solids and shapes, including cubes, cuboids, cylinders, cones, and more.
As per the given data:
Radius of the sphere = 5 meters
Value of π as given in the question = 3.14
{always use the same value of π as given in the question}
For finding the volume of a sphere with a given radius:
[tex]V = \frac43 \pi r^3[/tex] {where r is the radius}
[tex]V = \frac43 \times 3.14 \times 5^3[/tex]
V = 523.33 m³
Hence, The volume of the given sphere with radius 5 meters is given by 523.33 m³.
Learn more about Volume here:
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There are 7 buses, and each of these buses is taking 37 people to a game. Another bus is taking 8 people. How many people are these buses taking to the game?
Answer:
267
Step-by-step explanation:
First, take 37 and multiply it by 7, which gives you 259. Next, add 8 to get your answer, 267.
how do i find the unit rate?
Simplify this expression.
(2+3)65-7
Answer:
Make me Brainliest
Step-by-step explanation:
=5*65-7
=325-7
=318
Which of the following best describes the situation below?
The number of miles a car can run depends on the gallons of gasoline in the
tank.
Answer:
Step-by-step explanation:
HELP: What is the surface area?
Answer:
Step-by-step explanation:
surface area=(a+b+c)*h
=(5+5+6)*5
=16*5
=80 cm^2
Mr. Kelly pays $12,564 a year for rent. His rent is a constant amount each month.
Which equation represents the amount he pays per month if m = months and
c = total rent paid for the year?
Answer:
c=12,564
m=1,047
Step-by-step explanation:
HELLPPPP!!!!!!
A new company selling sports equipment sold 2,835 helmets in their second year of operation. This is 225% of the number of helmets they sold in their first year.
How many helmets did the company sell in their first year?
Answer:
1,260 helmets
Step-by-step explanation:
100/225 × 2,835 = 1,260
what is
√117^2
Please help schools almost over and i need major help
Answer:
117
Step-by-step explanation:
Step-by-step explanation:
please mark me as brainlest
Step-by-step explanation:
please mark me as brainlest
Which angles are supplementary to∠4? Select all that apply.
9514 1404 393
Answer:
B, D, E
Step-by-step explanation:
All of the acute angles are congruent to each other. All of the obtuse angles are supplementary to them and are also congruent to each other. Angles 2, 3, 6, 7 are supplementary to angle 4. The ones on the list of choices are ...
∠2, ∠6, ∠7
1. The angle θ lies in Quadrant I.
sinθ=2/5
What is cosθ?
√−21/5
−2/5
√21/5
2/5
Answer:
2/5.......................
Just help me please don’t ignore me
Answer:
See https://brainly.com/question/23882263 for A and B parts of the first questiond)
[tex]HF = \sqrt{EH^2+EF^2} = \sqrt{2^2+3^2} = \sqrt{13}[/tex]#2
[tex]d = \sqrt{2^2+5^2} = \sqrt{4+25} = \sqrt{29}[/tex]#3
Diagonals are perpendicular. Side length of the rhombus:
[tex]a = \sqrt{(8/2)^2+(6/2)^2} = \sqrt{4^2+3^2} = \sqrt{25} = 5[/tex]Perimeter:
P = 4a = 4(5) = 20please solve and find the value of x.
Answer:
28
Step-by-step explanation:
Diagonals of a rectangle are congruent and bisects each other. So, using this property and By exterior angle theorem:
2x° = 56°
2x = 56
x = 56/2
x = 28
Answer: x=28
Step-by-step explanation:
A line has to be 180 degrees
You have 56, so 180-55=124 degrees
Angles are parallel because of the two double curve line.
Now you have that one triangle with the angle of 124degrees and x degrees and the third angle is unknown.
You know that a triangle is 180 degrees
So 180-124=56 degrees
So the unknown angle and the x angle together have to equal 56 degrees.
Since both angles are the same all you do is 56/2.
Now x= 28degrees
What is the circumference of the circle below? (Round your answer to the
nearest tenth.)
11 cm
A. 34.6 cm
B. 17.3 cm
C. 69.1 cm
D. 138.2 cm
HELPPP
Answer:
C. 69.1
Step-by-step explanation:
Circumference formual = 2pi r
2 × 3.14 × 11
69.1cm
The circumference of the circle is 69.1 cm.
What is circumference?The circumference of a circle refers to the measure of its boundary. If we open a circle and measure the boundary just like we measure a straight line.
Given that a circle with radius 11 cm, we need to find the circumference of the circle,
Circumference = π × 2 × radius
= 3.14 × 2 × 11
= 69.1 cm
Hence, the circumference of the circle is 69.1 cm.
Learn more about circumference, click;
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What is Median?
I'm not going to be online for 3 weeks. No need to worry about me, okay :) <3 <3
Answer:
See below
Step-by-step explanation:
The median is the middlemost term in a numerically ordered data set.
For example, if I had for my data set {2,2,3,5,6,7,8} then 5 would be the median because it's the middlemost term.