Answer:
[tex]sin(A+B) = \frac{1431}{1769}[/tex]
Step-by-step explanation:
sin(A+B) = sinA cosB + cosA sinB ------(1)
[tex]given : cos A = \frac{20}{29}, \ sinB = \frac{60}{61}[/tex]
First we will find sinA and cosB
[tex]We \ know \ sin^2 A + cos^2A = 1\\\\sin^2 A = 1 - cos^2A = 1 - (\frac{20}{29})^{2} = \frac{841-440}{841} = \frac{441}{841}\\\\sinA =\frac{21}{29}[/tex]
[tex]sin^2B +cos^2B = 1\\\\cos^2B = 1 - sin^2B = 1 - (\frac{60}{61})^2 = \frac{3721-3600}{3721} = \frac{121}{3721}\\\\cosB = \frac{11}{61}[/tex]
Substitute all values in (1)
[tex]sin(A+B) =sinAcosB + cosAsinB[/tex]
[tex]=(\frac{21}{29} \times \frac{11}{61} )+ (\frac{20}{29}\times \frac{60}{61})\\\\=\frac{231}{1769} + \frac{1200}{1769}\\\\= \frac{1431}{1769}[/tex]
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
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:
brainly.com/question/13338592
#SPJ3
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:
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
solve the equation for all real solutions
4q^2-4q+1=0
Answer:
q= 1/2 or 0.5 depending
Step-by-step explanation:
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) = 20I really need some help!
Answer:
84 in.
Step-by-step explanation:
6*6=36/2=18
6*11=66
18+66=84
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:
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
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
Find the fraction which is exactly halfway between 1/12 and 1/3
Answer:
2/12
Step-by-step explanation:
fraction 1 = 1/3
fraction 2 = 1/12
Half-way of both fraction = (1/3 + 1/12)/2 = 15/72 = 5/24
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
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
After a shipwreck, Florence is stranded on a desert island. She needs to build a shelter, so she makes an axe using materials from the wreckage and starts cutting down trees.
There is a proportional relationship between the number of days Florence is stranded on the island, x, and the total number of trees she cuts down, y.
Answer:
6x
Step-by-step explanation:
each day she cuts 6 trees so the equation would be y=6x
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
help please its math i really need help
Answer:
m<D = 26
Step-by-step explanation:
Exterior angles thm:
83 + 6x - 4 = 21x + 4
6x + 79 = 21x + 4
6x - 21x = 4 - 79
-15x = -75
x = 5
m<D:
6x - 4
6(5) - 4
30 - 4
26
how do i find the unit rate?
Three vertices of a rectangle are shown on the grid. I NEED HELP PLEASE
Answer:
(6,7)
Step-by-step explanation:
The great thing about rectangles is that they are super simple. For the top right point, it is going to share an x-value with the bottom right vertex and and y-value with the top left. This maintains the parallel lines that define a rectangle. So just find the x coordinate of the bottom right vertex (6) and the y coordinate of the top left (7) and put them together: (6,7)
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.
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
Look at picture included helpp aghhh, lots of points will be given!!!
Answer:
a) 677,040 b) 17,160
Step-by-step explanation:
a) this is a combinations problem as it deals with selection, rather than order. you can use a calculator to solve this:
there are 65 objects (colors) taken 4 at a time
(see photo)
there are 677,040 possible ways to arrange the boxes.
b) unlike question a, this is a permutation. the order matters.
since Ali can only visit the cities once, you must multiply by decreasing values starting from 13 down to 10 (4 "slots" for the 4 days)
13*12*11*10 = 17,160 possiblities
Use distributive property to rewrite 6m(3n+1) in its equivalent form
Step-by-step explanation:
Use distributive property to rewrite 6m(3n+1) in its equivalent form
Answer:
Sate why the measure of angle d is 120 degrees
Simplify this expression.
(2+3)65-7
Answer:
Make me Brainliest
Step-by-step explanation:
=5*65-7
=325-7
=318
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]
How do you solve this?
Answer:
C
Step-by-step explanation:
C is the right one
Help me please it’s not a or b btw
Answer:
from what I'm seeing the answer is C
PLEASE HELP ID APPRECIATE IT
Answer:
94281 km +- 1 km
572.2 km +- 0.1 km
pls help me , i need this
What is the volume. Round to the nearest hundredth if necessary.
Answer: 360
Step-by-step explanation:
Answer:
120 cubic feet