Answer:
tan (θ+x)= -33/56
sin (θ+x)=33/65
Step-by-step explanation:
cosθ= -4/5 , sin x = -12/13
cosθ= -4/5; θ is in the third quadrant=> sinθ=-√(1-cos² θ)
sinθ=- √(1-16/25)=- √(9/25)=-3/5
sinx= -12/13; x is in the fourth quadrant=> cosx=+√(1-sin²x)
cosx=√(1-144/169)= √(25/169)=5/13
tgθ= sinθ/cosθ=(-3/5)/(-4/5)=3/4
tgx= sinx/cosx=(-12/13)/(5/13)= -12/5
tan (θ+x)=(tgθ+tgx)/(1-tgθ*tgx)
tan (θ+x)=(3/4-12/5)/(1+3/4*12/5)=(-33/20)/56/20)= -33/56
sin (θ+x)=sinθcosx+coxθsinx=-3/5 *5/13 +-4/5 * (-12/13)=-15/65+48/65=33/65
Another easy way for points!!! FASTEST ANSWER=BRAINLIEST!!!
What is: 1x2x3x4x5x6x7x8x9x10?
the answer is 3628800
The solution to the equation "1x2x3x4x5x6x7x8x9x10" is 362,880.
How to find the multiplication?This is a factorial, which is the product of all the positive integers less than or equal to a given number. In this case, the factorial is 10!, which is the product of all the positive integers less than or equal to 10.
To calculate 10!, use the following formula:
n! = n × (n - 1) × (n - 2) × ... × (3) × (2) × (1)
where n is the number to be taking the factorial of.
In this case, n = 10, so:
10! = 10 × (9) × (8) × (7) × (6) × (5) × (4) × (3) × (2) × (1) = 362,880
Therefore, 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 = 362,880.
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Which of the angles below are vertical? *
Answer:
Angle 1 and Angle 3
Step-by-step explanation:
When two lines intersect, they form two pairs of vertical angles. These angles are equal in measure, and they are directly opposite each other in the intersection. For instance, in this case, that would be angles 1 and 3, or angles 4 and 2. Since 4 and 2 aren't an option, the correct answer is angle 1 and angle 3. Hope this helps!
The angle 1 and angle 3 are vertical angles
What are vertically opposite angles?Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. So are ∠2 and ∠4 . A pair of vertically opposite angles are always equal to each other. Also, a vertical angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees.
According to question
angle 1 = angle 3 ( vertically opposite angle )
angle 2 = angle 4 ( vertically opposite angle )
Hence, angle 1 and angle 3 are vertically opposite angle.
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Please help y’all lots of point
Answer:
[tex]\mathrm{Option \: C.}[/tex]
[tex]x \ne-3, \:4[/tex]
Step-by-step explanation:
[tex]F\left(x\right)=\frac{\left(x-4\right)\left(x+2\right)}{\left(x+3\right)\left(x-4\right)}[/tex]
[tex]\left(x+3\right)\left(x-4\right)=0[/tex]
[tex]x+3=0\\x+3-3=0-3\\x=-3[/tex]
[tex]x-4=0\\x-4+4=0+4\\x=4[/tex]
which inequality is represented by this graph ?
Answer:
D
Step-by-step explanation:
The point is on 4 so it cannot be A or B, and it is a closed circle not an open circle so it cannot be C.
Answer:
x≥4
Step-by-step explanation:
There is a closed circle at 4 which means there is an equal to sign and the lines goes to the right which means greater than
x≥4
) Which expression represents the change in the
ship's location?
15
14-
2.4
13-+
12-1
11-
•) What is 2-4?
10-+
9
2-4=
8
8-
7
6
•) Which expression represents the change in the
ship's location?
5
4
3 +
2+(-4)
2 +4
2-(-4)
2.4
Answer:
5
Step-by-step explanation:
5677777273882828282929929282828828828×4=5
answer:
2*4
explanation:
2*4=8.000000000000000000000000
There are 5 bacteria in a petri dish at the start of an
experiment. This type of bacteria doubles every 20
minutes.
Find the number of bacteria after 4 hours.
40
10,240
20,480
40,960
Answer:
20,480
Step-by-step explanation:
5x2^12
Answer:
20480
Step-by-step explanation:
got it right on edge
Evaluate the expression for x = -3.
x + 4x + 3
-18
B -16
C 0
Answer:
[tex] - 12[/tex]
Step-by-step explanation:
[tex]x + 4x + 3 \: \: \: \: if \: \: \: \: x = - 3 \\ now \\ ( - 3) + 4( - 3) + 3 \\ - 3 - 12 + 3 = - 12[/tex]
he;p me please i am losing my points please anyone can you help at least one of you please please please! :(
[tex]answers \\ 1. \: \: c \\ 2. \: a \\ 3. \: d \\ 4. \: b \\ explantion \\ 1. \: \: r \: rotated \: 270.the \: r \: lies \: on \: {3}^{rd} \\ quadrant. \\ 2. \: \: r \: reflected \: to \: x. \: the \: r \: mirroring \\ to \: {1}^{st} quadrant. \\ 3. \: r \: moves \: 12 \: units \: upward. \\ 4. \: r \: scaled \: \frac{1}{5} . \: therefore \: the \: sides \: \\ scaled \: \frac{1}{5} also. \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment..[/tex]
What is the value of (5 + 2)^2 - 9x3 + 2^3 ? Show all of your
work for full credit.
Answer:
30
Step-by-step explanation:
(5+2)=7
9x3=27
2^3=8
7^2 - 27 + 8 (evaluate)
7^2=49
49 - 27 + 8 (calculate)
=30
Sarah is making lemonade where she adds 2 parts lemon juice to 3 parts water.
a. Write the ratio of lemon juice to water as a fraction and in ratio form.
b. Sarah has 1 1/2 cups of lemon juice, write and solve a proportion to find out how much water she needs.
c. Write and solve a proportion to find out how much lemon juice she should add to 9 cups of water.
d. What percent of the lemonade is lemon juice? What percent is water?
e. She makes the lemonade, but her friend complains that it is too weak. Write a ratio of lemon juice to water that may fix the problem
f. Does Sarah need more lemon juice than water to make it stronger?
Answer:
a. 2/5 and 2:3
b.
c. 6
d. 40% and 60%
Step-by-step explanation:
a) The ratio of lemon juice to water as a fraction can be expressed as: 2/3.
b) The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice, is: 2.25 cups
c) The amount of lemon juice Sarah should add to 9 cups of water is: 6 Cups
d) 40% of the lemonade is lemon juice, and 60% is water.
e) She should increase the ratio to 3:2
f) Yes, Sarah would need more lemon juice than water to make the lemonade stronger.
How to solve Ratio Problems?a. The ratio of lemon juice to water as a fraction can be expressed as: 2/3.
b. The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice, is solved as:
1¹/₂ cups of lemon / water = 2/3
³/₂ cups of lemon / water = 2/3
Cross multiply to get:
water = 9/4
water = 2.25 cups
c. The amount of lemon juice Sarah should add to 9 cups of water is as follows:
lemon juice / 9 = 2/3
Cross multiply to get:
lemon juice = 18 / 3
lemon juice = 6 cups
d. The percentage of lemon juice and water in the lemonade if the total volume is 5 cups is:
Lemon juice: (2/5) * 100% = 40%
Water: (3/5) * 100% = 60%
e. What Sarah can do is to increase the ratio of lemon juice to water. One possible ratio could be 3 parts lemon juice to 2 parts water, or 3:2.
f. Yes, Sarah would need more lemon juice than water to make the lemonade stronger.
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-2x + 4y = -2 and 6x -y = 28
Answer:
(5,2)
Step-by-step explanation:
I hope that it helped you and that I solved it correctly
plz help ASAP will give brainliest!!!
Answer:
Step-by-step explanation:
5.25x +6 =74.25
5.25x = 74.25 -6
5.25x =68.25
x = 68.25÷5.25
x = 13
Answer:
x=13
Step-by-step explanation:
1) Subtract 6 from both sides.
2) Divide by 5.25 on both sides to get x on its own.
[tex]5.25x+6=74.25\\5.25x+6-6=74.25-6\\5.25x=68.25\\\frac{5.25x}{5.25} = \frac{68.25}{5.25} \\x=13[/tex]
someone help me with this !!!
Answer:
150°
Step-by-step explanation:
to find the individual angle of a REGULAR dodecagon (which means that all sides are equal), you'd use the equation I(individual angle)= (n-2)×180/n
N is number of sides. The number of sides on a dodecagon is 12. So, substitute N for 12
I= (12-2)×180/12 which simplifies to 10×180/12
10×180= 1800
1800/12 = 150
so, an individual interior angle of a dodecagon is 150°
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
(40/3)*pi
Step-by-step explanation:
lets first find the area of the little circle
A=pi*r^2
A=pi*3^2
A=9pi
Now, lets find the area of the big circle
A=pi*r^2
A=pi*(3+4)^2
A=pi*7^2
A=49pi
now lets subtract the area of the little circle from the area of the big circle
49pi-9pi=40pi, now we found the area of the "bagel)
lets find what portion of the bagel is the shaded region
120/360=1/3
now lets multiply the bagel area by the fraction
40pi*(1/3)=
(40/3)*pi or (40*pi)/3
Area of the shaded regions is equal to 7π/3
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: radius of the smaller circle= 3 and larger circle =4 cm
Now A = (θ/360°) × πr2
θ is the sector angle subtended by the arcs at the center (in degrees), r is the radius of the circle. If the subtended angle θ is in radians, the area is given by, A = 1/2 × r² × θ.
Thus we have Area ADBC= 1/2 × 16×2π/3 -1/2×9×2π/3
=16π/3 -3π
=7π/3
Hence, Area of the shaded regions is equal to 7π/3
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Which expression is equivalent to 2 (a + 3) when a = 3? 2 (3) 5 (3) 2 (3) + 3
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex]2 (a + 3)[/tex]
[tex]a=3[/tex]
[tex]2(3+3)[/tex]
[tex]2(6)[/tex]
[tex]=12[/tex]
Answer:
2 (3) + 6
Step-by-step explanation:
2( a + 3) if (a = 3)
then now is 2( 3 + 3 )
3+3 = 6........6 times 2 = 12
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
❌: 2(3) = 2 x 3 = 6 ←← not 12
❌: 5(3) = 5 x 3 = 15 ←← not 12
❌: 2(3)+3 = 2 x 3 = 6.... 6 + 3 = 9 ←← not 12
✅: 2(3)+6 = 2 x 3 = 6.... 6 + 6 = 12 ←← its 12
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
have a good day!
please mark me brainlest..i need it ❤ இ௰இ ❤
Which statements are true?
Select each correct answer.
All squares are parallelograms.
No trapezoids are parallelograms.
All rectangles are squares.
All rectangles are quadrilaterals.
Answer:
All squares are parallelograms, and all rectangles are quadrilaterals are both true
Step-by-step explanation:
Answer:
The answer is a and d
a) All squares are parallelograms
d) All rectangles are quadrilaterals
hope i helped!
PLEASE HELP! ITS DUE TODAY!
Answer:
D. Median
Step-by-step explanation:
I say this because is the average of the numbers
A line passes through (0, -1.8) and has a slope of 7. Write an
equation of the line.
1. y=7x-12.6 2. y=7x+12.6 3. y=7x-1.8 4. y=x+-1.8
Answer:
equation of a line= y-y¹=m(x-x¹)
y--1.8=7(x-0)
y+1.8=7x-0
y+1.8=7x
y=7x+1.8
Which equation describes the locus of points 5 units from points (3, -4)?
A) (x+3)^2 + (y-4)^2=5
B) (x-3)^2 + (y+4)^2=5
C) (x-3)^2 + (y+4)^2=25
D) (x+3)^2 + (y-4)^2=25
***YOU DON'T HAVE TO EXPLAIN***
Answer:
I think the D number is correct(squaring on both side)
One more than six times that number is 37. Select the solution and graph that represents the original number. x = 4 Point 4 graphed on number line. x = 6 Point 6 graphed on number line. x = 7 Point 7 graphed on number line. x = 9 Point 9 graphed on number line.
Answer:
x = 6
Step-by-step explanation:
to solve this you can just subtract 1 from 37 which is 36 and divide it by 6 which is 6.
Javier constructed a square by drawing two congruent triangles. Which shows one of the triangles he could have used? A triangle with angles 45 degrees, 45 degrees, and 90 degrees. 2 sides are congruent. A triangle with angles 55 degrees, 35 degrees, and 90 degrees. A triangle with angles 65 degrees, 65 degrees, and blank. A triangle with 3 angles of 60 degrees. All sides are congruent.
Answer:
The answer is A triangle with 45 degrees, 45 degrees, and 90 degrees
Step-by-step explanation:
A rectangular lot is 50 meters wide and 90 meters long. Give the length and the width of another rectangular lot that has the same perimeter but a larger area.
Answer:
Length = 80 metres and Width = 60 metres.
Step-by-step explanation:
Given
Length = 90m
Width = 50m
Required
Dimension of another rectangle with the same perimeter but larger area;
Perimeter of a rectangle is calculated as thus;
[tex]Perimeter = 2(Length + Width)[/tex]
Substitute: Length = 90m and Width = 50m
[tex]Perimeter = 2(90m+ 50m)[/tex]
[tex]Perimeter = 2(140m)[/tex]
[tex]Perimeter = 280m[/tex]
Area of a rectangle is calculated as thus;
[tex]Area = Length * Width[/tex]
Substitute: Length = 90m and Width = 50m
[tex]Area = 90m * 50m[/tex]
[tex]Area = 4500m^2[/tex]
So, the implication of this question is to get a rectangle whose perimeter is 280m and area is greater that 4500m²
Using trial by error method;
Assume length of a rectangle is 80m;
This means the width must be 60m
Calculating the perimeter
[tex]Perimeter = 2(80m+ 60m)[/tex]
[tex]Perimeter = 2(140m)[/tex]
[tex]Perimeter = 280m[/tex]
Calculating the area
[tex]Area = 80m * 60m[/tex]
[tex]Area = 4800m^2[/tex]
Since, the area of this rectangle is greater than the area of the previous rectangle. we can adopt this dimension.
Length = 80 metres and Width = 60 metres.
Note: There are other dimensions that have higher area and exact perimeter as the given rectangle in the question;
Can anybody tell me the answer to this question in the picture?
Answer:
Option 2
Step-by-step explanation:
Group 2 does have a greater median. And group 1 is less spread out
Suppose that f(5) = 1, f '(5) = 4, g(5) = −8, and g'(5) = 7. Find the following values.
The ratio of the lengths of corresponding parts in two similar solids is 4:1.
What is the ratio of their surface areas?
A. 16:1
B. 8:1
C. 4:1
D 641
Answer:
the ratio is 16:1
Step-by-step explanation:
surface area is measured in square units, so you should square both numbers in the linear ratio to get the ratio for the surface area.
[tex]4^{2} : 1^{2} -->16:1[/tex]
Answer:
A.16:1
Step-by-step explanation:
John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans to take the class for 12 weeks. If John pays for 12 weeks of guitar classes from his account, his account balance will be $.
Answer:
-47.45$
Step-by-step explanation:
B=132.55-15x
B=132.55-15*12
B=132.55-180
B=-47.45
how many different measurements are found in this diagram ¿
Find the medium of the following set of data. Round to the nearest 10th if necessary 26.1,8.4,11.4,44.1,32.3,46.41,18.5,20,9.3,19.6
Answer:
19.8
Step-by-step explanation:
You have to first put the numbers into ascending order:
8.4, 9.3, 11.4, 18.5, 19.6, 20, 26.1, 32.3, 44.1, 46.41.
Because there is an even amount of numbers, you end up with 19.6 and 20.
The in between of 19.6 and 20 is 19.8.
(You can work this out by adding the two numbers together and then dividing by two if you have to.)
HELP ME PLZ NOT A TEST !!!!!!!!!!!!!!!!! ITS A REVIEW AND I DONT GET IT I NEED TO KNOW THE STEPS AND THE AWNSER
Answer: See below
Step-by-step explanation:
1. For this problem, you see that it's 5². The only problem that displays 5² is A². Now, there is a ×3 after that. That means there is 3 of 5². If you are still not sure, you can solve the problem.
5²×3=25×3=75
A shows 75.
-----------------------------------------------------------------------------------------------------------------
2. You need to first distribute each factor and then combine like terms.
-14a+10b+20a-32b+2
6a-22b+2
B
-----------------------------------------------------------------------------------------------------------------
3. You need to first distribute each factor and then combine like terms.
-6n+30+18n-12
12n+18
D
A 10 ft long ladder has one end that leans against a wall and another that rests on the ground 6 feet from the wall. How high on the wall does the ladder rest?
Answer:
One end of the ladder rests at 8 feet on the wall.
Step-by-step explanation:
In the figure attached,
AC is a ladder 10 feet long leaning against the wall.
Distance of it's one end from the wall = 6 feet
Let the ladder rests on the wall at the height = h feet
By applying Pythagoras theorem in ΔABC,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
AC² = AB² + BC²
(10)² = h² + 6²
h² = 100 - 36
h = √64
h = 8 feet
Therefore, one end of the ladder rests at 8 feet on the wall.
