Answer:
-31/17
Step-by-step explanation:
csc²α-cot²α=1
cot²α=csc²α-1=(25/7)²-1=(625-49)/49=576/49
α is in 2nd quadrant so cotα is negative.
cot α=-√(576/49)=-24/7
tan α=-7/24
cos β=√2/2
sec β=2/√2=√2
sec²β-tan ²β=1
tan ²β=sec²β-1
tan²β=(√2)²-1=2-1=1
β is in 1st quadrant ,so tan β is positive.
tan β=1
[tex]tan (\alpha -\beta )=\frac{tan \alpha -tan \beta }{1+tan \alpha tan \beta } \\=\frac{\frac{-7}{24} -1}{1+(\frac{-7}{24}) (1)} \\=\frac{-7-24}{24-7} \\=\frac{-31}{17}[/tex]
Help find the value of x pls
Answer:
x=61°
Step-by-step explanation:
We can see that angle 2x-6 has a corresponding angle above it, which is congruent. That angle is supplementary with angle x+3, meaning that their sum is 180°. We can tell because they form a straight line/straight angle.
So,
(2x-6)+(x+3)=180
2x-6+x+3=180
3x-3=180
3x=183
x=61
what is √7? Select all that apply.
a. Natural
b. Whole
c. Integer
Which two-dimensional shape could be created by
a plane slicing horizontally through this pyramid?
Answer:
It’s a triangle.
If the triangular pyramid is sliced in any direction then the two-dimensional shape will be triangular. Then the correct option is B.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The triangular pyramid is shown.
If a plane slice horizontally through this pyramid then the two-dimensional shape could be created will be
If the triangular pyramid is sliced in any direction. The obtain two-dimensional shape will be triangular.
More about the geometry link is given below.
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Find the y-intercept of the parabola y = x2 + 6x.
Can somebody help?
Given:
The equation of the parabola is:
[tex]y=x^2+6x[/tex]
To find:
The y-intercept of the parabola.
Solution:
We have,
[tex]y=x^2+6x[/tex]
Putting [tex]x=0[/tex] in the given equation, we get
[tex]y=(0)^2+6(0)[/tex]
[tex]y=0+0[/tex]
[tex]y=0[/tex]
Therefore, the y-intercept of the parabola is 0. It means the y-intercept of the given parabola is at point (0,0).
arithmetic sequences
Answer:
For 1, you'd have 14, 7, 0, -7
Step-by-step explanation:
Remember arithmetic sequences are adding the same thing (the difference) over and over and over. So in this case, you have the following:
1st blank: 14 + d
2nd blank: 1st blank + d OR (14 + d) + d = 14 + 2d
the -7 then is the 2nd blank + x OR [(14 + d) + d] + d
So you are adding 3d to the 14 to get to the -7. Set that up as the equation:
14 + 3d = -7.
When you solve for d, you get -7. That's what you'll add to 14 to get the first number, then add it again to get the second, etc.
The coefficient in front of d will always be one more than the number of spaces since you are adding the difference to find each blank IN ADDITION TO the last number in the sequence. So #4 would be setup like this:
2 + 5d = 57
Good luck!
What is the value of x if 4x - 2 < 26?
Answer:
4x<28
x<7
x;(-infinite,7)
Select all that apply 40% is what percent of 25
Answer:
10
Step-by-step explanation:
:)
Answer:
the answer is 10 :) I hope you do well in the rest of your test!
I NEED HELP PLEASE
Triangle ABC is similar to triangle DEF. The length of AC¯¯¯¯¯ is 12 cm. The length of BC¯¯¯¯¯ is 18 cm. The length of DF¯¯¯¯¯ is 10 cm.
What is the length of EF¯¯¯¯¯?
Enter your answer in the box.
Answer:If the triangles are similar, the ratio of corresponding sides will be equal.
AC / DF = BC / EF
Substitute their values,
12 / 10 = 18 / EF
EF = 18/12 * 10
EF = 3/2 * 10
EF = 30/2
EF = 15 cm
In short, Your Answer would be 15 cm
Hope this helps!
Please help will mark brainliest
Answer:
c
Step-by-step explanation:
Aaron plans to buy new flooring for his office. His office floor is a rectangle that is 7.9 meters by 6.2 meters
What is the coordinate points of (1/2,√3/2) when reflected to quadrant 3?
Answer:
(-√3/2., -1/2)
Step-by-step explanation:
This is a reflection in the line y = -x.
So x = 1/2 becomes y = -1/2
and y = √3/2 becomes x = -√3/2.
help!!!!! ill give brainly
Answer:
radius = 14mm
Step-by-step explanation:
diameter/2 = r
28/2 = 14
Answer:
14 mm
Step-by-step explanation:
The image shows you that the length of the circle, or the diameter, is 28 mm. The radius is 1/2 of the diameter, so 28/2=14 mm.
can someone please help me with this ?? im really confused but i need to pass this test!
In the circle above, the measure of angle DHG can be represented by 7x - 7, and the measure of arc DG can be represented by 9x + 21. The measure of arc DG is ___ degrees.
Answer:
[tex]84^{\circ}[/tex]
Step-by-step explanation:
The measure of an inscribed angle is exactly half the measure of the arc it forms. Thus, we have the following equation:
[tex]2(7x-7)=9x+21[/tex]
Solving, we get:
[tex]2(7x-7)=9x+21,\\14x-14=9x+21,\\5x=35,\\x=7[/tex]
Plugging in [tex]x=7[/tex] into [tex]9x+21[/tex]:
[tex]\widehat{DG}=9(7)+21,\\\widehat{DG}=63+21,\\\widehat{DG}=\boxed{84^{\circ}}[/tex]
Answer:
-31
Step-by-step explanation:
help please!????????????????????????????
Answer:
c
Step-by-step explanation:
im 99% sure this is the answer
Which expression is equivalent to ((32)4)3?
Answer:
D
Step-by-step explanation:
3*3 =9
9*9*9*9= 6561
6561*6561*6561*6561=282429536481
Therefore is equal to 81^6 because 81*81*81*81*81*81= 282429536481
Write an
expression to represent the following:
The product of six and a number x.
Answer: 6(x) or 6 x 2(x)
Step-by-step explanation:
The product of 6 and a number x is equal to 6x.
70 brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11111
Answer:
nice job man
Step-by-step explanation:
keep it up man
Use the relationships between the angles to find the value of . 75° 40 X 15 degrees
Answer:
x = 65
Step-by-step explanation:
All angles in the triangle equal 180
Set up your formula as
180 = x+75+40
180-75-40=x
65=x
For spirit week, a high school club is making wristbands from paper. The wrist bands are designed to have a height of 1.8 centimeters and a maximum diameter of 7.5 centimeters. How many Square centimeters of paper are required to make each wristband?
Answer:
Step-by-step explanation:
33
43.0 square centimeters of paper are required to make each wristband.
What is area of curved surface?The curved surface of a cylinder is equal to a rectangle whose length is
2[tex]\pi[/tex]r and whose width is h.
The area of the curved surface = [tex]\pi dh[/tex].
Given
Height of wrist band = 1.8 cm
Diameter of wrist band =7.5 cm
Wrist band is a cylinder
Area of curved surface
S = [tex]\pi dh[/tex]
= 3.14 × 7.5 × 1.8
= 42.9552 ≅ 43.0 [tex]cm^{2}[/tex]
Hence, 43.0 square centimeters of paper are required to make each wristband.
Learn more about area of curved surface here
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factor - 3y(2y + 3) - 5(2y + 3)
Answer:
-(2y+3)×(3y+5)
Step-by-step explanation:
- 3y(2y + 3) - 5(2y + 3)
Factor out - (2y+3)
-(2y+3)×(3y+5)
A rectangle has a length of 3x^2y^3 inches and width of 4x^2y^3 inches . which expression represents the perimeter in inches of rectangle?
Answer:
44x²y³
Step-by-step explanation:
don't see options for answers but the perimeter would be:
2(3x²y³) + 2(4x²·2y³)
= 6x²·2y³ + 8x²·4y³
= 12x²y³ + 32x²y³
= 44x²y³
En una fábrica se empaquetan paletas en cajas, en cada caja caben
3,678 paletas, si se empacaron 56 cajas. ¿Cuántas paletas se
empacaron en total?
Answer:
205,968
Step-by-step explanation:
Si hay 3678 palets por caja, entonces multiplicamos 3678 por 56. 3678 por 56= 205.968. Por cierto, eres la primera persona a la que ayudé en español.
What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of
10ft, and a length of 16ft?
Answer:
2,720 ft³
Step-by-step explanation:
17x10x16 = 2,720
Help please!!
Define the following sequence recursively
11,33,55,77
Answer:
Step-by-step explanation:
Recursive sequences generally look like this:
a1 = something
an= ahhhhhh
The 1st term in this sequence is 11.
So we have
a1=11
And now we see that each term is adding by 22.
We have,
a1=11
[tex]a_{n} =a_{n-1}+22[/tex]
i need help. this is due in less than 10 min and i have no clue how to solve. any tips appreciated
Answers:
a) x = 9b) arc JK = 68c) arc MJ = 112d) arc LMK = 248================================
Explanation:
Arcs JK and KL form a semicircle, so they add to 180 degrees
(arcJK) + (arcKL) = 180
(5x+23) + (17x-41) = 180
22x-18 = 180
22x = 180+18
22x = 198
x = 198/22
x = 9
Then you'll use this x value to find arc JK and arc KL
arc JK = 5x+23 = 5*9+23 = 68
arc KL = 17x - 41 = 17*9-41 = 112
Since central angles MNJ and KNL are vertical angles, this means minor arcs MJ and KL are congruent arcs. So arc MJ is also 112 degrees
Arc LMK is basically nearly everything of the full circle, but we exclude out the portion from L to K (the shorter distance)
arc LMK = (full circle) - (measure of minor arc LK)
arc LMK = 360 - 112
arc LMK = 248
Plz help will mark brainliest
Answer:
20
Step-by-step explanation:
First step is finding an angle in the rightmost triangle (angle K)
Using TOA we have
Tan(x)=4/8
x=26.565
which means that 90-26.565= 63.4349 will give us angle K in regards to the left triangle
Using this we can solve for JM
Tan(63.4349)=x/8
8tan(63.4349=x
x=16
So if JM = 16
and LM=4
take their sum to find JL
16+4=20
calculate the area of his garden from the picture below pls help
Answer:
Hello! answer: 105.5
Hope that helps!
75 + 18 + 12.5 = 105.5
If m <1 = 115° and the m < 8 = 105°, what is the measure of angle 5?
Answer:
measure of angle 5 = 75 degrees
Step-by-step explanation:
given measure of angle 8 = 105 degrees,
angle 8 and angle 5 are in a linear pair so,
(the sum of angles in a linear pair is 180 degrees)
therefore, angle 8 + angle 5 = 180 degrees
therefore,. 105 + angle 5 = 180 degrees
angle 5 = 180 - 105
angle 5 = 75 degrees
Let a be a nonzero rational number. Is rational or irrational? Prove your answer by picking a value for a and simplifying
the expression. Then explain your reasoning.
Answer:
there is no expression to answer this based off of
Step-by-step explanation:
we can't answer an incomplete question sorry try again and maybe then
The purpose of life insurance is to protect your car in case of an accident. O True. False.
Answer:
false
Step-by-step explanation:
The statement given is false information.
What is insurance?Insurance that pays out a sum of money either on the death of the insured person or after a set period.
Given is a statement about life insurance,
The main purpose of a life insurance, is to provide the financial help to the survivors family not to secure against an accident.
Hence, The given statement is false.
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