Answer:
Sec(θ) = 3
Step-by-step explanation:
First, we know that:
Sec(x) = 1/Cos(x)
Now we have an angle θ in the intersection between the line y = 3x and the x-axis.
Here we can think of this as a triangle rectangle, such that:
x is the adjacent cathetus to θ
y is the opposite cathetus to θ
y = 3*x is the hypotenuse.
Here we also need to remember the relation:
Cos(θ) = (adjacent cathetus)/(hypotenuse)
Then we will get:
Cos(θ) = x/(3*x) = 1/3
If we multiply both sides by 3, we get:
Cos(θ)*3 = (1/3)*3 = 1
Cos(θ)*3 = 1
Now we can divide both sides by Cos(θ)
[Cos(θ)*3]/Cos(θ) = 1/Cos(θ)
3 = 1/Cos(θ)
And 1/Cos(θ) = Sec(θ)
Then:
3 = Sec(θ)
The exact value of sec theta is 3.
SOMEONE HELP ASAP WHATS THE MISSING ANGLE
Answer:
130
Step-by-step explanation:
? is an exterior angle of a triangle
An exterior angle is equal to the sum of the two opposite interior angles ( 35 and 95 in this case )
That being said the missing angle = 95 + 35
95 + 35 = 130
Hence, the answer is 130
Answer:
130
Step-by-step explanation:
1. We have a triangle and all angles in a triangle sum up to 180, so do 35+95 and then subtract the difference from 180, and you get 50
2. Now we have a linear pair next to 50' on the outside, signifying a linear pair, meaning that both angles should sum up to 180, so 180-50= 130
Have a good and safe day whoever reads this :)
Rectangle ABCD is translated (x + 2 y - 3) and then rotated 180° about the origin. Complete the table to show the locations of A'. B', C', and D' after both transformations.
B
0
3
2
D
A-51) A' ?
B (-5,3) B 2
C (-1.3) C" ?
D--11)
D' ?
A(-2,-3), B' (0-3), C (0.1), D'(-2.1)
Answer:
A
Step-by-step explanation:
The transformation, the value of the table is B (-5,3) B 2.
We have given that,
Rectangle ABCD is translated (x + 2 y - 3) and then rotated 180° about the origin.
We have to complete the table to show the locations of A'. B', C', and D' after both transformations.
What are the transformations?
A transformation is a function f, usually with some geometrical that maps a set X to itself, and f: X → X.
Therefore after the transformation, the value of the table is
B (-5,3) B 2.
To learn more about the transformation visit:
https://brainly.com/question/4289712
#SPJ5
Rewrite using a single positive exponent 5^-8*5^5
Answer:
1/5^8 ⋅ 5^5
Step-by-step explanation:
Answer:
[tex]\frac{1}{5^{3} }[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
[tex]5^{-8}[/tex] × [tex]5^{5}[/tex]
= [tex]5^{(-8+5)}[/tex]
= [tex]5^{-3}[/tex]
= [tex]\frac{1}{5^{3} }[/tex]
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
10.19 cubic yards
Step-by-step explanation:
8*4=32
32 divided by 3.14= 10.19
Please helppppppppppppppppp
Answer:
Step-by-step explanation:
1)
a/c =b/d where a=27 c=30 b=x d=18
27/30 = x/18
27*18/30=x
16.2 = x
2)
a/c =b/d where a=2x-5 c=x+11 b=16 d=14
2x-5 / x + 11 = 16 / 14
14(2x-5) = 16(x+11)
28x - 70 = 16x + 176
12x = 246
x = 20.5
3)
6+15 / 7+x = 7 /6
6(6+15) = 7(7+x)
6*21 = 49 +7x
126 = 49 +7x
77 = 7x
11 = x
4)
3*[(x-6)+3]=[tex]6^{2}[/tex]
3(x-3) = 36
3x-9 = 36
3x = 45
x = 15
15° 13 8) X 35° Find the measure of the indicated 9)
ignore the stuff above
Answer:
The missing angle to this triangle is 55 degrees, x is 14.65, and the other missing length is 8.4.
Step-by-step explanation:
In a triangle, all of the angles sum up to 180 degrees. We are given it is a right triangle with another given angle of 35 degrees. 180 degrees - 90 degrees - 35 degress is 55 degrees. Now, we can use law of sines to find x. x / sin 90 degrees = 12 / sin 55 degrees. sin 90 degrees can be simplified to 1. x = 12 / sin 55 degrees. x = 14.65. By using the pythagorean theorem, we can find the last missing side, which is 8.4.
Dr. Maria Espinoza, a biologist, is carrying out research in the tropical rain forest of Brazil. We would expect Dr. Espinoza to be
Answer: SirBreadCrumbs5621 the person that answered is correct it’s C, I don’t know how to reply
Step-by-step explanation:
Jayda was buying a new pair of sneakers from an
online store. The original price was $96. The store was
having 35% off all sneakers. A 9% processing fee will
be applied to the cost of the sneakers, plus a shipping
fee of $4.99. How much will she pay for the sneakers,
including discounts, fees and shipping?
A) $73.01
C) $68.02
B) $58.75
D) $63.03
Answer:
A/$73.01
Step-by-step explanation:
Step One (1) : 35% off of $96 is %63.03. (This removes option D)
Step Two (1) : $63.03+The Shipping Fee ($4.99)
Step Three (3) : Add the 9% Processing Fee
Step Four (4): The Answer is $73.01!
I hope this helps and I hope you have a great day!
Figure 2 is a scale image of Figure 1, as shown below.
What is the scale factor applied to Figure 1 to produce Figure 2
Answer:
1.3
Step-by-step explanation:
when you divide figure 2 by figure 1 you get 1.3
please help me with this, will give brainlist:)
Answer:
A. 12 ≥ w ≥ 33
Step-by-step explanation:
So as wide as 33, means that it could be less than or equal to 33. And as narrow as 12 means greater than or equal to 12, so put that together and we have our answer
if this is wrong let me know so I can fix it
hope this helps:)
can anyone help me with this question? please
9514 1404 393
Answer:
a = 108°
b = 24°
Step-by-step explanation:
a) The pentagon will have interior angles of 540°/5 = 108°.
Angle a = 108°
__
b) The reflex angle at a vertex of the pentagon is 360° -108° = 252°. At the obtuse angle of the unshaded triangle, 120° of that amount is take up by two internal angles of the equilateral triangles. Those are 60° each. So, the obtuse angle in the unshaded triangle is ...
252° -120° = 132°
That triangle is isosceles, so the angle at b is ...
2b° +132° = 180°
b = (180 -132)/2 = 48/2 = 24
Angle b = 24°
Answer:
a = 108 °
b = 24°
Step-by-step explanation:
#CarryOnLearningA jacket used to cost $54. After a 40% discount, what is the new cost of the jacket?
Im pretty sure its $32.4
Step-by-step explanation:
The radius of a circle is 2 miles. What is the circle's area? r=2 mi Use 3.14 for .
Answer: A≈12.57mi²
Step-by-step explanation:
i hate doing my brothers work what is it?
Answer:
The answer is -0.7
Step-by-step explanation:
is the right answer
Answer:
-0.7
Step-by-step explanation:
Multiply-
Or use a calculator-
What is 3 1/4 as a decimal?
Answer:
3.25 :)
Step-by-step explanation:
Answer:
3.25
Step-by-ste
Can u guys pls help me if u are correct I will give brainliest i swear!
[tex]5 \times 10 + \frac{7 + 10}{2} \times 4 = 50 + 17 \times 2 = 50 + 34 = 84[/tex]
Answer:
i believe the area is 92
Step-by-step explanation:
Timed test please help
Rectangles P and Q are similar. If the area of rectangle P is 80, what is the area of
rectangle Q?
PLEAS HELP (no links or reported) I will give brainleast!
Answer:
84 ft^2
Step-by-step explanation:
Rectangle 1: Area = l x w = 3x6=16
Rectangle 2: 4x6= 24
Rectangle 3: 5x6=30
Triangle 1: A = 1/2 b x h = 1/2 x 4 x 3 = 6
Triangle 2: 1/2 x 4 x 3 = 6
Total = 16+24+30+6+6 = 84
Sawyer used $10.25 to buy a new journal. He has $39.75 left in his savings account. How much money did Sawyer have before he bought the journal
Answer:
Sawyer had $50 in his account before his purchase.
Step-by-step explanation:
$10.25 + $39.75 = $50
So he had $50 before he bought the journal
Hope this helps! good luck :)
The area of a circle is equal to − + . What is the radius of the circle?
Answer:
B
Step-by-step explanation:
Solving with formula of area of circle,B is the correct answer of this question.
Please Help! (Look at picture)
Answer:
B) h = 3V/πr²
Step-by-step explanation:
answer asap no wrong answer ~-~
Answer:
The correct option is (b).
Step-by-step explanation:
Given that,
The radius of the circle, r = 8 cm
The area of the sector, [tex]A=56\pi \ cm^2[/tex]
We need to find the measure of the sentral angle. The formula for the area of a sector is given by :
[tex]A=\dfrac{1}{2} r^2\theta[/tex]
Where
[tex]\theta[/tex] is the central angle
Substitute all the values,
[tex]\theta=\dfrac{2A}{r^2}\\\\\theta=\dfrac{2\times 56\pi }{8^2}\\\\\theta=\dfrac{7\pi}{4}\ rad[/tex]
So, the correct option is (b).
Fern knitted 20 scarves over 5 nights. After 8 nights of knitting, how many scarves would fern have made in total.
Answer:
Fern will knit 32 scarves in 8 nights.
Step-by-step explanation:
Number of scarves knitted by Fern in 5 night = 20
Relation between number of scarves knitted and number of nights is proportional,
Therefore, Number of scarves knitted (s) ∝ Number of nights spent to knit the scarves (n)
s ∝ n
s = kn
k = [tex]\frac{s}{n}[/tex]
Here, k = proportionality constant
For s = 20 and n = 5,
k = [tex]\frac{20}{5}[/tex]
k = 4 scarves per night
For 8 nights, by using the same proportionality rule,
k = [tex]\frac{s}{8}[/tex]
4 = [tex]\frac{s}{8}[/tex]
s = 32 scarves
Therefore, Fern will knit 32 scarves in 8 nights.
Find the surface area of the figure.
22 m
12 m
5 m
Answer and Step-by-step explanation:
Work is in Picture:
#teamtrees #PAW (Plant And Water)
which is an example of growth and decay:
f(x)=250(0.87)x
f(x) = 15 (1.25)x
Answer:
Both or neither
Step-by-step explanation:
If you input them into a calculator, then they have very similar slopes, and both go the same direction.
Sorry that I can't give you an absolute answer.
Hope that this helps!
What is the equation in slope-intercept form of the line that passes through the points ( -4 , 2) and (12, 66)?
A. y=0.25x+3
B. y=0.25x-4.5
C. y=4x+18
D. y=4x-42
hey could someone pls help me with this question? i really need to get this done. i’ll mark u brainiest if it’s correct!
Mel is 7cm less then her grandma's height. Her brother is 11cm taller then his grandma. Together height total 502 cm. What are their heights?
Answer:
Mel's height is 159cm, her brother's height is 177cm and their grandma's height is 166cm.
Step-by-step explanation:
Let the grandma's height be g cm.
Mel's height= (g -7) cm
Brother's height= (g +11) cm
Total height
= Mel's height +brother's height +grandma's height
= g -7 +g +11 +g
= (3g +4) cm
Given that their total heights is 502 cm,
(3g +4) cm= 502 cm
3g +4= 502
3g= 502 -4 (-4 on both sides)
3g= 498
g= 166 (÷3 on both sides)
To find their heights, substitute g= 166 back into the expressions.
Grandma's height= 166cm
Mel's height
= 166 -7
= 159cm
Brother's height
= 166 +11
= 177cm
Question 4 of 10
Which choices are equivalent to the expression below? Check all that apply.
416
O A. 74.36
OB. 16.6
O C. 196
D. 724
O E. 96
IF. 132. 13
Please help, I can't figure this out.
Answer:
5 seconds
Step-by-step explanation:
When the rocket is on the ground, then h = 0 , that is
- 6t² + 30t = 0 ← factor out - 6t from each term
- 6t(t - 5) = 0
Equate each factor to zero and solve for t
- 6t = 0 ⇒ t = 0 ← when rocket is launched
t - 5 = 0 ⇒ t = 5 ← time when rocket returns to ground