Answers
Answer:
cosθ₁ = - [tex]\frac{5}{13}[/tex]
Step-by-step explanation:
Given
sinθ₁ = - [tex]\frac{12}{13}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
This is a 5- 12- 13 right triangle
with opposite = 12, adjacent = 5 and hypotenuse = 13
Given θ₁ is in the 3rd quadrant where cosθ₁ < 0 , then
cosθ₁ = - [tex]\frac{adjacent}{hypotenuse}[/tex] = - [tex]\frac{5}{13}[/tex]
Related Questions
Simplify (-4a^5b) (2a^2b)
Answers
Answer:
[tex]-8a^{7b}[/tex]
Step-by-step explanation:
[tex](-4 a^{5b}) (2a^{2b}) = -(2^2 a^{5b}) (2a^{2b})\\[/tex]
[tex]= -(2 ^2 \times 2) \times a^{5b + 2b}\\\\= -(2 ^{2+1}) \times a^{7b}\\\\=-(2^{3}) \times a^{7b}\\\\= - 8 a^{7b}[/tex]
Jake volunteers to help out his younger brother's basketball team in his free time. One of his tasks is to ensure that all the basketballs have enough air in them. Given that a properly inflated basketball measures 8.8 inches across, what is the total volume of air inside six of Jake’s basketballs? Assume that the wall of each ball is infinitely thin.
Answers
Answer:
The volume is 2140.98 inches
Hope this helped!
Answer:
681.47 π cubic inches
Step-by-step explanation:
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
How much of the 15% alcohol solution should Bruce use?
Answers
Answer:
10% = 30 15% = 20
Step-by-step explanation:
_
Help me please ASAP tysm
Answers
Answer:
2/3 ft
Step-by-step explanation:
area of triangle =base*height/2
2/5=base*6/5/2
2/5 *2 =base * 6/5
4/5 =base*6/5
4/5÷6/5=base
4/5 * 5/6=base
20/30=base
2/3=base
therefore base=2/3 ft
PLZ HELP I will give brainliest :)))
Answers
Answer:
The answer should be A.
Step-by-step explanation:
The hall is a rectangle that measures 4m long by 90 cm wide what is the area
Answers
Step-by-step explanation:
the answer is 36000 cm2
please mark the brainliest
┻━┻︵└(՞▽՞ └)
I told you I was not smart :[
Answers
Answer:
Attached below
Step-by-step explanation:
Trapezoid: Opposite side are parallel in trapezium.
So, opposite sides are parallel in all given quadrilateral except second.
Therefore, attached figure is not trapezium.
Answer:
.........
Step-by-step explanation:
How do I find the value of y in y=mx+c
Answers
Jacinta received a scholarship from the american meteorological society and was able to pay 43% of one year of her college with the scholarship money the remainder 11, 033.75 for the year was posted for with a student loan what was the total cost of 4 years
Answers
Answer:
$77429.824
Step-by-step explanation:
Let the total college cost for one year = x
43% of x was paid with scholarship fee
Percentage left = 100% - 43% = 57%
57% is equivalent to 11,033.75
57/100x= 11,033.75
0.57x = 11033.75
x = 11033.75 / 0.57
x =19357.456 ; this is Jacinta's college fee for a year ;
Hence
College fee for 4 years :
19357.456 * 4 = $77429.824
Given the triangle below, what is the measure of x to the nearest foot?
Answers
Answer:
18 ft
Step-by-step explanation:
Since the triangle is right angled ; we could use trigonometry ;
Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x
Cos θ = Adjacent / hypotenus
Cos 40 = 14 / x
0.7660444 = 14 / x
0.7660444x = 14
x = 14 / 0.7660444
x = 18.27
= 18 ( nearest foot)
What is the measure, in degrees of A?
Answers
Answer:
[tex] = \frac{1}{2} \times 134 \degree \\ = 67 \degree[/tex]
Huxian's father gives her $120 as her monthly allowance. a) If she spends an average of 5 dollars a day, find the amount on money that she is left with after 1) 3 days 2) 6 days 3) 10 days
Answers
Answer:
3 days= $105, 6 days= $90, 10 days= $70
Step-by-step explanation:
You can rewrite this equation as y=120-5x
x is the amount of days passed
plug in 3 for x and you get 15. 120-15=105
plug in 6 for x and you get 30. 120-30=90
plug in 10 for x you get 50. 120-50=70
Hope this helps!
:)
The students at Riverview High School were asked to vote on their preference for new school colors. The school principal was interested to see how the student-athletes might vote differently from the students who are not athletes. The table shows the results of the vote. What percent of the student-athletes voted for red and gold as the new school colors? Round your answer to the nearest whole percent. 27% 42% 51% 67%
Answers
Answer: %27
Step-by-step explanation: 90/338 x/100
90x100=9000
9000/338=%27
Factorize : x^3 + 6x^2 + 11x + 6
can you tell me the fast cause i am doing my exam:)
Answers
Explanation: factor by grouping (x+1)(x^2+5x+6)
Find one factor use factor by grouping and that’s how I got the answer (x+1)(x^2)(x+3) I hope this helps you
In base 2, what is the value of 1011₂ + 10111₂
Answers
1011₂ + 10111₂
= (1000₂ + 10₂ + 1₂) + (10000₂ + 100₂ + 10₂ + 1₂)
= 10000₂ + 1000₂ + 100₂ + 2 (10₂) + 2 (1₂)
= 10000₂ + 1000₂ + 100₂ + 2 (10₂) + 10₂
= 10000₂ + 1000₂ + 100₂ + 100₂ + 10₂
= 10000₂ + 1000₂ + 2 (100₂) + 10₂
= 10000₂ + 1000₂ + 1000₂ + 10₂
= 10000₂ + 2 (1000₂) + 10₂
= 10000₂ + 10000₂ + 10₂
= 2 (10000₂) + 10₂
= 100000₂ + 10₂
= 100010₂
If its length is 4x - 3 meters and its width is 2x + 6meters , what is the actual width of the rectangle?
Answers
Answer:
p
=
2
(
4
x
+
3
)
+
2
(
2
x
−
6
)
or simplified
p
=
12
x
−
9
Explanation:
By definition the perimeter of an object is the length of all its sides.
Also by definition, for a rectangle the 2 sides of the width are equal and the 2 sides of the length are equal.
Therefore the equation for the perimeter of a rectangle can be written as:
p
=
2
⋅
l
+
2
⋅
w
where
p
is the perimeter,
l
is the length and
w
is the width.
Substituting what was given about the length and width gives the equation:
p
=
2
(
4
x
+
3
)
+
2
(
2
x
−
6
)
Simplifying this equation gives:
p
=
8
x
+
3
+
4
x
−
12
p
=
8
x
+
4
x
+
3
−
12
p
=
12
x
−
9
Step-by-step explanation:
I NEED HELP WITH THIS NOWWW
Answers
18x+48+32+12x
18x+80+12x
30x+80
that's 3 different expressions equivalent to the original
Answer:
You can first remove the parentheses to get 18x+48+32+12x
Then you can combine like terms to get 30x+48+32
Finally you can finish combining like terms to get 30x+80
You could also enter 10(3x+8) because of the distributive property.
Step-by-step explanation:
Can someone help me? It's urgent and thank you!
Answers
Answer:
11 in
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
121 = s^2
Taking the square root of each side
sqrt(121) = sqrt(s^2)
11= s
Answer:
The side of square is 11 m.
Step-by-step explanation:
To calculate the side of square .
Here, given area of square which is 121 inches².
Using Formula :-
Area of square = ( side )²where, side is the length of side of square.
Solution :-
Area of square = ( side )²
121 inches² = side²
Taking square root of both side
√121 inches² = √side²
11 inche = side
Hence, The side of square is 11 inche.
Someone helpp plzzzzzz
Answers
hope this helps
OASIIO - II - TWO WAY POWER CIENTIFIC CALCULATOR S-A.AKR 국 2401 . 0
Answers
Answer:
I can't understand !!!!!!!!!
pls help me with this maths equation
Answers
Answer:
Step-by-step explanation:
given :
y = 120 degree
z = 57 degree
angle x = ?
first lets find angle c in triangle BDC
angle c + z = y (sum of two interior opposite angle is equal to the exterior angle formed)angle C + 57 = 120
angle C = 120 -57
angle C = 63 degree
Now lets find angle B in triangle BDC
angle B + angle C + z = 180 degree (sum of interior angles of a triangle)
angle B + 63 + 57 = 180
angle B + 120 = 180
angle B = 180 - 120
angle B = 60 degree
now for angle x
angle B + z = angle x (sum of two interior opposite angles is equal to the exterior angle formed)
60 + 57 = x
117 = x
What is the exact value of the trigonometric ratio of tan-240 degrees?
Answers
Tan^-1(240)=89.76126897
Which line of best fit is the best choice for the data given below?
Answers
The volume of a cuboid is 462cm3. The length is 11cm and the width is 60mm. Work out the height of the cuboid
Answers
Answer:
step-by-step explanation: 1cm is equal to 10mm
The volume of a cuboid is length ×breadth×height
We start by converting 60 mm into cm which will be 6cm
Solution :
462cm3=11cm×6cm
462cm3/66=66cm/66
The final answer will be 7cm
Therefore the height is 7cm
Need help with figuring out this zingoes problem asap, willing to give brainliest!
Answers
Answer:
The yellow trapezoid, blue rectangle, and whatever that purple thing is are zingoes
Step-by-step explanation:
As far as I can tell, all the correct examples are
1) Symmetrical
2) Have a line splitting them symmetrically and does not go above or below the shape (Does that make sense?)
The wrong examples don't have any of the characteristics told above. For example, the square would be wrong because it doesn't even have a line
(P.S- This isn't my picture, just found it on the web. Shout out to whoever owns this)
Which describes the correlation shown in the scatterplot
Answers
Hope this helps!!
Find the distance between the given points. Round to the nearest tenth.
Answers
Answer:
(7 , -3)
Step-by-step explanation:
The distance between A and B is 7 squares to the right and 3 squares down
Directions: Solve for x. Round your answer to the nearest tenth. Make sure you calculator
is in degree mode!
541
9
Answers
Answer:
12.4
Step-by-step explanation:
using x= 9tan54 the results is 12.38743728 but 12.4 to the nearest tenth
Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob’s cost for his truck was $112.96 for 138 miles. Carl’s cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck?
Round to the nearest hundredth if necessary.
Answers
Answer:
ok so we can turn both of these into equations
Bob: 112.96 divided by 138=0.81855072463
so about 82 cents per mile
Carl: 142.78 divided by 209=0.68315789473
so about 68 cents per mile
so ya i am a little confused but heres what i got
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