Answers
The definition of the cosine:
[tex] \cos( \alpha ) = \frac{adjecent}{hypotenuse} [/tex]
When we fill in this formula with the data from the picture, we get the following:
[tex] \cos(d) = \frac{21}{75} = \frac{7}{25} [/tex]
Therefore, the answer is 7 / 25
Related Questions
Haley sings for $1,000 an hour. Her rate increases by 50% after midnight. If she sings one
night from 8:30 pm until 1:00 am, how much should she be paid?
a) $4500 b) $5000 c) $5500 d) $6000
Answers
solve the equation
3x-3= -18
Answers
3x-3=-18
+3 +3 Remember: What you do to one side, you have to do to the other.
3x = -15
Now divide by the coefficient (the number in front of x).
(3x)/3 = (-15)/3
x = -5
The solution of the equation 3x-3= -18 is -5.
The algebraic expressions which are separated by an equal symbol in between them and with the same value is called is an equation
Example = 5x + 5 = 12
here, x is a variable and 5 and 12 are constants.
Given equation;
3x-3= -18
To find the value of x add 3 to both side, we get
3x = -18 +3
we get
3x = -15
divide both side by 3 we get
[tex]x = \dfrac{-15}{3}[/tex]
Convert in into the lowest form we get,
x = -5
The solution of the equation 3x-3= -18 is -5
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Help me please & thank ya
Answers
Hope this helps.
Cindy and Giovanni plan to make spaghetti sauce. Cindy needs 4 3/4 pounds of tomatoes for her recipe. Giovanni needs 5 /34 pounds of tomatoes for his recipe. If they make both recipes, how many pounds of tomatoes do they need?
Answers
Answer:
[tex]10\frac{1}{2}\text{ pounds}[/tex]
Step-by-step explanation:
Given,
For a recipe,
Cindy needs tomatoes = [tex]4\frac{3}{4}[/tex] pounds,
While, Giovanni needs tomatoes = [tex]5\frac{3}{4}[/tex] pounds,
If they make both recipes,
Then, total tomatoes they need = [tex]4\frac{3}{4}+5\frac{3}{4}[/tex]
[tex]=\frac{19}{4}+\frac{23}{4}[/tex]
[tex]=\frac{42}{4}[/tex]
[tex]=10\frac{2}{4}[/tex]
[tex]=10\frac{1}{2}\text{ pounds}[/tex]
What is true about side AB and side AD?
Answers
Seven of the 10 children at art camp make an average of 8 paintings. The remaining children make an average of 12 paintings. What is the average number of paintings made by children at the art camp? Enter your answer in the box.
Answers
How do you complete the square of x^2-14x+33=0?
Answers
Subtract 33 from both sides
x² - 14x = - 33
Divide the b term by 2 and then square the result. Then add that to both sides.
- 14 / 2 is - 7. (- 7)² = 49. Add that to both sides
x² - 14x + 49 = - 33 + 49
Combine the constants and factor the trinomial
(x - 7)² = 16
Square root both sides
x - 7 = +/- 4
or
x - 7 = - 4 and x - 7 = 4
You have to place a plus-minus statement because (- 4)² and 4² both equal 16.
Now we solve for x in each equation. Add 7 to both sides to isolate our variable.
x = 3 and x = 11
Final answer:
To complete the square for the equation x^2-14x+33=0, the constant 33 is moved to the other side, and the number needed to make the left side a perfect square trinomial, 49, is added to both sides, resulting in factoring and solving (x - 7)^2 = 16 to find x = 11 and x = 3.
Explanation:
To complete the square for the equation x^2-14x+33=0, you need to form a perfect square trinomial on the left side of the equation. First, you'll move the constant term to the right side:
x^2 - 14x = -33
Next, find the value that completes the square for the x-terms. This value is obtained by taking half of the coefficient of x (which is -14 in this case) and squaring it, giving us (-7)^2 = 49.
Add 49 to both sides of the equation:
x^2 - 14x + 49 = -33 + 49
x^2 - 14x + 49 = 16
Now, the left side of the equation is a perfect square trinomial, and can be factored into:
(x - 7)^2 = 16
To solve for x, take the square root of both sides:
x - 7 = [tex]\sqrt{16}[/tex]
x - 7 = +- 4
Finally, solve for x by adding 7 to both sides:
x = 7 +- 4
x = 11 or x = 3
A 3 inch wide border is wrapped around a rectangular prism. the length of the rectangular prism is 8 inches longer than its width. the surface area covered by the border is 383 square inches. what is the width of the rectangular prism? answer in units of inches.
Answers
How to find the area of a triangle with a base of 32ft
Answers
HELP ME PLEASE I DONT UNDERSTAND THIS PROBLEM!!!!! Worth 20PT
a ball is thrown with a slingshot at a velocity of 100 ft/sec at an angle 21 above the ground from a height of 5ft approximately how long does it take for the ball to hit the ground? acceleration due to gravity is 32 ft/s^2
Answers
We use the equation h(t)=-1/2gt²+v₀t+h₀ to set this up. g is the acceleration due to gravity, v₀ is the initial velocity and h₀ is the initial height:
h(t) = -1/2(32)t² + 100t + 5
h(t) = -16t² + 100t + 5
We will use the quadratic formula to solve this:
[tex]t=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ \\=\frac{-100\pm\sqrt{100^2-4(-16)(5)}}{2(-16)} \\ \\=\frac{-100\pm\sqrt{10000--320}}{-32} \\ \\=\frac{-100\pm\sqrt{10320}}{-32} \\ \\=\frac{-100\pm101.59}{-32} \\ \\=\frac{-100+101.59}{-32}\text{ or }\frac{-100-101.59}{-32} \\ \\=\frac{1.59}{-32}\text{ or }\frac{-201.59}{-32} \\ \\=-0.05\text{ or }6.3[/tex]
Since a negative amount of time makes no sense, the answer is 6.3.
Answer:
D) 2.37 seconds
Step-by-step explanation:
Took the test and got it wrong.
The lateral area of a cone is 555 \pi cm^2 and the radius is 15.1 what is the slant height?
Answers
[LA]=pi*r*l
where
LA is the lateral area of the cone
r is the radius
l is the slant height
l=LA/(pi*r)
r=15.1 cm
LA=555*pi cm²
l=(555*pi)/(pi*15.1)----> l=36.75 cm
the answer is
the slant height is 36.75 cm
Find the diameter of a circle whose equation is x2+(y−2)2=100x2+(y−2)2=100.
400
20
10
100
Answers
Take the square root of 100
sqrt(r^2) = sqrt(100)
r = 10
But you want the diameter.
d = 2 * r
d = 20
B answer.
A metal washer is made by cutting out a circle 13.2 mm in diameter from a larger circle. To the nearest tenth, what is the area of the washer?
547.1 mm2
972.6 mm2
60.8 mm2
243.3 mm2
Answers
Answer: [tex]243.3\ mm^2[/tex]
Step-by-step explanation:
Given: The diameter of smaller circle = 13.2 mm
Then the radius of smaller circle r =[tex]\frac{13.2}{2}=6.6\ mm[/tex]
Also, the radius of larger circle R= [tex]6.6+4.4=11.0\ mm[/tex]
Now, the area of the washer is given by :-
[tex]\text{Area of washer=Area of larger circle-Area of smaller circle}\\\\\Rightarrow\\text{Area of washer}=\pi R^2-\p r^2\\\\\Rightarrow\\text{Area of washer}=\pi(R^2-r^2)\\\\\Rightarrow\\text{Area of washer}=(3.14159265359)((11.0)^2-(6.6)^2)\\\\\Rightarrow\\text{Area of washer}=243.284935094\approx243.3\ mm^2[/tex]
The area of the washer is 0 mm2.
Explanation:To find the area of the washer, we first need to find the area of the larger circle and the area of the smaller circle. The formula for the area of a circle is A = πr^2.
The larger circle has a diameter of 13.2 mm, so the radius is half of that, which is 6.6 mm. Plugging this value into the formula, the area of the larger circle is approximately 136.78 mm2.
The smaller circle has a diameter of 13.2 mm, so the radius is again 6.6 mm. Using the same formula, the area of the smaller circle is also approximately 136.78 mm2.
To find the area of the washer, we subtract the area of the smaller circle from the area of the larger circle: 136.78 mm2 - 136.78 mm2 = 0 mm2. Rounded to the nearest tenth, the area of the washer is 0 mm2.
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Anna and Ryelin together have 895 songs downloaded. Ryelin has 177 more songs downloaded than Anna. How many songs do each of them have?
Answers
x = number of songs downloaded by Anna
y = number of songs downloaded by Ryelin
Then,
x + y = 895 ----- (1)
But, it is also indicated that,
y = x+177
Substituting for y in (1);
x+(x+177) = 895
2x + 177 = 895
2x = 895-177 = 718
x = 718/2 = 359 songs
y = x+177 = 359+177 = 536 songs
∴ Songs downloaded by Anna = 359 songs
Songs downloaded by Ryelin = 536 songs
98 POINTS AND BRAINLIEST!!!!!!!!!!!
Answers
p(x) = r(x) - c(x)
p(x) = [ r(x) ] - [ c(x) ]
p(x) = [18x] - [5x+20]
p(x) = 18x - 5x - 20
p(x) = 13x - 20
Answer is choice A
Hello!
I believe the answer is A) p(x) = 13x -20.
I hope it helps!
3(−4x) + 3(5) = 12
−12x + 15 = 12
−12x + 15 − 15 = 12 − 15
−12x = −3
x =
Answers
Answer: 1/4
don't forget to rate and thank plz.
What value of c makes the trinomial below a perfect square x2 + 7x + c?
Answers
x² + 7x + c
Group terms that contain the same variable
(x² + 7x )+ c
Complete the square. Remember to balance the equation
(x² + 7x+3.5² )+ c-3.5²
Rewrite as perfect squares
(x+3.5)²+ c-3.5²so
c-3.5² must be zero
c-3.5²=0------- c=3.5²------> c=12.25
the answer is
the value of c must be 12.25
Answer:49/4
Step-by-step explanation:
Which expression is equivalent to x3 – 7x – 6?
Answers
The function is f(x) = (x + 2)(x + 1)(x - 3)
Answer is D.
what is the product? -9x(5-2x) 18x2 -45x -18x2-45x -18x-45 18-45x
Answers
Answer: A.
Step-by-step explanation:
The product of equation is 18x² - 45x.
What is linear equation?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given equation -9x(5 - 2x)
product = -9x(5) - (-9x)(2x)
= -45x + 18x²
= 18x² - 45x
Hence the product is 18x² - 45x.
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How many times larger is 4 x 1016 than 5 x 108?
Answers
5 × 108 = 540
4,064 ÷ 540 = 7.5
Answer = 7.5
~Aamira~
Hope this helped☺☺
The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles right triangle.
Answers
Answer:
Step-by-step explanation:
What is the area of the triangular base? 8 square feet
What is the length of edge DF? 4 feet
Answer:
What is the area of the triangular base?
8 square feet
What is the length of edge DF?
4 feet
Step-by-step explanation:
just did the quiz on EDG
Sharon wants to know the difference between the average amount she stacked and the average amount Diane stacked. Which operation would she use to find the difference?
Answers
Hope this helped :D
The figure below shows a shaded circular region inside a larger circle:
Will insert pic below
What is the probability that a point chosen inside the larger circle is not in the shaded region?
24%
36%
50%
64%
Answers
Probability=(area of unshaded part)/(area of the large circle)
Area of unshaded part will be:
A=(area of large circle)-(area of small circle)
area of large circle=πR²=π×5²=25π in²
area of small circle=πr²=π×3²=9π
Area of un-shaded part=25π-9π=16π in²
thus the probability that part chosen is not shaded will be:
16π/25π
=0.64
=64%
Answer: 64%
Answer:
the answer is 64%
Step-by-step explanation:
For which angle is secant undefined?
30°
45°
180°
270°
Answers
The secant is undefined at angle values that represent 1/4 and 3/4 of a full circle. At these angles, the triangle geometrically vanishes into a simple line segment on the Y axis. The value of the triangle's adjacent side is zero and division by zero is undefined.
Answer:
the answer is 180 degrees
Step-by-step explanation:
i used my head and my google maths
Solve the equation using square roots. 3x2 – 27 = 0
Answers
The answers are x = 3 and x = -3.
[tex]3 {x}^{2} - 27 = 0[/tex]
Add 27.
[tex]3 {x}^{2} = 27[/tex]
Divide by 3.
[tex] {x}^{2} = 9[/tex]
Take the root and the negative root.
[tex]x = \sqrt{9} = 3 \: \: or \: \: x = - \sqrt{9} = - 3[/tex]
Therefore, the answers are x = 3 and x = -3.
~ Hope this helps you!
The value of X are x = 3 and x = -3. using square root.
What is square root?A square root can be regarded as a factor of a number in the sense that when that number is multiplied by itself, it gives the original number.
3x²– 27 = 0
⇒3x²= 27
⇒x²= 27/3
⇒x² = 9
⇒x = sqrt(9)
⇒ x =±3
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please help me figure out this probability problem!!!
Answers
The probability that the first ball is red: [tex]P(R)=\dfrac{10}{16}=\dfrac{5}{8}[/tex]
The probability that the second ball is black: [tex]P(B)=\dfrac{1}{15}[/tex]
Together:[tex]P(R)\cdot P(B)=\dfrac{5}{8}\cdot\dfrac{1}{15}=\dfrac{1}{24}[/tex]
So your answers are....
First ball being red: 5/8
Second ball being black: 1/16
Hoped this helped. Have a nice day!
A football is selling for $35 off the original price. The original price was $60. What is the sale price of the football?
Answers
It takes 60 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed
Answers
You divide the amount of space planted by the weight of seeds it took
10 / 60 = 0.6
It takes 0.6 pounds of seeds to plant 1 acre of land
Hope this helps!
What is the 12th term of the sequence? 3, −9, 27, −81, 243, ...
531441
−531441
177147
−177147
Answers
There are 2 ways you can find this.
A. You can find this by starting with 3, and multiply -3 then multiply -3 to each product after that 11 times. Or...
B. Simply find 3 to the 12th power. Then add a negative since each even term (term 2, 4, 6, etc) are negative.
I hope this helps!
Divide 2y2 + 8 by 2y + 4. Which expression represents the quotient and remainder?
Answers
Final answer:
To divide 2y² + 8 by 2y + 4, use long division to find the quotient and remainder.
Explanation:
To divide 2y² + 8 by 2y + 4, we can use long division. Here are the steps:
Divide the first term of the dividend by the first term of the divisor, which gives us y.
Multiply the entire divisor by y to get 2y² + 4y.
Subtract 2y² + 4y from the dividend 2y² + 8 to get 4.
Next, divide 4 by 2y + 4, which gives us 2.
Finally, we have a remainder of 0.
Therefore, the quotient is y + 2 and the remainder is 0.