Answers
The interior angles of any triangle must add up to 180° in measure. Right angles have measure 90°, so the missing angles in both triangles here have measure 45°.
In a 45°-45°-90° triangle, the legs and hypotenuse occur in a ratio of 1 : √2. This means
(1) x = 48 √2
(2) 88 = √2 x → x = 88 / √2 = 44 √2
You could also set up trigonometric equations to solve for x in each case:
(1) cos(45°) = 48 / x → x = 48 / cos(45°) = 48 / (1 / √2) = 48 √2
(2) cos(45°) = x / 88 → x = 88 cos(45°) = 88 (1 / √2) = 44 √2
Step-by-step explanation:
The interior angles of any triangle must add up to 180° in measure. Right angles have measure 90°, so the missing angles in both triangles here have measure 45°.
In a 45°-45°-90° triangle, the legs and hypotenuse occur in a ratio of 1 : √2. This means
(1) x = 48 √2
(2) 88 = √2 x → x = 88 / √2 = 44 √2
You could also set up trigonometric equations to solve for x in each case:
(1) cos(45°) = 48 / x → x = 48 / cos(45°) = 48 / (1 / √2) = 48 √2
(2) cos(45°) = x / 88 → x = 88 cos(45°) = 88 (1 / √2) = 44 √2
Related Questions
3x – 9y + 2x – 2x
simplify
Answers
Answer:
3x-9y
Step-by-step explanation:
both 2x's in the equation cancel out to zero leaving the answer
can someone help please??
Answers
Answer:
iput the equation into my calculator and i graphed it and found the roost
Step-by-step explanation:
the answer is d
Help please, not sure how to do this...
Answers
Answer:
8.38
Step-by-step explanation:
The underlined number is in the hundredths place, so that means that we're going to round there. That means that you look at the number to its right and if it's lower than 5, it stays the same. However, if it's 5 or higher, you round it up. For example, if the number was 8.386, we would round it to 8.39.
What is the Alternate Hypothesis for the following situation:
At most 60% of American vote in the presidential elections.
Answers
Answer:
The alternative hypothesis is; Hₐ;
[tex]\hat p[/tex] > 60%
Step-by-step explanation:
The given hypothesis of the number of Americans that vote in the presidential election is;
Hypothesis; At most 60% of Americans vote in the presidential elections
Therefore, the hypothesis states that the percentage of Americans that vote in the presidential ≤ 60%
The given hypothesis is the null hypothesis due to the presence of one of the operators ≤, ≥, or =
The null hypothesis is therefore, H₀: [tex]\hat p[/tex] ≤ 60%
Therefore, the alternative hypothesis is; Hₐ; [tex]\hat p[/tex] > 60%.
HELP ASAP PLEASE!
Write a rule for the sequence.
4, 8, 16, 32, ...
Start with 4, and multiply by 2 repeatedly.
Start with 4, and add 8 repeatedly.
Start with 4, and add 2 repeatedly.
Start with 2, and multiply by 4 repeatedly.
Answers
I don’t understand this. Please help
Answers
Answer:
x = 150
Step-by-step explanation:
(n-2)180 (n = the amount of sides)
(12 - 2)180
(10)180
1800
1800/12 = 150
You're in the market for a new car. You noticed a car advertised as being 4,400 pounds. How many tons does this car weigh?
help asap!
Answers
Answer:
2.2 tons
Step-by-step explanation:
1 pound = 0.0005 tons
You have to multiply 4400 pounds by 0.0005 to get tons:
4400(0.0005) = 2.2 tons
Answer:
2.2 Tons
Step-by-step explanation:
You just have to see how many tons is in 4,400 pounds.
Convert to millimeters: 21 centimeters A. 210 millimeters B. 21,000 millimeters C. 2,100 millimeters D. 2.1 millimeters
Answers
Answer:
A. 210
Step-by-step explanation:
What is the solution to the system of equations graphed below???
Answers
Answer:
The solution is (-2,-2)
Step-by-step explanation:
This is the point where the two graphs intersect.
A bag contains 30 ping-pong balls, each with a different number written on it from 1 to 30. What is the probability of selecting a ball with a number that is less than 13?
Answers
Answer:
...
Step-by-step explanation:
Answer:
so you have a 40% chance or 2/5 chance
Step-by-step explanation:
30 numbers in total
12 are less than 13
so you have a 12/30
simplify
2/5 = 0.4 or 40%
Plz help, And no links please
List all the possible rational zeros of the function f(x)=x^2-5x+12
Answers
However, here is the method u can use to find the zeros lol
You can use the quadratic formula in order to get the zeros
This is the equation therefore use these values
ax^2+bx+c=0
A=1
B= -5
C=12
The quadratic formula is -b±√(b^2-4ac))/2a (I left a picture just in case)
What is the value of x in the equation −8 + x = −2?
Answers
Express each quotient in the simplest form. A. B. C. D.
What is the answer? There is nothing people have said to help
Answers
how to make percent to decimal?
ex. 76% = #/#
Answers
Answer:
divied by 100 and remove the "%" sign.
Step-by-step explanation:
1.)example 10% becomes 10/100=0.10
2.) example 67.5% becomes 67.5/100=0.675
Two numbers have a sum of - 6 and a product of 9.
Use the quadratic equation n^2 - 6n + 9 = 0 to determine the two numbers.
n2 - 6n + 9 = 0
Answers
Answer:
3, 3
Step-by-step explanation:
[tex]n^2 - 6n + 9 = 0 \\ n^2 - 3n - 3n+ 9 = 0 \\ n(n - 3) - 3(n - 3) = 0 \\ (n - 3)(n - 3) = 0 \\ n - 3 = 0, \: \: n - 3 = 0 \\ n = 3, \: \: n = 3[/tex]
Thus, the two numbers are 3, 3
what is the perimeter of the larger triangle?
Answers
42 ft
Source(s):
Dude trust me
which is greater 3.2×10¹⁰ or 4×10¹²
Answers
This is geometry please help
Answers
Answer:
9
Step-by-step explanation:
mn ~Jk
mn x 5/3 = 15
mn = 15 x 3/5
MM = 9
the quotient of 22 and a number a
Write the phrase as an expression
Answers
Answer:
22/a
Step-by-step explanation:
The quotient of 22 and a number = 22/a
Write the equation Y=mx+b Not just the rate of change
Answers
Answer:
y=2/5x+8/5
Step-by-step explanation:
so say you plot a graph of rain against the hours the gradient would be the rate of change and the information given as your points and the gradient
now to get an equation of a straight line use one of your points eg(1,2) and the gradient or rate of change mine was 0.4
2x - 5 + ¾ (4x - 8) =19
Answers
It would most likely equal to 6. Hope this helped.
Step-by-step explanation:
Can u help solve this step by step?
Answers
Answer:
[tex]\sqrt{28}[/tex]
Step-by-step explanation:
It is given that the triangle (QRS) is right, thus one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states,
[tex](a)^2+(b)^2=(c)^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the right angle and (c) is the hypotenuse or the side opposite the right angle. The unknown side in the triangle is a leg, thus, let (b) represent this value. Substitute in the given values and solve,
[tex](6)^2+(b)^2=(8)^2\\\\36+b^2=64\\\\b^2=28\\\\b=\sqrt{28}[/tex]
Which equation has no real solutions?
A 2x2 + 2x + 15 = 0
B 2x2 + 5x – 3 = 0
C 1 x2 + 7x + 2 = 0
D x2 - 4x + 2 = 0
Answers
Whats the area of a circle with a circumference of \blueD{50.24}50.24start color #11accd, 50, point, 24, end color #11accd units.
Answers
Answer:
[tex]A=200.96\ unit^2[/tex]
Step-by-step explanation:
Given that,
The circumference of the circle, C = 50.24 units
We need to find the area of the circle.
The formula for the circumference of the circle is given by :
[tex]C=2\pi r[/tex]
r is the radius of the circle
[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{50.24}{2\times 3.14}\\\\r=8\ units[/tex]
The formula for the area of a circle is given by :
[tex]A=\pi r^2\\\\A=3.14\times 8^2\\A=200.96\ unit^2[/tex]
So, the area of the circle is equal to [tex]200.96\ unit^2[/tex].
NEED ASAP
a board that is 3 yards long is to be cut into 4/5 equal-size pieces. how many whole pieces can be cut?
Answers
Answer:
Only 3 boards can be cut if they are whole
Hey, so I REALLY want to rank up and I just need 2 more "Brainliests" so if you like my answer, can you please give me a Brainliest? If not, that's okay! Thank you so much!
When identifying properties of n - sided polygons where 3 _< n <_ 10. What does 3 <_ n <_ 10 means ?
Answers
9514 1404 393
Answer:
3 ≤ n ≤ 10 means "three is less than or equal to n, which is less than or equal to 10"
you're concerned with polygons having 3 to 10 sides, inclusive.
Step-by-step explanation:
The symbol ≤ means "less than or equal to." The compound inequality ...
3 ≤ n ≤ 10
means the value of n may range from 3 to 10, inclusive.
__
In the present context, where n is a number of sides, it means you're concerned with polygons that are any of ...
triangle, quadrilateral, pentagon, hexagon, ...
heptagon, octagon, nonagon, decagon
The diameter of a circle is 12cm. Find its area in terms of π.
Answers
Answer:
37.68 cm²
Step-by-step explanation:
2πr
2π6
2 × 3.14 × 6
37.68 cm²
HELP PLEASE
Determine the solution to the following system of equations.
y = -2x2 + 4x + 8
y = -4x + 16
Answers
Answer:
(x, y) =([tex]\frac{9}{2}[/tex], -2)
um yuh?
which box plot matches the data set
21,22,23,26,29,32,34,38,40,42,43
For this data set,the first quartile is 23 the median is 32 the 3rd quarter is 40
Answers
Answer:
Option C is your answer
Step-by-step explanation:
21,22, 23, 26,29, 32, 34,38, 40, 42,43
Yes, Q1 is 23, median is 32, Q3 is 40
So the box should start on 23, end on 40, and have its inner line over 32.
In your picture, that's option C
Answer:its c
Step-by-step explanation:i took the test
what is the slope pls help
Answers
Answer: 19,7
Step-by-step explanation:
