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
Which statement is most likely to be true for this distribution?
A. The mean is the same as the median.
B. The mean is less than the median.
C. The mean is greater than the median.
Answers
Answer:
B
Step-by-step explanation:
The distribution is skewed to the left (the lower end is pulled out to the left). The mean is less than the median. If the distribution were even more skewed to the left the mean would decrease, but the median (middle number in the data) would stay the same.
HELP NEEDED!!! 20 POINTS FOR A ANSWER AND EXPLANATION ON QUESTION #2! I cant figure this out help me please
Answers
Step-by-step explanation:
Start at the orgin.
The y intercept in the equation is -1 so I would shift 1 unit down to the orgin at (0,-1)
Then at the point, since the slope is -4. I would go down -4 units then go over 1 unit to the right.. So the next point would be (1,-5) then so on and so on.
You can check if your graph is correct by writing out specific points on the linear equation and making sure there slope is equal to -4.
If you get 9 = 0 as your final answer, how many solutions do you have in your set?
A) one solution
B) infinite solutions
C) no solution
D) two solutions
Answers
decide if these are equivalent ratios by simplifying. 12/27 and 20/36
Answers
Answer:
they are not equivalent
Step-by-step explanation:
12/27 reduces to 4/9 if you divide by 3
20/36 reduces to 5/9 if you divide by 4
4/9 ≠ 5/9
Step-by-step explanation:
Get your answer by reducing them:
12/27=4/9 ( in the table of 3)
20/36=5/9 ( in the table of 4)
hope it helps
Which is the equation in slope-intercept form for the line that passes through (-1,5) and is parallel to 3x + 2y = 4?
Answer asap please
Answers
Answer:
3.24
Step-by-step explanation:
The normal monthly temperatures (°F) for Omaha, Nebraska, are recorded below.
Month
Jan Feb Mar
Apr May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
1
2
3
4
5
6
7
8
9
10
11
12
Temp.
21°
27°
390520620
720
770
740
650
53°
39°
25°
a. Write a sinusoidal function that models Omaha's monthly temperature variation
b. Use the model to estimate the normal temperature during the month of April.
Answers
Answer
[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]
Step by Step Explanation
Given
See attachment for table
Required
Determine the sinusoidal function
The sinusoidal function is represented as:
[tex]y = A \sin(Bx + C) + D[/tex]
Where
[tex]|A| = Amplitude[/tex]
And it is calculated as:
[tex]A = \frac{1}{2}[Highest - Least][/tex]
From the table:
Highest = 77 and Least = 21
So:
[tex]A = \frac{1}{2}[77 - 21][/tex]
[tex]A = \frac{1}{2}[56][/tex]
[tex]A = 28[/tex]
B is calculated as:
[tex]Period = \frac{2\pi}{B}[/tex]
The period is 12 i.e. 12 months
So:
[tex]\frac{2\pi}{B} = 12[/tex]
[tex]B = \frac{2\pi}{12}[/tex]
[tex]B = \frac{\pi}{6}[/tex]
C is calculated as:
[tex]\frac{C}{B} = -4[/tex]
[tex]C = -4 * B[/tex]
[tex]C = -4 * \frac{\pi}{6}[/tex]
[tex]C = -2 * \frac{\pi}{3}[/tex]
[tex]C = -\frac{2\pi}{3}[/tex]
Lastly, D is calculated as:
[tex]D = Least + A[/tex]
So:
[tex]D =21 + 28[/tex]
[tex]D=49[/tex]
So, the function is:
[tex]y = A \sin(Bx + C) + D[/tex]
[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]
Answer:
y=28 sin (pi/6 t - 7pi/6)+49
Step-by-step explanation:
In ΔPQR, the measure of ∠R=90°, the measure of ∠P=26°, and PQ = 8.5 feet. Find the length of QR to the nearest tenth of a foot.
Answers
Answer:
3.7feet
Step-by-step explanations
Using the sin rule
A/sin a = B/sin b
Let A = PQ = 8.5feet
B = QR = x feet
a = R = 90°
b = P = 26°
Substitute the values into the Sin rule
8.5/sin90 = x/sin26
8.5×sin 26 = x × sin 90
8.5×0.4383 = x× 1
3.7255 = x
Hence the length of QR to the nearest tenth 3.7feet
Aaron wants to buy sod for his backyard. What is the amount of area he will need to cover? A)14in B)16in C)45.9 in D) 29.9in
Answers
Answer:
29.9 inches squared
Step-by-step explanation:
I just took this and got the answer right!!
What are the answers to these?
Answers
B=-12
C=3.6
I need to make the answer 20 letters so here’s a cookie
which expression is equivalent to the problem shown?
Answers
............................
Jessica is purchasing new photo frame for a photo. What measurement does Jessica need to know about the photo before she starts?
Answers
A large farm tractor costs $98,424, If a farmer makes 36 equal payments, how much Is each payment?
Answers
Answer:
Step-by-step explanation:
2,734 is your answer.
Can you help please.....
Answers
Answer:
b, d, and e are the three statements that make the most sense to be true.
Step-by-step explanation:
tell me if this is wrong.
Mahi has 31 rolls of string. Each roll holds 12 yards of string. How many feet of string does she have?
Answers
Answer:
1116ft of string, hope this helps !!
Step-by-step explanation:
(31 x 12) x 3 =
372 x 3 =
1,116
Please help.
For math class
Answers
Answer:
x = 30, z = 45, y = 105
Step-by-step explanation:
The lines are straight, so:
x = 30
z = 45
y = 180 - (45 + 30)
So there
1/8 of a cup of cinnamon was sprinkle evenly over some pieces of toast. if 1/32 of a cup was sprinkled on each piece, how many pieces were sprinklered?
A) 4
B) 6
C) 7
D) 8
Answers
Answer:
the answer is 4
Step-by-step explanation:
i took the test =p
Math helppp plzzzz 20 points helppp plzzzzz no links or imma report u
Answers
PLEAESE HELP ME I WILL GIVE BRAINLYEST!!!
(01.04 MC)
What is the sign of the product (3)(−25)(7)(−24)? (10 points)
Group of answer choices
Positive, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is positive
Negative, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is negative
Negative, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is negative
Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive
Answers
Answer:
Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive
Can anyone explain how you graph things for example, like y=x-4 how would you graph that
Answers
Answer:
In basicallity if a question such as this pops up, the correct way to go would first be to graph this. y=x-4 would be equivalent to x=4.
My paper work is below:
y = x - 4
0 = x - 4
-x = -4
x = 4
Hope this helped..
The answer to my question is
For number 13. x^3+7x^2-9x-63
For number14. 18x (x-4)
BUT SOMEONE SHOW WORK PLS FOR BRAINLYY :)))
Answers
Answer:
each colour represents what i’m multiplying
Step-by-step explanation:
hope this helps
How to find median of a triangle with coordinates
Answers
Which expressions are equivalent to 12r-5?
A. 6(2r+(-1))+1
B. -4(2+(-3r))+3
C. None of the above
Answers
Answer:
c
Step-by-step explanation:
because u cant be wrong with going with none of the above due the fact that they could be decimals and they didn't want to write out the full number therefore making it incorrect. No need to thank me.
What is the value of the expression {(23+7^2)}{2^{2}}
Answers
I t's a nd ur behaving this way caz 27th to you mind if u can get 8826th to use it's
Answer:
288
Step-by-step explanation:
{(23 + 7^2)(2^2)
{(23+49)(4)}
(23 x 4) + (49 x 4)
92 + 196
288
Please help me with this
What is m
Answers
Sophie has 7 cookies she wants to share equally with ten friends at her party. Part A If she separates all of the cookies and gives each friend an equal amount, how much cookie will each friend receive? Part B If Sophie wanted to give each friend 1 1/2 cookies, how many more cookies would she need?
Answers
Answer:
Each friend gets 0.7 cookie
8 cookies
Step-by-step explanation:
A.
Number of cookies = 7
Number of friends = 10
how much cookie will each friend receive?
Number of cookie each friend get = number of cookies / number of friends
= 7/10
= 0.7 cookie
Each friend gets 0.7 cookie
B.
If each friend 1 1/2 cookies
how many more cookies would she need?
Total number of cookies needed = 1 1/2 × 10
= 3/2 × 10
= 30/2
= 15 cookies
She already has 7 cookies
Number of cookies needed more = 15 cookies - 7 cookies
= 8 cookies
5 weeks 4 days -3 weeks 6 days. _____________
Answers
Answer:
1 week 8 days
that's the pattern
subtract 2 weeks add 2 days
brainliest would be nice
have a nice day
Step-by-step explanation:
Answer:
8 weeks
Step-by-step explanation:
What is the probability of drawing a club or a Jack from a deck of cards?
Answers
Answer:
94.5%
Step-by-step explanation
At the beginning of the week, a puppy weighed 5 1/4 pound. During the week the puppy gained another 8 pounds.
how much does the puppy weigh, in pounds, at the end of the week
Answers
The answer would be 13.25 :)).
Answer:
5 3/4
Step-by-step explanation:
I am a 2-digit number. If sum of my two digits is added to the product of my digits, it is me again. Can you find me?
Answers
Answer:
Step-by-step explanation:
Let “ab” represent the digits of the number.
a ≠ 0
Value of the number = 10a+b
a+b + ab = 10a + b
a + ab = 10a
ab = 9a
b = 9
“ab” = 19, 29, 39, 49, 59, 69, 79, 89, 99
Answer: 49
Step-by-step explanation:
4x9=36
4+9=13
36+13=49
what is the slope of the line?
Answers
Answer: -2/3
i hope this helps!
Answer:
[tex]\sf -\cfrac{2}{3}[/tex]Step-by-step explanation:
To measure slope, we pick any two points on the line. Then we look at the horizontal and vertical distances between those points.
Going from the point on the left to the point on the right, the change in y is -2 and and the change in x is 3.
[tex]\sf Slope=\cfrac{rise}{run} =\cfrac{-2}{3}[/tex]
[tex]\sf = -\cfrac{2}{3}[/tex]
The slope of the line is -2/3
___________________
Hope this helps!
Have a great day!