Can you help me to solve this
Using special right triangles and for the other using trigonometry
Answers
Answer:
[tex]\text{Triangle 1:}\\\\x=30\sqrt{2},\\\\\text{Triangle 2:}\\x\approx 36.18,\\?\approx12.37[/tex]
Step-by-step explanation:
*Notes (clarified by the person who asked this question):
-The triangle on the right has a right angle (angle that appears to be a right angle is a right angle)
-The bottom side of the right triangle is marked with a question mark (?)
Triangle 1 (triangle on left):
Special triangles:
In all 45-45-90 triangles, the ratio of the sides is [tex]x:x:x\sqrt{2}[/tex], where [tex]x\sqrt{2}[/tex] is the hypotenuse of the triangle. Since one of the legs is marked as [tex]30[/tex], the hypotenuse must be [tex]\boxed{30\sqrt{2}}[/tex]
It's also possible to use a variety of trigonometry to solve this problem. Basic trig for right triangles is applicable and may be the simplest:
[tex]\cos 45^{\circ}=\frac{30}{x},\\x=\frac{30}{\cos 45^{\circ}}=\frac{30}{\frac{\sqrt{2}}{2}}=30\cdot \frac{2}{\sqrt{2}}=\frac{60}{\sqrt{2}}=\frac{60\cdot\sqrt{2}}{\sqrt{2}\cdot \sqrt{2}}=\frac{60\sqrt{2}}{2}=\boxed{30\sqrt{2}}\\[/tex]
Triangle 2 (triangle on right):
We can use basic trig for right triangles to set up the following equations:
[tex]\cos 20^{\circ}=\frac{34}{x},\\x=\frac{34}{\cos 20^{\circ}}\approx \boxed{36.18}[/tex],
[tex]\tan 20^{\circ}=\frac{?}{34},\\?=34\tan 20^{\circ}\approx \boxed{12.37}[/tex]
We can verify these answers using the Pythagorean theorem. The Pythagorean theorem states that in all right triangles, the following must be true:
[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle.
Verify [tex]34^2+(34\tan20^{\circ})^2=\left(\frac{34}{\cos20^{\circ}}\right)^2\:\checkmark[/tex]
Related Questions
Once again, consider the data for Fred's caloric intake. 2000 2200 2100 2400 2500 1900 2200 2200 2700 2600 Find the : (enter your answers as numbers) Sample standard deviation (rounded to the nearest hundredth)
Answers
Answer:
The sample standard deviation is of 248.19.
Step-by-step explanation:
First we find the sample mean, which is needed to find the sample standard deviation.
Sample mean:
Sum of all values in the sample, divided by the number of values. So
[tex]M = \frac{2000+2200+2100+2400+2500+1900+2200+2200+2700+2600}{10} = 2280[/tex]
Sample standard deviation:
Square root of the sum of the difference squared between each value and the mean, divided by the number of values. So:
[tex]S = \sqrt{\frac{(2000-2280)^2+(2200-2280)^2+(2100-2280)^2+(2400-2280)^2+(2500-2280)^2+(1900-2280)^2+...}{10}} = 248.19[/tex]
The sample standard deviation is of 248.19.
Suppose you have two rectangular prism with dimensions 2 feet by 3 feet by 5 feet. You want to join prisms together to form a larger rectangular prism. Which faces should you join if you want to make a prism with the least possible surface area?
Answers
Answer:
Below in bold.
Step-by-step explanation:
You would join the faces with the greatest area
That is the faces with dimensions 3 feet by 5 feet.
 A 20-sided die is rolled.
A) Find the probability that the die shows a number greater than 15.
B) Find the probability that the die shows an even number.
C) Find the probability that the die shows a number that is not 5, 6, 7, or 8.
D) Find the probability that the die shows a number that is Prime.
Answers
Answer:
A) .25 or 25% or 1/4
B) .50 or 50% or 1/2
C) .55 or 55% or 11/20
D) .4 or 40% or 2/5
A flea is jumping around on the number line. He starts at 3 and jumps 5 units to the left. Where is he now on the number line
Answers
Answer:
Answer. -2
Step-by-step explanation:
hope this helps!!
I need an answer quick!!!
Answers
Answer:
0.34
Step-by-step explanation:
it is between 0.3 and 0.4 so obviously 0.3 is going to be there, but the next digit will be 4 because it moves 4 places to the right.
Answer:
The answer is .34
When you see a question like this you just go down to the next decimal place. In this example you count: .31, .32, .33, .34... and so on.
ls Figure A'B'C'D' a translation of Figure ABCD? (Click in the picture to see the rest
Answers
Answer:D
Step-by-step explanation: It is none of them because it is translated up one unit and then reflected across the y axis.
_ +18=5+41
What is the equation to finding the missing number
Answers
Answer:
28
Step-by-step explanation:
5+41= 46, so now subtract 46 to 18 and you get 28
To check 18+28=46 and 5+41=46
Answer:
Equação básica de segundo grau
Which shows the use of the associative property?
A. 7n + 1/5 = 1/5 + 7n
B. 7 + (1/5 + n) = (7 + 1/5) + n
C. 7(n + 1/5) = 7n + 5/7
D. (7 + 1/5) +n = 7 1/5 + n
Edugenity 2021
Common Core math
Answers
Answer:
B shows the associative property
A boat's value over time is given as the function f(x) and graphed below. Use A(x) = 400(b)x + 0 as the parent function. Which graph shows the boat's value decreasing at a rate of 40% per year?
Answers
Answer: I can't really tell you the answer because you didn't show the graphs...
Step-by-step explanation:
A boat's value over time is given as the exponential function f(x) = 400(0.6)ˣ
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Given that the boat's value decreasing at a rate of 40% per year, hence:
b = 100% - 40% = 60% = 0.6
A boat's value over time is given as the exponential function f(x) = 400(0.6)ˣ
Find out more on exponential function at: https://brainly.com/question/12940982
twice the amount of money you earned this summer minus three thousand
Money earned: $1,600
Answers
3,200-3,000= 200
answer: 200
Please help on these math problems and I will give brainliest and 45 points
Answers
Answer:
1. 24 laps on day 4
2. ___
3. 67
4. 10 Adults
5. 32
6. 18 people served
7. 5(x+9)
8. 50
9. 39
10. 15
11. 25
12. 2 x 5 x 5
13. GCF: 6 .... LCM: 180
14. ___
15. ___
16. x=49
17. m=10
18. r=27
19. 23
20. 72% < 7/8
Please answer both!!
Answers
(3x-4)^2=0
3x-4=0
3x=4
x=4/3
28. 9x^2-30x+26=1
9x^2-30x+26-1=0
9x^2-30x+25=0
(3x-5)^2=0
3x-5=0
3x=5
x=5/3
Joley is opening her first checking account as a teenager. She doesn’t have a job, so most of the income will be presents from birthdays and holidays. Bank A has an $8 monthly charge. Bank B charges 1% of the balance. Which account balance below will result in bank A being a better financial choice?
$750
$850
$650
$550
I’d like to get this question right pls try ur best my grade needs to get better and it’s my only chance
Answers
Answer: $850.
Step-by-step explanation: just subtract by 8 every month for account A and take away 1% from account b every month.
Answer:
Okay so after a bit more tie thinking im pretty sure its 850
Step-by-step explanation:
In order to obtain a linear relationship between predictor and response variable, you had to transform the response variable (Y) using a natural log transformation. After running the regression your estimate of the slope is 0.30011. Because you transformed the response variable the slope is no longer the change in Y, measured in the original units, per unit change in the predictor X. Using a simple mathematical expression you can still interpret the slope. Following the expression used in the lecture, the correct interpretation is now that this is a ___________change in Y per unit change in X. And the value of this change is __________
Answers
Answer:
Estimated average
0.30011
Step-by-step explanation:
Estimate of slope = 0.30011
Given that the transformed response variable possess a slope that is no longer the change in Y
The correct interpretation is now that this is an estimated average change in Y per unit change in X. And the value of this change is 0.30011
Can someone help me or explain how to find the missing value from the simple interest?
Answers
Amil has a recipe that calls for 2/3 cups of flour. Amil wants to make 4 1/2 times that recipe. How many total cups of flour does Amil need?
Answers
:)
Answer:
she will need 3 cups
Step-by-step explanation:
the total cups of flour Amil is 3 cups
10+4y=20
Help me and out the steps in please
Answers
Answer: 10+4y=20
4y= 10
y= 10/4
y= 5/2
Step-by-step explanation: above
Nora can do 70 push-ups in 2 minutes.
Luke can do 105 push-ups in 3 minutes. Do
these rates from a proportion? Explain.
Answers
Answer:
They can both do 35 push-ups per minute, with an equal ratio between them.
Step-by-step explanation:
Given that Nora can do 70 push-ups in 2 minutes, and Luke can do 105 push-ups in 3 minutes, to determine if these rates from a proportion the following calculation should be performed:
70/2 = X
35 = X
105/3 = X
35 = X
Therefore, they can both do 35 push-ups per minute, with an equal ratio between them.
I need the answer fast psl
Answers
Answer:
I think Ordered Pair
Step-by-step explanation:
Asappp plz..................................
Answers
Answer:
5 feet per second
Step-by-step explanation:
Given that,
X(seconds) 0 1 2 3 4
Y (feet) 0 1 4 9 16
We need to find the average rate of change between 1 seconds and 4 second.
X = 4-1 = 3 seconds
Y = 16 - 1 = 15 feet
We know that,
Speed = distance/time
So,
[tex]v=\dfrac{15}{5}\\\\v=5\ ft/s[/tex]
So, the correct option is (c).
Consider rolling dice and getting a total of 8. Find the probability if two dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places.) (You must provide an answer before moving to the next part.)
Answers
Answer:
[tex]Pr = \frac{2}{9}[/tex]
Step-by-step explanation:
Given
A roll of two dice
Required
Probability of getting a sum of 8
First, we list out the sample space
[tex]S =\{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6), (3, 1) (3, 2) (3, 3)[/tex][tex](3, 4) (3, 5) (3, 6), (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6),(5, 1) (5, 2) (5, 3) ,(5, 4) ,(5, 5) ,(5, 6),[/tex]
[tex](6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex]
The total is:
[tex]n(S) = 36[/tex]
From the sample space, the outcomes that give a sum of 8 are:
[tex]Sum =\{(2, 6), (3, 5),(4,4),(5,3),(6,2)\}[/tex]
The total is:
[tex]n(Sum) = 8[/tex]
So, the probability is:
[tex]Pr = \frac{n(Sum)}{n(S)}[/tex]
[tex]Pr = \frac{8}{36}[/tex]
[tex]Pr = \frac{2}{9}[/tex]
5) Beth is making brownies. She makes 5 batches of brownies on Saturda She uses 1/4 cup of butter in each batch. How much butter does Beth use O 5/4 or 1 1/4 O 6/4 05/20 071/4 Send me a copy of my responses
Answers
Answer:
the answer is 5/4. If you multiply 1/4 by 5 you get 1 1/4 which is the same as 5/4.
Wavelength and Frequency
A chord consists of notes that sound good together. the C major chord, starting at middle C, has the following frequencies:
C - 262 Hz
E - 330 Hz
G - 392 Hz
Determine the ratio of the frequency of G to C. Express the answer in a simple integer ratio. (Due to rounding the ratio will be approximate. )
a. 5 to 4
b. 3 to 2
c. 6 to 5
d. 9 to 8
Please select the best answer from choices provided
Answers
Answer:
B. 3 to 2
Step-by-step explanation:
I calculated it logically
The ratio of the frequency of G to C is 1.5. So, option b is correct.
What is meant by frequency ?Frequency of a wave is defined as the number of oscillations completed by the wave in one second.
Here,
The frequency of note G, f(G) = 392 Hz
The frequency of note C, f(C) = 262 Hz
The ratio of the frequency of G to C, r = frequency of G/frequency of C
r = f(G)/f(C)
r = 392/262
r = 1.496 approximately r = 1.5
Hence,
The ratio of the frequency of G to C is 1.5
To learn more about frequency, click:
https://brainly.com/question/30333783
#SPJ7
PLZ HELP I WILL MARK BRAINIEST (26+4) divided by 6 = w
Answers
Answer:
w = 5
Step-by-step explanation:
(26+4)=30, and 30/6=5, therefore, w = 5.
so (26+4) = 30
and 30/6=5
so the answer is w=5
. Mrs. Khan makes cookies for the school bake sale. She uses the equation c = 0.75x to determine the cost, c, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale?
A. 75 cookies per dollar
B. (0,0), (3, 2.25), (6, 4.25), (8,6.5)
c. 3/4 cookie per dollar
D. (0,0), (2, 1.5) (5, 3.75), (7,5.25)
Answers
Answer:
The answer is D.
Step-by-step explanation:
Acellus
Find the indicated side of the triangle.
b
45°
28
a
a =
Enter
Answers
Answer:
a = 28 / √2
Step-by-step explanation:
Isosceles triangle therefor a = b
use pythagorean theorem
a² + a² = c²
2a² = 28²
a² = 28² / 2
Take the square root of both sides
a = 28 / √2
Answer:
a = [tex]\frac{28}{\sqrt{2} }[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{28}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
a × [tex]\sqrt{2}[/tex] = 28 ( divide both sides by [tex]\sqrt{2}[/tex] )
a = [tex]\frac{28}{\sqrt{2} }[/tex]
If a car moves 12 km North,19 km east, and 12 km south, what is its displacement
Answers
Answer:
19 km east
Step-by-step explanation:
By going North 12 then south 12 the two cancel eachother out leaving only the eastern movement
Answer:
19 km, East
Step-by-step explanation:
I hope you get it right
HELP!! 10 MIN REMAINING.
How can scientists use a seismograph to determine the density and depth of earths layers.
Answers
Answer:
Scientists can tell by observing the seismic waves that are recorded all over the surface of the earth from distant earthquakes. The seismic waves are reflected (bounced off) layers of different density, and they are refracted (bent) when they enter layers of different density.
Answer:
here now you can give her brainliest
Step-by-step explanation:
X
If the edges of a rectangular prism are increased by a scale factor of 3, how will the volume change
O A. The new volume is 3 times the old volume,
B. The new volume is 9 more than the old volume.
O C. The new volume is 9 times the old volume,
D. The new volume is 27 more than the old volume,
O E. The new volume is 27 times the old volume,
Answers
9514 1404 393
Answer:
E. The new volume is 27 times the old volume
Step-by-step explanation:
If L, W, and H are the original length, width, and height, then the original volume is ...
V = LWH
The volume after the scale factor is applied is ...
V' = L'W'H' = (3L)(3W)(3H) = 27LWH = 27V
The new volume is 27 times the old volume.
What would this One be??
Answers
Answer:
the pre-image and the image are congruent
Step-by-step explanation:
Answer:
i think its c
Step-by-step explanation: