Answers
Answer:
He Melanie , use SOH CAH TOA to remember the trig functions
Step-by-step explanation:
for 14 they hyp = 22 and we know one angle of 45°, we also know that the triangle has a right angle or 90° and by inspection we can tell that the other angle is also going to be 45° so we know X and Y will be the same length, is why this is a good observation.
Use one of the trig functions with H in it b/c you know Hyp is 22, so,
SOH = Sin(Θ)= Opp / Hyp
Sin(45) = Opp / 22
Sin(45) * 22 = Opp
[tex]\sqrt{2}[/tex] / 2 * 22 = opp
11*[tex]\sqrt{2}[/tex] = opp is the exact answer, if you would like some decimal places, it's 7.7781 units, both X and Y
for 15 we can use SOH again for the bigger triangle. we know the Hyp is 24 and the angle is 30°
Sin(30) = Opp / 24
Sin(30) *24 = Opp
12 = Opp ( Because I know Sin(30) = 1/2 )
Opp is the upright between the two triangles
Use CAH Cos(Θ) = Adj / Hyp
Cos(30) = Adj / 24
Cos(30) * 24 = Adj
[tex]\sqrt{3}[/tex] /2 *24 =Adj
12[tex]\sqrt{3}[/tex] = Adj
Z = 12[tex]\sqrt{3}[/tex] or if you want some decimals 20.7846
Becasue the smaller triangle is also a 45° right triangle we know that the upright and side Y are the same lengths
then
Y = 12
You could use SOH or CAH to find the Hyp but, lets just resort to Pythagoras, and use his formula to find Hyp
Hyp = [tex]\sqrt{12^{2} +12^{2} }[/tex]
Hyp = [tex]\sqrt{288}[/tex]
hyp = 16.97
X = 16.97
:)
Related Questions
Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)
√(12) - √(27)
Answers
[tex]\sqrt{12} - \sqrt{27}\\\\=\sqrt{4 \times 3} - \sqrt{9 \times 3}\\\\=2\sqrt 3 - 3\sqrt 3\\\\=-\sqrt 3[/tex]
PLEASE HELP! 5TH GRADE MATH, PLEASE GIVE BRAINLIEST!
Answers
Answer: 1 divided by 7
Step-by-step explanation: fraction bar is equal to division
Answer:
C or D but mostly D because the fraction is 1 into 7 and D is dividing 1 into 7 so if correct please consider brainliest
<3
Step-by-step explanation:
How many ways can Caroline choose 6 courses of any type? How many ways can Caroline choose 6 courses of any type?
Answers
Answer:
6 ways she can choose a course
Which rule represents the table's (down below) values?
A) y=3x+1
B) y=2x+11
C) y=3x-1
D) y=4x-15
X Y
12 35
13 38
14 41
15 44
16 47
Answers
Answer:
C
Step-by-step explanation:
Substitute the x-values into the the equation y=3x-1 and they will all give you the same y-values that are given in the table.
Over the last 50 years, the average temperature has increased by 2.5 degrees worldwide. What is the rate of change in worldwide temperatures per year?
Answers
Answer:
the answer should be 0.05 degrees every year
rate brainliest
what is the answer ?
Answers
Answer:
19/60 or .317
Step-by-step explanation:
C = 95/300
95/300 = 19/60
19/60 = .317
Use the Pythagorean theorem to solve for d. Enter the answer in simplest form.
Need help ASAP!
Answers
Answer: 12 units
Step-by-step explanation:
Since this is a "special" right triangle with congruent legs. We can multiply 6[tex]\sqrt{2}[/tex] by [tex]\sqrt{2}[/tex] to find the length of d.
6[tex]\sqrt{2}[/tex] * [tex]\sqrt{2}[/tex] = 12
d = 12
Answer:
d = 12
Step-by-step explanation:
multiply 6√2 by √2
since they are congruent angles (angles that have equal measure).
Sydney’s cat is 8% heavier than Greg’s cat, and Jackie’s cat is 25% lighter than Greg’s cat. By what percent is Sydney’s cat heavier than Jackie’s?
PLEASE HELP!!!
Answers
Answer:
look at the attached image
0.8 cm
6 cm
Surface area of a cylinder
Answers
A=2πrh+2πr2
A≈34.18 if radius is .8
A≈256.35 if radius is 6
I need help with this what do these symbols mean
Answers
Answer:
the star is 4 and the moon shaped is 7
Step-by-step explanation:
the stars have to be an equal amount and 1 plus moom= the 2 stars that have the same amount
and 3+4 = 7
so if you do 7+1 = 4+4
A surfer paddles out past breaking waves, rides a wave, paddles back out past the breaking waves, rides another wave back to the beach. Draw a sketch of a graph (with labels) that shows the surfer's possible distance from the beach over time. Show work
Answers
Answer:
Past the waves to the beach
Step-by-step explanation:
They never went past the breaking waves that much and started at the beach
what unit is beat yo use in measuring the vulome of water in a rectangular pool?
Answers
Answer: An example is m³
Step-by-step explanation: Volume in a rectangular pool is length multiplied by width multiplied by height. Whatever the unit of these three parameters are, the volume will be raised to a cube. It it is metres, then volume will be m³
y = (3x)2 + 17
when x = 2
Answers
Answer:
y = 29
Step-by-step explanation:
y = (3x)2 + 17
y = (3(2))2 + 17
y = (6)2 + 17
y = 12 + 17
y = 29
round answer to nearest hundreth
Answers
Answer:
10
Step-by-step explanation:
∠A ≅ ∠ _____. .A m .B n .C c .D AB
Answers
Answer:
M
Step-by-step explanation:
Option A M is answers
I hope it helped you
A salad dressing is made by mixing oil and vinegar in the ratio 7:2. Joshua makes 900ml of salad dressing. How much oil does he use?
Give your answer in millilitres (ml)
Answers
The answer to this question is 700 ML
Tiana lives 5/8 mile away from school. She walks halfway to school. How many
miles does she walk?
Answers
Answer:
5/16 mile
Step-by-step explanation:
5/8 * 1/2 = 5/16 mile
What two integers does sqrt41 fall between? explain reasoning
Answers
Answer:
Below!
Step-by-step explanation:
Given square root:
[tex]\sqrt41[/tex]
Let's note a few perfect square roots.
[tex]1 = \sqrt{1 \times 1} = \sqrt{1}[/tex]
[tex]2 = \sqrt{2 \times 2} = \sqrt{4}[/tex]
[tex]3 = \sqrt{3 \times 3} =\sqrt{9}[/tex]
[tex]4 = \sqrt{4 \times 4} =\sqrt{16}[/tex]
[tex]5 = \sqrt{5 \times 5} =\sqrt{25}[/tex]
[tex]6 = \sqrt{6 \times 6} =\sqrt{36}[/tex]
[tex]7 = \sqrt{7 \times 7} =\sqrt{49}[/tex]
[tex]8 = \sqrt{8 \times 8} =\sqrt{64}[/tex]
And so on...
When looking at the perfect square roots we identified, we can say that:
[tex]\sqrt{36} < \sqrt{41} < \sqrt{49}[/tex]
Therefore,
[tex]6 < \sqrt{41} < 7[/tex]
We can conclude that [tex]\sqrt{41}[/tex] is between 6 and 7.
Let's check the squares of first 10 number
1²=12²=43²=94²=165²=256²=367²=498²=649²=8110²=10041 lies between 36 and 49
Hence
√41 lies in between 6 and 7What are the solutions of the following system? startlayout enlarged left-brace 1st row x squared y squared = 25 2nd row 2x y = 25 endlayout (0, –5) and (–5, 5) (0, –5) and (5, –15) (0, –5) and (–4, 3) (0, –5) and (4, –13)
Answers
The quadratic equation has no real roots. This means the line and point has no point of intersection.
System of equationsSystem of equations are equations that is more than one and have two or more unknowns.
Given the simultaneous equation
x^2 + y^2 = 25
2x + y = 25
from equation 2;
y = 25 - 2x ................3
Substitute equation 3 into 1 to have:
x^2 + (25-2x)^2 = 25
x^2 + 625 - 100x + 4x^2 = 25
5x^2 -100x + 600 = 0
x^2 -20x + 120= 0
Hence the quadratic equation has no real roots. This means the line and point has no point of intersection,
Learn more on system of equation here: https://brainly.com/question/25976025
Answer:
C on edge
Step-by-step explanation:
(0,-5) and (-4,3)
.
Which of the following is the reciprocal 1/5 of ?How do I know if my answer is correct ? Please help me to solve this ! I really need help! Please heeeeelllllllpppppppp!
Answers
Answer:
5
Step-by-step explanation:
Repreical means opposite, so, 1/5 x 5 would equal one, thats a reciproal
Answer:
5
Step-by-step explanation:
The reciprocal of 1/5 would be 5. To find the reciprocal of a number, swap the numerator and the denominator.
One angle of a parallelogram measures 20 what are the measures of the other three angles in the parallelogram
Answers
Answer:
160°, 20° and 160°[tex] \: [/tex]
Step-by-step explanation:
Let us assume A, B, C and D are the four angles of the parallelogram. Where, ∠A = 20° and we have to find the measure of ∠B, ∠C and ∠D
So, If ∠A = 20°, then So, also ∠C = 20°.
[Opposite angles of a parallelogram are equal to each other]Therefore,
The measure of ∠C is 20°⠀
And, ∠A and ∠B are adjacent angles. We know,
Sum of two adjacent angles = 180°So,
⇒ ∠A + ∠B = 180°
⇒ 20° + ∠B = 180°
⇒ ∠B = 180° – 20°
⇒ ∠B = 160°
So,
The measure of ∠B = 160°⠀
So, If ∠B = 160°, then So, also ∠D = 160°.
[Opposite angles of a parallelogram are equal to each other]Therefore,
The measure of ∠D is 160°The image shows a circle with center (4,6) and radius 10 units.
Answers
Answer:
A, B, D, E
Step-by-step explanation:
Every point is on the circle except for the middle one
The points lying on the circle will be (-4, 12), (-6, 6), and (4, 16). Then the correct options are A, B, and E.
What is the equation of a circle?Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,
(x - h)² + (y - k)² = r²
The center is at (4, 6) and the radius is 10 units. Then the equation of the circle is calculated as,
(x - 4)² + (y - 6)² = 10²
(x - 4)² + (y - 6)² = 100 .......1
Substitute (-4, 12) in equation 1, then we have
(-4 - 4)² + (12 - 6)² = 100
100 = 100
Substitute (-6, 6) in equation 1, then we have
(-6 - 4)² + (6 - 6)² = 100
100 = 100
Substitute (13, 10) in equation 1, then we have
(13 - 4)² + (10 - 6)² = 100
97 ≠ 100
Substitute (-4, 12) in equation 1, then we have
(4 - 4)² + (16 - 6)² = 100
100 = 100
If the equation is satisfied, then the point lies on the circle.
More about the equation of the circle link is given below.
https://brainly.com/question/10618691
#SPJ2
If an investor has a $5,000 pretax return, the state tax rate is 4.5%, and the federal tax rate is 22.0%, what is the real investment value? $1,325 $3,675 $3,900 $4,775
Answers
Based on the given parameters, the real value of the investment is $3675
How to determine the value of the investment?From the question, the given parameters about the investment are:
Pretax return = $5,000
State tax rate = 4.5%
Federal tax rate = 22.0%
The real value of the investment is calculated using the following formula
Real investment value = Pretax return - [(Pretax return * State tax rate) * Pretax return * Federal tax rate)]
Substitute the given values in the above equation.
Real investment value = 5000 - [(5000 * 4.5%) + (5000 * 22.0%)]
Evaluate the products
Real investment value = 5000 - [225 + 1100]
Evaluate the sum in the above equation
Real investment value = 5000 - 1325
Evaluate the difference in the above equation
Real investment value = 3675
Hence, the real value of the investment is $3675
Read more about tax at:
https://brainly.com/question/9437038
#SPJ1
Answer:3675
Step-by-step explanation:
the length of the rectangle is 4cm more than it's width.if the perimeter is 20cm. find the width
Answers
Answer:
3 cm
Step-by-step explanation:
The given relation between length and width can be used in the perimeter formula to find the width.
__
Let w represent the width of the rectangle in centimeters. The length is 4 cm more, so can be represented by (w+4). Using these values and the given perimeter in the perimeter formula, we find ...
P = 2(L +W) . . . . . perimeter formula
20 = 2((w +4) +w) . . . . known values substituted
10 = 2w +4 . . . . . . . . divide by 2, collect terms
6 = 2w . . . . . . . . . subtract 4
3 = w . . . . . . . . divide by 2
The width of the rectangle is 3 cm.
__
Additional comment
The length is 7 cm.
It’s due soon l don’t understand what to do
Answers
Answer:
38.4895
Step-by-step explanation:
area of circle = pi * r^2
3.142 * 7^2 = area of the whole circle
as we only have 1/4 of the circle we divide our area by 4
(3.142 *7^2) / 4 = 38.4895
Answer:
38.4895
Step-by-step explanation:
basically you are finding a quarter of the area of the circle. So the formula is 1/4πr^2
so that's 3.142×7^2 and then divided by 4.
hope this helps
It is recommended that people eat
20,000 mg of fiber each day. Julie ate a
cup of strawberries that had 4 grams of
fiber and a cup of oatmeal that had 5
grams of fiber. How many more grams of
fiber does she need to get the
recommended daily amount of fiber?
Answers
Answer:
First you have to convert MG to G, 1 Gram is equal to 1,000 Milligrams. If Julie has eaten a total of 9 Grams of fiber, she would need to eat 11 Grams more to get her recommended amount of Fiber
Step-by-step explanation:
1. Convert Mg to G
2. Add the amount of Grams she has already eaten.
3. Subtract the sum from twenty and multiply the difference by 1,000.
A simple random sample is drawn from a normally distributed population, and when making a statistical inference about the population mean, the margin of error is found to be 5.9 at a 95% level of confidence. if the mean of the sample is 18.7, what is the 95% confidence interval for the population mean? 18.7 ± 5.9 18.7 ± 9.7 18.7 ± 11.6 18.7 ± 15.2
Answers
If the mean of the sample is 18.7, The 95% confidence interval for the population mean is 18.7 ± 11.6.
Confidence intervalz-score for 95% confidence interval =1.96
Lower limit of the interval:
Lower limit=Sample mean-(Z-score×Margin of error)
Lower limit=18.7-(1.96×5.9)
Lower limit=18.7-11.564
Lower limit=18.7-11.6 (Approximately)
Upper limit of the interval:
Upper limit=Sample mean+(Z-score×Margin of error)
Upper limit=18.7+(1.96×5.9)
Upper limit=18.7+11.564
Upperr limit=18.7+11.6 (Approximately)
Hence:
Confidence interval= 18.7 ± 11.6
Therefore the 95% confidence interval for the population mean is 18.7 ± 11.6.
Learn morer about confidence interval here:https://brainly.com/question/15712887
Answer:
18.7 ± 11.6
Step-by-step explanation:
The answer above is correct.
7j+8s=455 what do j and s equal?
Answers
Answer:
[tex] \sf \: j= \frac{−8}{7}s+ \frac{445}{7} , \sf \: s= \frac{−7}{8}j+ \frac{445}{8} [/tex]
Step-by-step explanation:
[tex] \sf \: Let's solve for j. \\ \sf \: 7j+8s=445 \\ \sf \: Step 1: \: Add \: -8s \: to \: both \: s ides. \\ \sf \: 7j+8s+−8s=445+−8s \\ \sf \: 7j=−8s+445 \\ \sf \: Step \: 2: \: Divide \: both \: sides \: by \:7. \\ \sf \frac{7j}{7}= \frac{−8s+445}{7} \\ \sf \: j= \frac{−8}{7}s+ \frac{445}{7} \\[/tex]
HELPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
a. square pyramid b. sphere d.triangular pyramid
Answer: a= Square Pyramid, b= Sphere, d= Triangular Pyramid
Step-by-step explanation:
Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.
18° and 39°
23° and 67°
43° and 47°
65° and 25°
Answers
Answer:
B
Step-by-step explanation:
Remark
The angle opposite the hypotenuse is 90 degrees. The hypotenuse is 13 in this case and is labeled c.
The second longest line is opposite the second largest angle
Sin(A) = opposite / hypotenuse
Solution
Sin(A) = 12 / 13 = Opposite / hypotentenuse
opposite = 12 12 is the second longest linehypotenuse = 13Sin(A) = 0.9231 12/13 = 0.9231
A = sin-1(0.9231) Take the inverse sine of 0.9231
A = 67 rounded
Therefore then angle opposite the shortest side must be 90 - 67 = 23
Answer: 67 and 23