Answer:
Corey stepped back 59.71 feet
Step-by-step explanation:
Right Triangles
They are a special type of triangle where one of its internal angles is 90°. The basic trigonometric equations stand in this type of triangles. If x is the adjacent leg of a given angle , and y is the opposite leg to the same angle, then :
[tex]tan0= \frac{y}{x}[/tex]
We can solve for x to get
[tex]x = \frac{y}{tan0}[/tex]
Corey estimates the height of the tree to be 80 feet. This means we know y=80 and . Let's find the horizontal distance at which Corey is looking at the bald eagle:
[tex]x1 =\frac{80}{tan68}[/tex]
[tex]x1 = 32.32 feet[/tex]
Now Corey moves back to watch the very same tree at an elevation angle of 41°. The tree has the same height, so
[tex]x2 =\frac{80}{tan41}[/tex]
[tex]x2= 93.03 feet[/tex]
Now we can know the distance Corey walked back by subtracting both distances
correy stepped back 59.71 feet
The number of feets corey will step back to gain a better view of the bird is 54.72feet.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
here, we have,
Given that;
The height of tree=80feet
The angle of elevation to the bird from him=68°.
His estimated angle of elevation = 41°
Now,
Use trig to find x
then use trig to find x+y
Then subtract to find y
tan41°= 80ft/(80ft/tan65 + y)
80/tan65 + y = 80/tan41
y= 80/tan41 - 80/tan65
y= 54.72ft
Therefore, by trigonometry the answer will be 54.72feet.
Learn more about trigonometric;
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will received a 2% increase in pay, He was making $1,190/biweekly.
a. How much was his raise?
b. How much is he making now?
Answer:
A: His raise was $23.8
B: He is making $1213.8
Step-by-step explanation:
Do 1190 divided by 100 and your answer will be
11.9 which is 1%, then do (11.9 + 11.9) + 1190 which will equal 1213.8
a. Will's raise was the amount of $23.80. b. Will is now making $1,213.80 biweekly.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.
Will receive a 2% increase in pay, He was making $1,190/biweekly.
a. Will's raise was $23.80. This can be calculated by multiplying his original biweekly payments of $1,190 by 2% (0.02).
b. Will is now making $1,213.80 biweekly. This can be calculated by adding his raise of $23.80 to his original biweekly payments of $1,190.
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Find area of the triangle ABC with angle A = 71.273 degree, length b = 12.6 and length
C= 12.8. Write your answer round to the nearest tenths.
Answer:
im not sure if this is right or not but you can try it if you want
Step-by-step explanation:
A. 75.8 square units B. 76.4 square units C. 76.8 square units D. 79.4 square units
11). Miguel has $87,255 in a savings account that earns 9% interest per year in simple interest. To the nearest cent, how much will he have in 4 years? OA). $31,411.80 O B). $123,167.55 O C). $35,912.55 OD). $118,666.80
Answer:
[tex]A). \: \$31,411.80[/tex]
Step-by-step explanation:
[tex]s.i = \frac{p \times r \times t }{100} \\ \\ s.i = \frac{87255 \times 9 \times 4}{100} = 31,411.8[/tex]
Answer:A
Step-by-step explanation:
3.3.4 Practice: Angle Relationships in Triangles
Practice
Math 8 Sem 2
Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Answer the questions to find the measures of ∠2 and ∠3.
1. What is the measure of ∠4? Explain how you know.
Write your answer in the space below.
2. What is the sum of the measures of the angles in a triangle?
Write your answer in the space below.
3. ∠1 is in a triangle with ∠4 and a 53° angle. What is the sum of the measures of those two angles?
Write your answer in the space below.
4. What is the measure of ∠1? Explain.
Write your answer in the space below.
5. Find the measure of ∠2. Explain how you found its measure.
Write your answer in the space below.
6. What is the measure of ∠3? Explain.
Write your answer in the space below.
For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because
180 - 90 = 90
The sum of the three angles of any triangle is equal to 180 degrees.
Angle 2=127 because 180-53=127.
Angle 3=23 because 180-30-127=53
Angle 1=37 because 90-53=37
Angle 4=90
Angle 1+4=127
The measure of ∠1 is 125° .
Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46
Answer:
Good luck!
Step-by-step explanation:
Which is the way to express 10+12 as the product of the GCF and another sum?
Answer:
The answer is pretty simple it's 12+10
Step-by-step explanation:
Multiply and simplify. (4x−7)(x+5)
What is the answer?
Question 3 options:
5x−2
5x2+13x−35
4x2+13x−35
4x2+27x+35
Answer:
C) 4x^2 + 13x - 35
Step-by-step explanation:
(4x-7)(x+5)
4x × x + 4x × 5 - 7x - 7 × 5
4x^2 + 20x - 7x - 35
4x^2 + 13x - 35
What is the circumference of a circle with a radius of 14? Use 3.14 for Pi.
Answer:
87.92cm
Step-by-step explanation:
C=2pir
= 2×3.14×14
=87.92cm
Answer:
87.96
Step-by-step explanation:
C = 2πr
C = 2(3.14)14
C = 6.28(14)
C = 87.96
58 + 18 =
78-58=
335+415
Answer:
78
20
750
Step-by-step explanation:
a number x is greater than 7 graph line
I graphed this line below.
Start with an open dot on 7.
The reason we use an open dot is because x
does not equal 7, it is only greater than 7.
So from your open dot, draw an arrow to the right
to represent all numbers greater than 7.
Finally, state your answer in set notation if possible.
It is read as {x: x > 7}.
On a family vacation, Melissa's family drove 480 miles from Cincinnati,
Ohio to Charlotte, North Carolina. Her dad drove 35% of the way and her
mom drove 65% of the distance her dad drove. If her brother drove the
remaining miles, about how many miles did her mom, dad, and brother
each drive
Answer:Melissa's mom, dad, and brother each drove 312miles, 168miles and 0 miles respectively
Step-by-step explanation:
If Mellisa's dad drove 35% of the way
and Melissa's mum drove 65% of the way,
Then
Melissa's brother did not drive at all because
Miles covered by her dad = 35% x 480 = 0.35 x480= 168 miles
Miles covered by her mum= 65% x 480 = 0.65 x 480=312miles
her mom, dad, and brother each drove 312miles, 168miles and 0 miles respe ctively
Select all the expressions that are equivalent to 15 – 5x.
–5(x – 3)
3(5 – x)
–5(3 – x)
–3(–5 + 2x) + x
5(3 – x)'
Answer:
-3(-5+2x)+x
Step-by-step explanation:
First you have to use Distributive Property and multiply -5 and 2x by -3. you should have -6x+15+x. then you have to combine like terms but subtract -6x and x which gives us 5. your answer should be -5x+15. You can rearrange the answer to be 15 - 5x.
One of the legs of a right triangle measures 4 cm and the other leg measures 19 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
A2 + B2 = C2, so 4 squared + 19 squared = C2, 16 + 361 = 377. 377's square root is 19.4.
Step-by-step explanation:
The measure of the hypotenuse is 19.4 cm.
Given that, one of the legs of a right triangle measures 4 cm and the other leg measures 19 cm.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Let the measure of the hypotenuse be x.
Using Pythagoras theorem,
x² = 4² + 19²
⇒ x² = 16 + 361
⇒ x² = 377
⇒ x = √377
⇒ x = 19.4 cm
Therefore, the measure of the hypotenuse is 19.4 cm.
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if i buy 4m of cloth at N1.75 per m how much change shall I receive out of N10.00
Answer:
$3
Step-by-step explanation:
4 x 1.75 = $7
$10 - $7 =
$3
Hope that helps!
The amount of change you will receive after buying the cloth is N3.00.
What is function? Differentiate between equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that you bought 4m of cloth at N1.75 per meter.
The amount of change you will receive after buying the cloth is -
N10 - N(1.75 x 4)
N{10 - 1.75 x 4}
N{10 - 7}
N3.00
Therefore, the amount of change you will receive after buying the cloth is N3.00.
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How do you graph x>12
Answer:
socratic
Step-by-step explanation:
just use the app
Plz help me with math I am bad at it plzz
Answer:
c im pretty sure because im good at this
HELPPPPP I WILL GIVE U THE BRAINLEST!!!!
What is the diameter, if the circumference is 24? Round all answers to the nearest
hundredth.
2.16 with 6 repeated as a fraction
Answer: 13/6
Step-by-step explanation:
*NOTE* - 0.16666 is equavilent to 1/6
We can use the sum of fractions to write out the decimal:
We can see that 0.16666...is the fraction 1/6 therefore the decimal is
2.16666...= 2 + 1/6 = 13/6
- Hope this helps!
What is -1 - 9
Solve for 2x-4y =20
X=4
Answer:
So -1-9= -10
And if x =4 then 2(4)-4y=20
Y= -3
Step-by-step explanation:
2(4)-4y=20
8-4y=20
-4y=12
y=-3
Answer:
-1 - 9 = -10 &
y = -3
Step-by-step explanation:
2x - 4y = 20
2(4) - 4y = 20
8 - 4y = 20
-4y = 12
y = -3
good luck, i hope this helps :)
help pls the question is in screen shot below
Answer:
15 liters
Step-by-step explanation:
Answer:
107
Step-by-step explanation:
24/9=2.66666-Its a repeating decimal
2.666666...(40)=106.66666......
That is about 107 liters
<3 Good Luck
1+1+2+8+10-36-36%12845+86%29?
In AGHI, the measure of ZI=90°, HI = 1.1 feet, and IG = 7.5 feet. Find the measure of
ZG to the nearest tenth of a degree.
Answer: 8.3
Step-by-step explanation:
what fraction is equivalent to -1.25
Answer:
-5/4
Step-by-step explanation:
because 1/4 would be .25 so .25 x 5 = 1.25
and then just make it negitive
Answer:
Step-by-step explanation:
There are an infinite number of fractions which equal -1.25.
But for simplicity realize that this is equal to -1.25/1. Multiply the numerator and denominator by 4 to get
-5/4
Convert the equation to vertex form.
y = x2 – 8x + 10
Answer:
Step-by-step explanation:
y = (x² - 8x) + 10
Complete the square
coefficient of the x term: -8
divide it in half: -4
square it: (-4)² = 4²
use 4² to complete the square and keep the equation balanced:
y = (x²-8x + 4²) - 4² + 10
y = (x-4)² - 6
Answer:
y = (x - 4)² - 6
Step-by-step explanation:
use the 'completing the square' method:
x² - 8x + 10 = 0
x² - 8x + 16 = -10 + 16
(x - 4)² = 6
y = (x - 4)² - 6
Find the missing side in the right triangle. Round to the nearest hundredth.
14
9
х
Answer:
hope it helps it is donr by using pythogorous theorem
The third side of the right triangle is 10.72 unit.
What is Pythagoras theorem?Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.
Given, the side of right triangle is;
Let H be hypotenuse = 14
And P be perpendicular = 9
Then to find third side base be B,
we use the Pythagoras theorem;
(H)² = (P)²+(B)²
Rearranging,
(B)² = (H)² - (P)²
(B)² = (14)² - (9)²
(B)² = 196 - 81
(B)² = 115
B = 10.72 unit.
Therefore, the third side is 10.72 unit.
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Jollene’s starting balance on her credit card was $89.45, and she made purchases of $254.67 and $109.62 during the month. She also made a payment of $125. If the finance charge is 1.4% per month on the unpaid balance, find the new balance at the end of the month.
$328.74
$453.87
$429.63
$329.99
Answer:
329.99
Step-by-step explanation:
This is the right answer on the test
PLEASE HELP!!!!
angle A is complementary to angle B . The measure of angle A is(2x+5)^ The measure of angle B is twice the measure of angle A . Part A Write an equation that can be used to determine the value of . Enter the correct answer in the box
Answer:
angle A =90- angle B
angle A=(2x+5)
angle B =2x(let the angle A be x)
(2x+5)=90-2x
2x+5=90-2x
4x+5=90
4x=90-5
4x=85
x=85/4=21.25
angle A=2(21.25)+5=42.5+5=47.5
angle B =2(21.25)=42.5
You roll a die 8 times. What is the probability of rolling EXACTLY six fours?
Answer:
it should be did the math 1/5
57/4 × 1/6 = 57/24 =
57/24 = 19/8 (divide numerator and denominator by 3)
Hope this helps.
Q) 57/4 × 1/6 = 57/24 = ?
→ 57/4 × 1/6
→ 57/24 = 19/8
Therefore the final answer is,
→ 57/4 × 1/6 = 57/24 = 19/8
Victoria opens a saving account with $200. She earns 1.6% interest. How much will she have after 4 years?
Answer:
i think it is 212.8
Step-by-step explanation:
Answer: it’s 212.8
Step-by-step explanation:
Use equivalent ratios to complete each table. Fill in the blanks
Tables: 8 _ 16 _ _
Chairs: 32 16 _ _ _
Answer:
Step-by-step explanation:
8 4 16 ? ?
32 16 64 ? ?
i dont know the last two but here
