Lesson 17
Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
Hypotenuse = 14.5 meters
Opposite side = 6.3 meters
θ = ?
The measure of the angle (θ) is equivalent to sin⁻¹(6.3/14.5).
What is Pythagoras theorem?The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. Mathematically, it can be written as -
(hypotenuse)² = (base)² + (perpendicular)²
Given is a right angle triangle with hypotenuse as 14.5 meters and
opposite side as 6.3 meters.
We can write sine of the angle (θ) as -
sin(θ) = P/H
sin(θ) = Opposite side/Hypotenuse
sin(θ) = 6.3/14.5
(θ) = sin⁻¹(6.3/14.5)
Therefore, the measure of the angle (θ) is equivalent to sin⁻¹(6.3/14.5).
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find the exact value of the expressions
Answer:
here is your correct answer and listen question no four option are incorrect
helppppppppppppppppppp
Answer:
Angle × =180 - 126
Angle × = 54
What is the type of tax paid when you buy a new pair of blue jeans?
A) sales tax
B) income tax property tax
C) property tax
D) pay roll tax
Answer:
It's sales tax I believe
help with these please!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. 1/3 and 3
2. 4 and 4
Step-by-step explanation:
Step-by-step explanation:
Solution 1 :-
> Scale = 12/4 = 3 .
> x/ 9 = 4/12
> x = 1/3 × 9
> x = 3 in .
Solution 2 :-
> Scale = 8/2 = 4
> y / 1 = 8/2
> y = 4 ft .
Super-Mart sells a pack of 20 Pokemon cards for $1.30. Another store, Price-Town, sells a pack of 15 Pokemon cards for $1.05. Which store is offering the better deal
Answer:
Price-Town
Step-by-step explanation:
:D
The circumference of a circle is 22 meters. What is the approximate
diameter of the circle?
A 7 meters
B 11 meters
C. 19 meters
D. 69 meters
A man can do 1/2 part of a work in 1 hour 50 minutes. How many
hours and minutes does he take to complete the whole work?
Answer:
3 hours and 40 minutes.
Step-by-step explanation:
To make it easier, we can first convert 1 hour 50 minutes to all minutes. 1 hour is 60 minutes, so it would be 110 minutes.
The problem tells us that 1/2 of the work takes 110 minutes, and we need to find the amount of time it takes to complete the entire work.
1/2 is well, half of a whole. That means it is 50% done, and 50% takes 110 minutes to complete. The other 50% then, would ALSO take 110 minutes, as it is the same. Therefore, since there are two sets of 110 minutes, it would be 110*2, giving us 220 minutes, or 3 hours and 40 minutes.
Math XL for School Practice X
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8-9; MathXL for School: Practice & Problem Solving
Due 05/11/21
X8.9.PS-14
Question Help
2 cm
A glass bead has the shape of a rectangular prism with a smaller rectangular
prism removed. What is the volume of the glass that forms the bead?
2am
6cm
7 cm
6 cm
(The figure is not to scale)
The volume of the glass that forms the bead is cm3,
Answer:
224 cm³Step-by-step explanation:
Required volume is:
6*6*7 - 2*2*7 = 224 cm³1.
(01.01 LC)
Subtract 28.9 − 9.25 =
19/65
(1 point)
2.
(01.01 C)
When adding 32.6 to a certain number, the sum is 36.14, as seen below. What number should go in the box to complete the addition problem?
The decimal 32.6 is added to an unknown whole number and 54 hundredths to equal 36.14.
(1 point)
36.14
3.
(01.02 LC)
Multiply 11.9 × 22.1. (1 point)
2.6299
2,629.9
262.99
26.299
4.
(01.03 LC)
What is the remainder when 16,055 is divided by 16? (Input numeric values only) (1 point)
10,03 and the remainder is 7
5.
(01.03 MC)
What is the quotient of 52.7 ÷ 4.25? (1 point)
1.24
12.4
13.28
132.8
6.
(01.05 MC)
Gracy has fraction 4 over 5 pound of bird seed. She needs fraction 3 over 10 pound to feed the birds daily. Which of the rectangle models below shows how many days' worth of seed Gracy has left? (1 point)
Rectangle model divided into five equal sections, four sections are labeled four-fifths and three sections are labeled three-tenths, equaling one and one-half days.
Rectangle model divided into ten equal sections, five sections are labeled four-fifths and three sections are labeled three-tenths, equaling one and two-thirds days.
Rectangle model divided into five equal sections, four sections are labeled four-fifths and two sections are labeled three-tenths, equaling two days.
Rectangle model divided into ten equal sections, eight sections are labeled four-fifths and three sections are labeled three-tenths, equaling two and two-thirds days.
7.
(01.06 HC)
Jessica used Fraction 2 over 3 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 3 over 4 yards of fabric, and why? (1 point)
Yes, because the quotient of Fraction 1 and 3 over 4 ÷ fraction 2 over 3 is 2 and 5 over 8
No, because the quotient of Fraction 2 over 3 ÷ Fraction 1 and 3 over 4 is 1 and 2 over 12
No, because the quotient of Fraction 1 and 3 over 4 ÷ fraction 2 over 3 is 1 and 2 over 12
Yes, because the quotient of Fraction 2 over 3 ÷ Fraction 1 and 3 over 4 is 2 and 5 over 8
8.
(01.07 MC)
A right rectangular prism has these dimensions:
Length − Fraction 1 and 1 over 4 units
Width − Fraction 5 over 8 unit
Height − Fraction 3 over 4 unit
How many unit cubes of side length Fraction 1 over 8 unit are required to pack the prism without any gap or overlap? (1 point)
60
75
150
300
9.
(02.01 MC)
A fish tank has black and white fish in the ratio of 2 to 6 as shown below:
2 black fish and 6 white fish are shown
Which is another ratio that can describe the black to white fish? (1 point)
1 to 5
5 to1
1 to 3
3 to 1
10.
(02.02 MC)
Tim mixed 2 parts vinegar and 5 parts water to make a cleaning liquid. How many parts of vinegar did Tim mix with each part of water? (1 point)
one over ten
one over five
two over seven
two over five
11.
(02.03 LC)
Victor made different flags that had the same ratio of the length to the width. The table below shows the length and width of the flags Victor made:
Length (centimeter)
Width (centimeter)
3
2
6
4
9
6
12
8
?
10
The missing value in the table is
centimeters. (1 point)
12.
(02.03 MC)
The ratio of the number of cookies to the number of candies in different gift boxes is 5:7. Which table best shows the number of cookies and candies in different gift boxes? (1 point)
Cookies
Candies
5
12
10
24
15
36
Cookies
Candies
2
7
10
35
12
42
Cookies
Candies
10
14
15
21
20
28
Cookies
Candies
11
13
14
16
18
20
13.
(02.03 MC)
A printer printed 68 letters in 4 seconds. If it prints letters at a constant speed, it can print
letters in 30 seconds. (1 point)
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What is the value of c when -120 = -10c
Answer:
12
Step-by-step explanation:
-120 = -10c
12 = c
Answer:
c = 12
Step-by-step explanation:
The problem is multiplying a number, in this case c, by -10 to get -120. So, you would preform the opposite operation, which is division.
[tex]\frac{-120}{-10} =\frac{-10c}{-10}[/tex]
12 = c
A triangular fence has sides that measure 11 yards, 30 yards, and 35 yards. What is the measure of the greatest angle that is formed? Round to the nearest whole degree.
Answer:
108°
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]35^{2}[/tex] = [tex]11^{2}[/tex] + [tex]30^{2}[/tex]
[tex]\frac{204}{-660}[/tex] = [tex]\frac{-660 cos}{-660}[/tex]
cos = -0.309
The measure of the greatest angle in the triangular fence is approximately 108.5 degrees. To find the measure of the greatest angle in the triangular fence, you can use the Law of Cosines.
The Law of Cosines states:
[tex]c^2 = a^2 + b^2 - 2ab * cos(C)[/tex]
where c is the side opposite the angle C, and a and b are the other two sides of the triangle.
In this case, the sides of the triangle are:
a = 11 yards
b = 30 yards
c = 35 yards
Now, let's find the measure of angle C (the angle opposite the side with length 35 yards):
[tex]c^2 = a^2 + b^2 - 2ab * cos(C)\\35^2 = 11^2 + 30^2 - 2 * 11 * 30 * cos(C)\\1225 = 121 + 900 - 660 * cos(C)\\1225 = 1021 - 660 * cos(C)\\[/tex]
Now, isolate cos(C) by moving the terms around:
[tex]660 * cos(C) = 1021 - 1225\\660 * cos(C) = -204[/tex]
Now, divide by 660 to find cos(C):
[tex]\cos(C) \approx -0.3091[/tex]
Now, find the measure of angle C by taking the inverse cosine (cos^-1) of -0.3091:
[tex]C \approx cos^-1(-0.3091)\\C \approx 108.5 degrees[/tex] (rounded to one decimal place)
Since this is the angle opposite the side with length 35 yards, it is the greatest angle in the triangle.
So, the measure of the greatest angle in the triangular fence is approximately 108.5 degrees.
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The first term of a linear sequence is 3 and the 8th term is 31. find the common difference
Answer:
The common difference is 4.
Step-by-step explanation:
[tex]a_n=a_1+(n-1)d[/tex] You get to term number n by starting with term number 1 and adding the common difference d n-1 times.
[tex]a_1=3\text{, and }a_8=31[/tex]
[tex]a_8=a_1+(8-1)d\\\\31=3+7d\\\\28=7d\\\\d=4[/tex]
Use the square root method to find the solutions to the quadratic equation 22
- 80.
Write your answers separated by a comma. Make sure to simplify.
Answer:
[tex]x = 2\sqrt{2}, -2\sqrt{2}[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 8 = 0[/tex]
Required
Solve
We have:
[tex]x^2 - 8 = 0[/tex]
Add 8 to both sides
[tex]x^2 = 8[/tex]
Take square roots of both sides
[tex]x = \±\sqrt{8}[/tex]
Expand
[tex]x = \±\sqrt{4*2}[/tex]
This gives:
[tex]x = \±2\sqrt{2}[/tex]
Split
[tex]x = 2\sqrt{2}, -2\sqrt{2}[/tex]
The diameter of a circle has endpoints P(-6,-11 ) and Q(4, 7). Write an equation for the circle. Be sure to show and explain all work. Thank you!
Answer:
(x + 1)^2 + (y + 2)^2 = 106
Step-by-step explanation:
The formula for a circle is
(x - h)^2 + (y - k)^2 = r^2
Where (h, k) is the center of the circle and r is the raadius
--------------------------------------
The center is the midpoint of the diameter end points
(h, k) = ( (-6 + 4)/2 , (-11 + 7)/2 )
(h, k) = (-1, -2)
The radius is the distance from the center to an endpoint
Using (h, k) and Q
r^2 = (4 - -1)^2 + (7 - -2)^2
r^2 = 5^2 + 9^2
r^2 = 106
-------------------------------
Plug into the circle formula
(x + 1)^2 + (y + 2)^2 = 106
write the equation in it's simplest form or as
[tex] \sqrt[n]{b} [/tex]
[tex] \sqrt[3]{56} [/tex]
9514 1404 393
Answer:
2∛7
Step-by-step explanation:
Putting the expression in simplest form will factor cubes from under the radical.
[tex]\displaystyle\sqrt[3]{56}=\sqrt[3]{2^3\cdot7}=\boxed{2\sqrt[3]{7}}[/tex]
Question below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇
Please answer ALL questions in order for BRAINLIEST! NO links or else you will be reported and maybe even get banned.
Answer:
1) draw a line from (2,4) to (6,4)
2) 27.5
3) 16
4) 43.5
5) $97.88
Step-by-step explanation:
1) draw a line from (2,4) to (6,4)
2) (7+4)/2=5.5x5=27.5
3) 4x4=16
4) 27.5+16=43.5
5) 43.5x2.25= 97.875 = $97.88
Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 30 mm and the height of the pyramid is 18 mm. To get the wax for the candle, Devin melts blocks of wax that are each 8 mm by 6 mm by 5 mm. How many of the wax cubes will Devin need in order to make the candle? Show all formulas and calculations used to arrive at your answer
9514 1404 393
Answer:
23
Step-by-step explanation:
The volume of the square pyramid with base of side length s and height h is ...
V = 1/3s²h
V = 1/3(30 mm)²(18 mm) = 5400 mm³
The volume of a block of wax is ...
V = LWH
V = (8 mm)(6 mm)(5 mm) = 240 mm³
Then the number of blocks of wax required for a candle is ...
(5400 mm³/candle)/(240 mm³/block) = 45/2 blocks/candle
The candle is equal to the volume of 22.5 blocks of wax. We presume Devin will want to melt whole blocks, so ...
Devin needs 23 blocks of wax to make the candle.
Sally can paint a room in 3 hours while it takes Steve 6 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
2h
Step-by-step explanation:
You can solve this one by adding their rates, but you have to invert the numbers they give you to find the rate. Rate is measured in something per unit of time, and "per" indicates division. So the rates are: 1/3 of an hour (Sally) and 1/6 of an hour (Steve). So add the rates: 1/3 + 1/6 = 1/2. (1/3 is 2/6, and 2/6 + 1/6 = 3/6). Since their combined rate is 1/2 of a room in one hour, it takes them two hours to paint the room.
Can someone please tell me the answer
Answer:
E, 5, 3
Step-by-step explanation:
We just need to connect the rectangle with dots equally placed.
A women went to Shopping.First she spent 4/5th of all money she had in her purse, and then she lost 2/3 of what was remaining. Now she has 10$ left. How much money did she spent?
The amount of money that was spent is $120.
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.
In this case, the women went to Shopping and first she spent 4/5th of all money she had in her purse, and then she lost 2/3 of what was remaining.
The fraction of money left will be:
= 1 - 4/5 - (2/3 × 1/5)
= 1 - 4/5 - 2/15
= 1/15
Since she had $10 left the original amount will be:
= $10 ÷ 1/15
= $10 × 15
= $150
The amount spent will be:
= 4/5 × $150
= $120
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The difference of two numbers is 3. Their sum is 13.
Answer:
8 and 5
Step-by-step explanation:
Solve for a : 2.8=14a
Answer:
a=0.2
Step-by-step explanation:
Let's solve your equation step-by-step.
2.8=14a
Step 1: Flip the equation.
14a=2.8
Step 2: Divide both sides by 14.
14a/ 14 = 2.8/ 14
a=0.2
Answer:
a=0.2
Jorge gives 3 chocolate bars to his friend. HE GIVES 1/12 OF CHOCOLATE BAR TO EACH FRIEND. HOW MANY FRIENDS DOES HE GIVE A PIECE OF CHOCOLATE TO
Please help me solve
Answer:
The number of shuttles completed successfully is recorded as the score of that runner. The score is recorded in Level. Shuttles format (e.g. 9.5). The maximum laps on the PACER test is 247, which former Central Middle School student Dennis Mejia achieved, the only person to ever reach such a level.
Step-by-step explanation:
Diana owns 82 acres of forest land in Oregon. She rents it to a timber grower for $ 232 per acre per year. Her property taxes are $ 39 per acre. How much profit does she make on the land each year?
Answer:
she makes 15826 $ each year
I meet a boy and asked about his age,he said he don't know his age but his age is half of the age of his mum and who is five years lest than his Father. The total age of the three is one hundred,now how old will each be the son,mother and the father if there overall age is hundred years?
Answer:
i had a stroke while reading this
Step-by-step explanation:
Answer:
son: 19
mother: 38
father: 43
Step-by-step explanation:
x + 2x + 2x+5 = 100
5x = 95
x = 19
Assuming a soap bubble is a perfect sphere, what is the diameter of a bubble containing 500 cm of air, to the nearest tenth of a centimeter?
Answer:
9.8 cm
Step-by-step explanation:
Volume of a sphere, V = 4/3 πr³
V = 500cm³
π = 3.14
500 = 4/3 * 3.14 * r³
500 * 3 = 4 * 3.14 * r³
1500 = 12.56r³
r³ = 1500 / 12.56
r³ = 119.42675
r = (119.42675)^1/3
r = 4.9245574
Diameter = 2r
Diameter = 2 * 4.9245574
Diameter = 9.849
= 9.8cm
cant figure out what sin 40 - sin 20=
Answer:
sin 40 - sin 20 = 0.3007674664 approximately
Step-by-step explanation:
We cannot write the given expression in exact form, so you have to use the calculator, which works out to be 0.3007674664 approximately.