Answer:
437.3ft
Step-by-step explanation:
last of sines
a/sin(A) = b/sin(B) = c/sin(C)
sin(90) = 1
the angle between y and 500ft side is 90-29 = 61 degrees.
so,
x/sin(61) = 500/1 = 500
x = 500 × sin(61) = 437.3ft
In a triangle, value of [tex]x = 437.4[/tex] units (round to nearest tenth) using trigonometric ratio.
What is trigonometric ratio?"Trigonometric ratio is defined as in a right triangle the relation between the ratio of a sides of a triangle and the angle."
Formula used
[tex]sin\theta = \frac{opposite sides}{hypotenuse}[/tex]
[tex]cos\theta = \frac{adjacent sides}{hypotenuse}[/tex]
According to the question,
In a given right triangle ABC,
Hypotenuse [tex]=500 ft[/tex]
Opposite side [tex]= x ft[/tex]
Adjacent side [tex]= y ft[/tex]
As per the diagram drawn,
[tex]\angle BAC+ 29\° = 90\° \\\\\implies \angle BAC = 90\° -29\° \\\\\implies \angle BAC = 61\°[/tex]
Substitute the value in the above trigonometric ratio formula we get,
[tex]sin61\° = \frac{x}{500}\\\\\implies 0.8747 = \frac{x}{500}\\\\\implies x = 500 \ times 0.8747\\\\\implies x = 437.35 ft[/tex]
[tex]\implies x = 435.4 ft[/tex] (round to nearest tenth)
In trigonometric ratio [tex]cos\theta[/tex] we get,
[tex]cos61\° = \frac{y}{500}\\\\\implies 0.4848 = \frac{y}{500}\\\\\implies y= 500 \ times 0.4848\\\\\implies y = 242.2 ft[/tex]
Hence , In a triangle, value of [tex]x = 437.4[/tex] units (round to nearest tenth) using trigonometric ratio.
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How many solutions does y+x=5 5x+5y=25 have?
A) One
B) Infinitely Many
C) None
D) Two
Answer:
c. po dahil Wala po Dian Ang answer
Step-by-step explanation:
sana po makatulong
Which equation together with this equation below will give no solution?
y = 3x - 7
Group of answer choices
y=2x-5
2y=6x-14
y=3x+15
Mrs. Hill said that 30% of her students
made an A on the test last week. If 33
students made an A on the test, how many
total students does Mrs. Hill have? Record
your answer and fill in the bubbles. Be sure
to use the correct place value.
Benito has 2 pounds of ground turkey. He needs 1/4 pund to make 1 turkey burger. How many turkey burger can benito make
Answer:
8 turkey burgers
Step-by-step explanation:
1/4 x 8 = 2
There are 8 turkey burger can Benito make.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Benito has 2 pounds of ground turkey.
And, He needs 1/4 pound to make 1 turkey burger.
Now,
Let the number of turkey burger = x
Since, He needs 1/4 pound to make 1 turkey burger.
Hence, The number of turkey burger made by 2 pounds = 4 × 2
= 8
Thus, The number of turkey burger made by 2 pounds = 8
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Tamika was buying 12-packs of soda. Each pack cost $3.50. If she spent $49.00, how many 12-packs did she buy?
Answer:
Number of 12-packs = 14
Step-by-step explanation:
Cost Number of 12-packs
3.50 1
49.00 x
[tex]\frac{1}{x} = \frac{3.50}{49}\\\\1 \times 49 = 3.50 \times x\\\\\frac{49}{3.50} = x\\\\x = 14[/tex]
Number of 12-packs for $49 = 14
The number of Roberto’s baseball cards is ¾ the number of David’s cards If Roberto gives ½ of his cards to David, what will be the ratio of Roberto’s cards to David’s cards? please help me. I need it to step by step equations!!!!
Answer:
1/4, 0.25
Step-by-step explanation:
Answer:
3/11
Step-by-step explanation:
Let Roberto's cards be x.
Let David's cards be y
x = (3/4) y
Roberto gives half his cards away which is 1/2*(3/4) = 3/8
David's new amount after the gift = 1/2(3/4)y + y = 3/8y+y=3y/8+8y/8 = 11y/8
So the ratio is Roberto / David = (3/8) // (11/8)
Roberto to David = 3/8 // 11.8 which you now invert and multiply the denominator
Roberto to David = 3/8 * 8/11 = 3/11
Done on my cell.
Which of the following alternative energy technologies is most likely to be used to power a car?
a.
wind
b.
geothermal
c.
biofuel
d.
hydropower
Please select the best answer from the choices provided
A
B
C
D
Answer: c. biofuel
Step-by-step explanation: just took test
The best alternative energy technologies is most likely to be used to power a car is bio-fuel
What is Bio-Fuel?Bio-fuel is a type of fuel that is created quickly from biomass, as opposed to the lengthy natural processes that result in the development of fossil fuels like oil. Plants may be used to make biofuel, as well as home, commercial, and agricultural biowaste.
Given data ,
Any fuel that is made from biomass, or plant, algae, or animal waste, is referred to as a biofuel. Unlike to fossil fuels like petroleum, coal, and natural gas, biofuel is seen as a source of renewable energy due to the ease with which such feedstock material may be supplied.
In light of rising petroleum prices and growing concern about the role fossil fuels play in global warming, biofuel is frequently promoted as a convenient and ecologically friendly substitute for petroleum and other fossil fuels.
Hence , the alternative to power a car is bio-fuel
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can you help me with these problems i need them ASAP!!!!!!
Answer:look it up on quizlet its easier
Step-by-step explanation:
Mr. Alhammadi is shopping for school supplies with his children. Rashed selected 3 one-inch binders and 2 two-inch binders, which cost a total of 29 dirhams. Matar selected 5 one-inch binders and 2 two-inch binders, which cost a total of 35 dirhams.
Write a system of equations that represents the above situation.
I need help ASAP please :(
Answer:
3x + 2y = 29
5x + 2y = 35
Step-by-step explanation:
Let
x = cost of one-inch binders
y = cost of two-inch binders
Rasheed:
3x + 2y = 29 (1)
Matar:
5x + 2y = 35 (2)
3x + 2y = 29 (1)
5x + 2y = 35 (2)
Using elimination method, subtract (1) from (2)
5x - 3x = 35 - 29
2x = 6
x = 6/2
x = 3
Substitute x = 3 into (1)
3x + 2y = 29 (1)
3(3) + 2y = 29
9 + 2y = 29
2y = 29 - 9
2y = 20
y = 20/2
y = 10
Help Pls. Find the radius of Circle Q.
The radius of the given circle is 13 unit.
What is a chord of a circle?
The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.
What is radius of a circle?A radius is a measure of distance from the center of any circular object to its outermost edge or boundary.
What is Pythagoras theorem?Pythagoras theorem states that "the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides".
According to the given question
We have a circle with center Q and two chords AD and BC.
And, AD = 4x + 4 and BC = 6x -6
Since, both the chords are at the same distance from the center of the circle, so their lengths will same.
⇒ AD = BC
⇒ 4x + 4 = 6x -6
⇒ 4 + 6 = 6x -4x
⇒ 10 = 2x
⇒ x = 5
Therefore,
AD = 4x + 4 = 4(5) + 4 = 20 +4 =24
and, BC = 6x - 6 = 6(5) - 6 = 30 -6 = 24
Also, AP = AD/2 = 24/2 = 12
Now, in right angle triangle QPA we have
[tex]AQ^{2} =QP^{2} +AP^{2}[/tex] ( By Pythagoras theorem)
⇒ [tex]AQ^{2} = 5^{2} +12^{2}[/tex]
⇒[tex]AQ^{2} = 25 + 144[/tex]
⇒[tex]AQ^{2} = 169[/tex]
⇒[tex]AQ =\sqrt{169}[/tex]
⇒ AQ = 13
Hence, the radius of the given circle is 13 unit.
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Class A has 12 pupils and class B has 29 pupils.
Both classes sit the same maths test.
The mean score for class A is 52.
The mean score for both classes is 24.
What is the mean score (rounded to 2 DP) in the maths test for class B?
Answer:
The mean score in the maths test for class B was 12.41 points.
Step-by-step explanation:
Given that Class A has 12 pupils and class B has 29 pupils, and both classes sit the same maths test, and the mean score for class A is 52 while the mean score for both classes is 24, to determine what is the mean score in the maths test for class B the following calculation must be performed:
52 x 12 + X x 29 = 24 x (12 + 29)
624 + 29X = 24 x 41
624 + 29X = 984
29X = 984 - 624
X = 360/29
X = 12.41
Therefore, the mean score in the maths test for class B was 12.41 points.
which expression has the greatest value?
Answer:
2nd one
Step-by-step explanation:
Hope this helps,
Applepi101
Please help it is urgent in stuck #41
Answer:
84 degrees
Step-by-step explanation:
The two angles are supplementary (their sum is 180 degrees)
96 + b = 180
b = 180 - 96
b = 84
A vehicle travels a distance of 504 - 10+ 6 miles in + 2 minutes. The vehicle's speed is miles/minute.
Answer:
502
Step-by-step explanation:
504-10=494
494+6=500
500+2=502
answer 502
what is the value of r if 3r =243
Answer:
Making r the subject
r=243/3 = 81.
3r = 243
r = 243/3
r= 81
hope it helps you ♡♡
у
5 The scatter plot represents the weight of a bunch
of bananas baseli on the number of bananas in
the bunch. A trend line shows the relationship.
4
About how many pounds does the trend
line predict a bunch with 9 bananas
will weigh?
Weight (lb)
А
3.0
B.
3.5
4.0
X
2
6
8
10
D
4.5
Number of Bananas in Bunch
please help lolz , due in 10 min.. ill give brainly n a thanks. <3
10. 50+70=
Answer:
120. hope his helps.
Step-by-step explanation:
50 + 70 = 120
Math help plss screenshot below
Answer:
I think 23%
Step-by-step explanation:
Divide. Give the quotient and remainder.
1964÷8
what is the quotient?
what is the remainder?
Find the value of x
A.)9
B.)30
C.)21
D.)6
5x=3x+12
5x-3x=12
2x=12
x=6
fifty one students are in fifth grade.2/3 of the students walk to school every day and1/3 come on the bus. how many kids walk to school and how many ride the bus
Answer:
walk=34 bus =17
Step-by-step explanation:
51÷3=17 1/3 of 51=17 so add 17 and 17 togeter to get 2/3
Answer:
Step-by-step explanation:
total=51
2/3 walk
1/3 bus
[tex]\frac{2}{3}51=\frac{102}{3}=34 ~=>34~students ~walk\\\\\frac{1}{3}51=\frac{51}{3}=17~=>~17~students ~take~the~bus[/tex]
The volume of a pyramid that fits exactly inside a cube is 10 cubic feet. What is the volume of the cube? (5 points)
30 cubic feet
100 cubic feet
300 cubic feet
1000 cubic feet
Answer:
30 cubic feet
Step-by-step explanation:
volume of a pyramid is (l*w*h)=3
assuming it is a pyrmaid where l=w=h, volume = x^3/3 = 10
x^3=30
x=30^(1/3)
volume of a cube is l*w*h, with our assumption, that translates to x*x*x
Volume = 30^(1/3)*3 = 30 cubic feet
The volume of the cube, in relation to the given pyramid is: 30 cubic feet.
What is a Cube?Volume of a pyramid = 1/3(l × w × h)Volume of a cube = l × w × hRelating both volumes, we would have:
Volume of cube = 3(volume of pyramid)
Volume of pyramid is given as 10 cubic feet, therefore:
Volume of the cube = 3(10)
Volume of the cube = 30 cubic feet.
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i need the answers and the work plsss help
The area of the room is 147.5 square feet so Michelle's reasoning was incorrect.
Step-by-step explanation:
Step 1:
To calculate the area of the given room, we divide the unknown shape into known shapes.
The room's shape is made of 2 rectangles.
The area of a rectangle is the product of its length and its width.
One rectangle has a length of 10 feet and a width of 12 1/2 feet.
The other rectangle has a length of 15 - 10 = 5 feet and a width of 4 1/2 feet.
Step 2:
The area of the first rectangle = (10)(12 1/2) = (10)(12.5) = 125 square feet.
The area of the second rectangle (10)(4 1/2) = (5)(4.5) = 22.5 square feet.
The total area of the room = 125 + 22.5 = 147.5 square feet.
Answer:
147.5ft²
Step-by-step explanation:
10 × 12¹/₂ = 125
5 × 4¹/₂ = 22¹/₂
Total area = 125 + 22¹/₂
Total area = 147¹/₂ = 147.5
4-2(x+7)=3(x+5) solve the equation
Answer:
-5
Step-by-step explanation:
Our first step is to distribute/expand in the brackets so we are able to isolate x-term.
[tex] \large{4 - 2x - 14 = 3x + 15}[/tex]
I hope you still remember that when multiplying positive with negative, it becomes negative. Then we combine like terms - we isolate the 2x by adding 2x both sides and subtract both sides by 15.
[tex] \large{4 - 2x - 14 + 2x - 15 = 3x + 15 + 2x - 15} \\ \large{ - 25 = 5x}[/tex]
Then to divide both sides by 5 so we can finally get the x-term isolated.
[tex] \large{ \frac{ - 25}{5} = \frac{5x}{5} \longrightarrow - 5 = x}[/tex]
Dividing the negative by positive results in negative as well! Next step is optional, which is about checking the answer. To check the answer if it's right or not, we can do by substituting x = -5 in the equation and solve until these two outcomes may occur:
Both sides are different (Ex. 2 = 5). This means that the answer is not correct or not a part of the equation.Both sides are equal/same (Ex. 4 = 4). This means that the answer is correct and a part of the equation.[tex] \large{4 - 2(x + 7) = 3(x + 5)}[/tex]
From the given equation above, substitute the value of x which is -5 in the equation.
[tex] \large{4 - 2( - 5 + 7) = 3( - 5 + 5)}[/tex]
Evalute/Simplify:
[tex] \large{4 - 2(2) = 3(0) \longrightarrow 4 - 4 = 0} \\ \large \boxed{0 = 0}[/tex]
Since both sides are equal or same. Thus the solution to this equation is x = -5.
Answer
x = -5I hope this helps! If you have any doubts or questions, don't hestitate to ask in the comment! Good luck on your assignment and have a great day! :)
If you were to pick one day of the year at random, is it more likely that the day would be a Tuesday or that the day would fall during the month of January?
Answer and explain in your own words why you chose what you chose.
Answer: It's more likely it's a Tuesday
========================================================
Explanation:
The odds of it being a Tuesday is 1/7 since there's 1 day of the week that's Tuesday out of 7 total.
The odds of it being January is 1/12 because we have 1 month we want out of 12 total.
Now the question is: which fraction is larger?
For now, assume they are equal. We'll cross multiply like so
1/7 = 1/12
1*12 = 7*1
12 = 7
We get a false statement at the end, but we can fix things by replacing the equal sign with a greater than sign to get this new set of steps
1/7 > 1/12
1*12 > 7*1
12 > 7
which leads us to a true statement. Therefore, 1/7 is the larger fraction and the more likely event.
-----------------
Alternatively, you can use your calculator to find that:
1/7 = 0.143 approximately1/12 = 0.083 approximatelyThen for each decimal, move the decimal point 3 spots to the right. The values 0.143 and 0.083 become 143 and 83 respectively. We can see that 143 is larger, which means 0.143 is larger, and lastly 1/7 is larger. Think of it like a chain.
..help pls (if ur a hacker or scammer im gonna report you :))
Answer:
9,
Step-by-step explanation:
if you look at the pattern its just adding up all the numbers above so its nine
can somebody help me with explaining??
Answer:
the first one is 1.667
Step-by-step explanation:
5/3=1.667
10/6=1.667
and so on
Sorry i dont know the second one
What is m<1?
A. 24°
B. 26°
C. 28°
D. 52
Answer:
24
Step-by-step explanation:
Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)
<1 = 1/2(104-56)
<1 = 1/2(48)
<1 = 24
Answer:
A, you bad the correct answer
Step-by-step explanation:
^
HELP PLEASE >>>>>>>>>>>>>>>>>>>>>>
Answer:
A. [tex]\frac{2}{8}[/tex]
B. [tex]\frac{6}{6}[/tex]
C. [tex]\frac{8}{4}[/tex]
Step-by-step explanation:
For A pick a fraction that is less than a whole number.
For B pick a fraction that is a whole number.
For C pick a fraction that is greater than a whole number.
5x + 6y when x = 16, y = -9
Answer:
26
Step-by-step explanation:
5x+6y
substitute x=16 and y=-9:
5*16+6*(-9)
=80-54
=26