In a right triangle ∠A = 32° with an adjacent side of 44 what is the length of the opposite side, x?
Answers
Answer: About 27.49
Step-by-step explanation:
You use the laws of tangent within a triangle to find x:
[tex]tan(32)=\frac{opposite}{adjacent}= \frac{x}{44}\\ \\x=44*tan(32)=27.49425...[/tex]
Related Questions
Mrs. Thomas had 18 cups of popcorn. She wanted to separate them into bags that were cup bags. How many bags can she make?
Answers
Answer:
the answer would be 3 bags of 6
Spencer has a wooden post that is five and three sevenths feet long. He cut two and one half feet off the post. What is the length of the remaining post in feet?
Answers
Answer:
2 13/14 feet
Step-by-step explanation:
The remaining length is the difference between the starting length and the amount cut off:
5 3/7 - 2 1/2 = (5 -2) +(3/7 -1/2) = 3 +((3·2-7·1)/(7·2)) = 3 -1/14
= 2 13/14 . . . feet remaining
_____
Additional comment
Addition and subtraction of fractions can be accomplished using a formula that does not rely on finding a least common denominator. In this case, the denominators have no common factors, so their product is, in fact, the least common denominator.
[tex]\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}[/tex]
Answer:
3 and five fifthteenths or 3 and 4/9
Step-by-step explanation:
i think so.........
What is the slope of the line through (-10, 1) and (0, -4)?
Answers
Answer:
-1 / 2.
Step-by-step explanation:
The Slope of a line when given two points:
First establish the two points as (X1, Y1) and (X2,Y2)
you can decide which point is (X1, Y1) and which point is (X2,Y2) in any order
So I choose (X1, Y1) = (-10,1) and (X2,Y2) = (0,-4)
Next use this equation to find the difference in rise/run (rise over run): (Y2 - Y1) / (X2 - X1)
Now we're ready to solve by plugging in our points: ( (-4) - 1 ) / ( 0 - (-10) ) **DON'T FORGET negatives attached to numbers when plugging in**
Solve: (-5) / 10 = -5 / 10 or -1 / 2 reduced by taking out a 5 from top and bottom. So your slope is equal to -1 / 2.
Answer:
-1/2
Step-by-step explanation:
someone should help me with this question
Answers
Answer:
option c.)
Step-by-step explanation:
m∠1 + m∠3 = 180°
asap please
what is the slope of the following line
Answers
Its 1/-2, or in other words it is -(1/2), so it would be the third option you have there.
Your welcome! :D
Out of all the multiple choice which one is true for this diagram
Answers
b. gh is a perp. bisector .
Beeswax used in making candles is produced by honeybees produce 7 pounds of honey for each pound of wax they produce. How many pounds of honey is produced if 145 pounds of beeswax
Answers
Answer:
1,015
Step-by-step explanation:
7 pounds of honey equals 1 pound of wax
So if we have 145 pounds of was, we multiply 145 by 7
145x7= 1,015
Which of the following graph of the compound inequality 4p+1>-7 and 6p +3 < 33
Answers
Step-by-step explanation:
The first inequality has solution
4p > -8 . . . . . . subtract 1
p > -2 . . . . . . . divide by 4
This is graphed as an open dot at -2, with shading to the right.
Neither inequality symbol includes "or equal to", so both dots are open dots. The appropriate choice is the first one:
a number line with open circles at negative 2 and 5 with shading in between
hope that help mark me brinilylist
What is the perimeter and area of this shape
Would help if you explained why
Will give brainliest
Answers
Answer:
area: 133.5 m²perimeter: 52.02 mStep-by-step explanation:
AreaThe area of each trapezoid can be found using the relevant formula:
A = 1/2(b1 +b2)h . . . . b1, b2 are the base lengths; h is the height
For the top trapezoid, the height is 13 m-7 m = 6 m, so the area is ...
A = 1/2(8 m +5 m)(6 m) = 39 m²
The area of the bottom trapezoid is ...
A = 1/2(10 m +17 m)(7 m) = 94.5 m²
The area of the shape is the sum of the areas of the two trapezoids.
area = 39 m² +94.5 m² = 133.5 m² . . . . area of the figure
__
PerimeterThe horizontal lengths are all marked, but the slant lengths are not. There are no angles or other information given that can help determine the slant lengths. In order to answer the question, we can assume that the trapezoids are isosceles. Then the base of the right triangle shown in the top trapezoid is (8 -5)/2 = 1.5 m. The height is 6 m. The Pythagorean theorem tells us the slant length is ...
s1 = √(1.5² +6²) ≈ 6.1847 . . . . meters
Similarly, the base length of the right triangle shown next to the bottom trapezoid is (17 -10)/2 = 3.5 m. The height is 7 m. The slant length of that one is ...
s2 = √(3.5² +7²) ≈ 7.8262 . . . . meters
__
The perimeter is the sum of the lengths of the sides. Note that the 17 m dimension includes 8 m that are not part of the boundary of the figure. The sum of lengths of the horizontal edges is ...
10 m +(17 -8 m) +5 m = 24 m
The sum of the lengths of the slant edges is ...
2·s1 +2·s2 = 2(6.1847 +7.8262) ≈ 28.02 . . . . meters
The perimeter of the figure is the sum of horizontal lengths and slant lengths:
24 m + 28.02 m = 52.02 m . . . . perimeter of the figure
Calculate the speed of a car that travels 50 km (kilometers) in 30 min (minutes). Question 1 options: 1. 6 km/min (kilometers per minute) 1. 6 miles/hour 1,500 km/min (kilometers per minute) 1,500 miles/hour.
Answers
The speed of this car is equal to 1.6 km/min.
Given the following data:
Distance = 50 kilometers.Time = 30 minutes.To calculate the speed of this car:
Speed can be defined as the distance travelled by an object per unit time and it is usually measured in meter per seconds (m/s). Also, speed has magnitude but no direction and as such it is a scalar quantity.
Mathematically, speed is given by the formula;
[tex]Speed = \frac{distance}{time}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Speed = \frac{50}{30}[/tex]
Speed = 1.6 km/min.
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Please help me solve this problem ASAP
Answers
Hope this helps!
Find the value of 3a^2+2b, If a=3 and b = 4.
An explanation would be great.
Answers
Answer:
=35
Step-by-step explanation:
3(3) ^2 + 2(4)
= 3(9) + 8
= 35
Where you see a, substitute with 3 and where you see b, substitute with 4
Just follow the steps above.
[tex]\\ \sf\Rrightarrow 3a^2+2b[/tex]
[tex]\\ \sf\Rrightarrow 3(3)^2+2(4)[/tex]
[tex]\\ \sf\Rrightarrow 3(9)+8[/tex]
[tex]\\ \sf\Rrightarrow 27+8[/tex]
[tex]\\ \sf\Rrightarrow 35[/tex]
what does 2/6 - 6/12 equal in fractions pleeeeeaaaase.
Answers
Because you would divide 6/12 by 2 on each number
Answer: -1/6
You can multiply 2/6 by 2 to get 4/12 which you can subtract from 6/12.
4/12 - 6/12 = -2/12 which you can simplify further to get -1/6
Write all permutations of the letters E, F, G, and H if the letters F and G must remain between the letters E and H. (Enter your answers as a comma-separated list of four letter combinations. For example, the combination "C,D,E,F" should be entered as CDEF.)
Answers
Answer:
EFGH, HFGE, EGFH, HGFE
Step-by-step explanation:
Solve:
1. Square both sides of the equation.
2. Expand the left side. (3 − k)(3 − k) = 3k + 1
3. Multiply 9 − 6k + k2 = 3k + 1
4. Write the quadratic equation in standard form. k2 − 9k + 8 = 0
5. Factor the quadratic equation. (k − 8)(k − 1) = 0
6. Use the zero product property.
The solutions to the quadratic equation are
.
The true solution(s) to the radical equation
Answers
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
The given equation is:
[tex]3-k=\sqrt{3k+1}[/tex]
Square both sides of the equation
[tex](3-k)^2=3k+1[/tex]
Expand the left side of the equation above
[tex](3-k)^2=3k+1\\\\(3-k)(3-k)=3k+1\\\\3^2-3k-3k+k^2=3k+1\\\\9-6k+k^2=3k+1[/tex]
Write the quadratic equation in standard form
[tex]k^2-6k-3k+9-1=0\\\\k^2-9k+8=0\\\\[/tex]
Factor the quadratic equation
[tex](k-8)(k-1)=0[/tex]
Use the zero product property
k - 8 = 0
k = 8
k - 1 = 0
k = 1
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
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answer
first one: 8 and 1
second one: is 1
Step-by-step explanation:
slay
I dont get it, pls help me
Answers
Answer:
B
Step-by-step explanation:
Each tick = + or - 2 depending on which quadrant and axis
So the first line (the slanted one) intersects the y axis at (0,5) and continues until (2,5)
Then the line becomes straight (the y remains constant) from (2,5) (the points x value is 2) to (2,10) (the points x value is now 10)
Solve the equation.
a-6=13
Answers
Answer:
a=19
Step-by-step explanation:
In this equation you want to solve for a
In this case you simply add 6 to 13 because -6 is attached to the a on the left side and you want a on it's own.
a - 6 = 13
+6 +6 (-6+6 = 0) (6+13=19)
a = 19
5 1/28=1/2p+5 4/7
Please help!!
Answers
Answer:
p = (-15)/14
Step-by-step explanation:
Solve for p:
5 + 1/28 = p/2 + 4/7 + 5
Put 5 + 1/28 over the common denominator 28. 5 + 1/28 = (28×5)/28 + 1/28:
((28×5)/28 + 1/28) = p/2 + 4/7 + 5
28×5 = 140:
140/28 + 1/28 = p/2 + 4/7 + 5
140/28 + 1/28 = (140 + 1)/28:
((140 + 1)/28) = p/2 + 4/7 + 5
140 + 1 = 141:
141/28 = p/2 + 4/7 + 5
Put each term in p/2 + 4/7 + 5 over the common denominator 14: p/2 + 4/7 + 5 = (7 p)/14 + 8/14 + 70/14:
141/28 = ((7 p)/14 + 8/14 + 70/14)
(7 p)/14 + 8/14 + 70/14 = (7 p + 8 + 70)/14:
141/28 = ((7 p + 8 + 70)/14)
Grouping like terms, 7 p + 8 + 70 = 7 p + (70 + 8):
141/28 = (7 p + (70 + 8))/14
70 + 8 = 78:
141/28 = (7 p + 78)/14
141/28 = (7 p + 78)/14 is equivalent to (7 p + 78)/14 = 141/28:
(7 p + 78)/14 = 141/28
Multiply both sides of (7 p + 78)/14 = 141/28 by 14:
(14 (7 p + 78))/14 = (14×141)/28
(14 (7 p + 78))/14 = 14/14×(7 p + 78) = 7 p + 78:
(7 p + 78) = (14×141)/28
14/28 = 14/(14×2) = 1/2:
7 p + 78 = 141/2
Subtract 78 from both sides:
7 p + (78 - 78) = 141/2 - 78
78 - 78 = 0:
7 p = 141/2 - 78
Put 141/2 - 78 over the common denominator 2. 141/2 - 78 = 141/2 + (2 (-78))/2:
7 p = (141/2 - (78×2)/2)
2 (-78) = -156:
7 p = 141/2 + (-156)/2
141/2 - 156/2 = (141 - 156)/2:
7 p = ((141 - 156)/2)
141 - 156 = -15:
7 p = (-15)/2
Divide both sides by 7:
p = ((-15)/7)/2
2×7 = 14:
Answer: p = (-15)/14
two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goes 8km due east, then rides due south for 15km. The second rider goes 8km due west, then changes directions and rides 20 degrees west of due north for 15km. Both riders have been traveling for 23km, but which one is further from the parking lot?
Answers
Applying the required rule or theorem, it can be concluded that the second biker is farther from the parking lot. The distance of the bikers to the parking lot are:
i. First biker = 17.0 km
ii. Second biker = 20.22 km
The path of travel of both bikers would form a triangle. Applying the Pythagoras theorem to the path of the first biker would give his distance from the starting point. While applying the cosine rule to the path of second rider would gives his distance to the starting point.
Thus,
a. To determine the distance of the first biker from the parking lot.
Let the required distance be represented by x. Applying the Pythagoras theorem, we have:
[tex]hyp^{2}[/tex] = [tex]adj 1^{2}[/tex] + [tex]adj 2^{2}[/tex]
[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]15^{2}[/tex]
= 64 + 225
= 289
x = [tex]\sqrt{289}[/tex]
= 17
x = 17 km
Thus, the first biker is 17.0 km from the starting point.
b. To determine the distance of the second biker from the parking lot.
Let the required distance be represented by x. So that applying the cosine rule, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]15^{2}[/tex] - 2(15*8) Cos (180 - 20)
= 64 + 225 - 240 Cos 160
= 289 - 240 * -0.5
[tex]x^{2}[/tex] = 289 + 120
= 409
x = [tex]\sqrt{409}[/tex]
= 20.2237
x = 20.22 km
Thus, the second biker is 20.22 km from the starting point.
Therefore, the second biker is farther from the parking lot.
A sketch of the path of travel for the two bikers is attached for more clarifications.
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In the rectangle below,
Answers
Answer:
EI = FI and EG is twice the length of EI. Try setting up algebraic equations 3x + 8 = 6x -4 to find the value of x. Then substitute it back into the equation to find the length.
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Consider this expression.
9/4x2 - 12x + 7x/x^2 - 9
The least common denominator of the two rational terms is ( )( )( )
Answers
The answer is in the image attached. I hope it is helpful.
The least common denominator of two given rational expression are 4x, (x-3) and (x+3).
What is the least common denominator of two rational terms?
The factored denominator of two rational terms are called least common denominator of two rational numbers.
How to find the least common denominator of two rational terms?To find the least common denominator of two rational terms, we factor the expression and multiply all the distinct factors.
According to the given question
We have two rational expressions
[tex]\frac{9}{4x^{2} -12x}[/tex] and [tex]\frac{7x}{x^{2} -9}[/tex]
Now let's factorize the denominators
[tex]4x^{2} -12x =4x(x-3)[/tex]
and, [tex]x^{2} -9=(x+3)(x-3)[/tex]
Therefore,
[tex]\frac{9}{4x^{2} -12x}+\frac{7x}{x^{2} -9}[/tex]
⇒[tex]\frac{9}{4x(x-3)} +\frac{7x}{(x-3)(x+3)}[/tex]
⇒[tex]\frac{9(x+3)+7x(4x)}{4x(x-3)(x+3)}[/tex]
Therefore, the least common denominator of two given rational expression are 4x, (x-3) and (x+3).
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In a scale drawing, 3 millimeters represents 17 meters. Exactly how many millimeters represents 55 meters?
Answers
Work Shown:
(3 mm)/(17 m) = (x mm)/(55 m)
3/17 = x/55
3*55 = 17*x
165 = 17x
17x = 165
x = 165/17
x = 9.706 approximately
Side note: I used the cross multiplication rule for the third step.
. If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?
Answers
If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?
✍ Answer:>> If the class has 30 students and 20 girls then;
Boys = (30 - 20 = 10)>> Therefore;
Percentage that are boys = (no.of boys/total students) x 10010/30 * 100 = 33.3%#CarryOnLearning
- Happy Holidays -
The percentage of boys in the class is 33.3%
If the class has 30 students and 20 girls then;
Boys = (30 - 20 = 10)
Percentage that are boys = (no.of boys/total students) x 100
10/30 * 100 = 33.3%
What's percent in math?The percentage is a relative fee indicating the hundredth component of any amount. One percentage (symbolized 1%) is one centesimal part; as a result, 100 percent represents everything and 2 hundred percent specifies twice the given amount. percentage. associated subjects: mathematics percentile.
Multiply the number by means of 100. If you are required to convert a decimal number like 0.57 to a %, you simply multiply it through one hundred. that is 0.57 x 100 = 57. therefore, 0.57 as a percent equals 57%.
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Find the area of the rhombus
Answers
2 aria rombusului după volum este pq2 cea a unghiului este împărțită cu 2 care este pq=x pătrat
find the volume of this prism
Answers
Answer:
264 cm³
Step-by-step explanation:
Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute?
6 miles ÷ 30 minutes
30 minutes ÷ 6 miles
6 miles ÷ 1 minute
30 minutes ÷ 1 mile
Answers
Answer:
30/6 is correct
Step-by-step explanation:
Mrs. Adenan sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair. Which expression correctly applies the distributive property to show equivalent expressions for the total number of bracelets she sold?
63 + 36 = (3) (21) + (9) (4)
63 + 36 = (7) (9) + (12) (3)
63 + 36 = 9 (7 + 4)
63 + 36 = 3 (21 + 9)
Answers
Answer:
if im correct the answer is 63 + 36 = 9 (7 + 4)
Step-by-step explanation:
Answer:
The guy above was correct! I hope people see this so that they can trust the provided answer above.
Step-by-step explanation:
Victoria kicked a soccer ball laying on the ground. It was in the air for 5 seconds before it hit the ground. While the soccer ball was in the air, it reached a height of approximately 15 feet. Assuming that the soccer ball height (in feet) is a function of time (in seconds), what is the domain in the context of this problem?
Answers
Answer:
the Domain would be represented by Time in this problem, since time can only be positive, the domain would start at zero seconds and end at 5 seconds when the soccer ball hits the ground.
Step-by-step explanation:
Ricky has seven dollars and one cent.
How is that amount written using a dollar sign?
Answers
Answer:
$7.01
Step-by-step explanation:
Answer:
$7.01
Step-by-step explanation:
You have seven whole dollars, which goes before the decimal point, then your cents go behind the decimal point.
A 4-oz. filet of salmon contains 500 mg of potassium. The daily recommended amount of potassium is 3,500 mg. If you ate a 6-oz. filet of salmon, what percent of your daily value did you eat of potassium?
A. 21%
B. 15%
C. 25%
D. 12%
