Answers
Answer:
[tex]\boxed {\boxed {\sf x\approx 63.7}}[/tex]
Step-by-step explanation:
This is a right triangle. We know this because there is a small square in the corner representing a 90 degree/right angle. Therefore, we can use the right triangle trigonometry ratios.
sinθ= opposite/hypotensue cosθ= adjacent/hypotenuse tanθ= opposite/adjacentWe are given angle A which measures 37 degrees.
Side BC which measures 48 is opposite angle A and the unknown side, x, is next to or adjacent to angle A.
We should use tangent.
[tex]tan \theta= \frac{opposite}{adjacent}}[/tex]
[tex]tan37= \frac {48}{x}[/tex]
Since we are solving for x, we must isolate the variable. First, cross multiply. Multiply the first numerator and the second denominator, then the first denominator and second numerator.
[tex]\frac {tan37}{1}=\frac {48}{x}[/tex]
[tex]tan37*x=48*1[/tex]
[tex]tan37*x= 48[/tex]
x is being multiplied by the tangent of 37. The inverse of multiplication is division, so we divide both sides by the tangent of 37.
[tex]\frac {tan37 *x}{tan37}=\frac{48}{tan37}[/tex]
[tex]x= \frac{48}{0.7535540501}}[/tex]
[tex]x=63.69815144[/tex]
Even though it is not specified, let's round to the nearest tenths place. The 9 in the hundredth place tells us to round the 6 up to a 7.
[tex]x\approx 63.7[/tex]
The unknown side is approximately 63.7 units long.
Related Questions
60 yd
63 yd
What is the length of the hypotenuse?
Answers
You need to square root 60^2 + 63^2
here's a pic pls helpp
Answers
Answer: your answer is B 3/4
Step-by-step explanation:
Hope this helps you! Have a great day! ^v^
Answer:
[tex]x = \frac{3}{4} [/tex]Step-by-step explanation:
[tex] \frac{x}{3} = \frac{1}{4} [/tex][tex]3 \times \frac{x}{3} = 3 \times \frac{1}{4} [/tex][tex]x = 3 \times \frac{1}{4} [/tex][tex]x = \frac{3}{4} [/tex]Hope it is helpful....There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?
Answers
Answer:
1,024 ÷ by how many number of rounds= x
Answer:
1,024(0.50)^x That is the answer......................................
PLEASE HELP 35 POINTS
Two sides of a right triangle measure 777 units and 333 units.
Answers
Answer:
58 units squared
Step-by-step explanation:
**I'm doing the question with the 7 by 3 triangle in the picture, not 777 by 333**
Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex], where c is the length of the hypotenuse.
The given sides are legs, therefore, [tex]3^2+7^2=c^2[/tex]
[tex]9+49=c^2; 58=c^2; c=\sqrt{58}[/tex]
c is also one of the sides of the square. A square's area is one of the sides' lengths squared, so:
[tex](\sqrt{58}) ^{2}=58[/tex]
Answer:
58
Step-by-step explanation:
We can use the Pythagorean theorem to find the area of the square for the third side.
The equation for the Pythagorean theorem is
a^2 + b^2 = c^2
where a and b are the lengths of the two legs of the triangle, and c is the length of the hypotenuse.
a^2 + b^2 = c^2
3^2+7^2=x^2
9+49=x^2
58=x^2
The area of the square for the third side of the triangle is 58 units^2 squared.
How to get an area for this shape
Answers
Answer:
A = 135 cm²
Step-by-step explanation:
The figure is composed of 2 triangles.
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
The total area is the sum of the area of both triangles
A = [tex]\frac{1}{2}[/tex] × 18 × 7 + [tex]\frac{1}{2}[/tex] × 18 × 8
= 9 × 7 + 9 × 8
= 63 + 72
= 135 cm²
The electrical resistance of a wire is directly proportional to its length.
A wire of length 10 feet has a resistance of 2 ohms.
ment
Part A
What is the resistance of a wire if its length is 25 feet?
20 ohms
6 ohms
50 ohms
5 ohms
10 ohms
ig
Part B
What is the length of a wire if its resistance is 8 ohms?
A
48 ft
4 ft
1.6 ft
32 ft
40 ft
Answers
Answer:
https://www.arlingtonschools.org/cms/lib/NY02215626/Centricity/Domain/5167/Skill39AK.pdf
Step-by-step explanation:
write the equation of the line that passes through the points (-9,-5) and (-2,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
(no links please)
Answers
Answer:
y= 8/7x+ 37/7 for the equation that the line passes
Answer:
y+5=8/7(x+9)
Step-by-step explanation:
Escribir un 1% como decimal
Answers
Answer:
0.01
Step-by-step explanation:
1% = [tex]\frac{1}{100}[/tex]
0.01
Simplify & Divide = 3÷4
[tex] \frac{1}{2} [/tex]
three divided by 4and 1/2
Answers
Answer:
3÷4 = 0. 75
1 ÷ 2 = 0 . 5
Step-by-step explanation:
3 ÷ 4 = 0 . 75
1 ÷ 2 = 0 . 5
43. Ricardo just received a shipment of 50 tool sheds for his garden supply store. Each shed costs him $40. Which of the following could Ricardo use to find the total amount he will pay for the tool sheds? A (5 X 4) X 10' = 200 B (5 X 4) X 102 = 2,000 C (5 X 4) X 10% = 20,000 D (5 x 4) X 10' = 200.000
Answers
Answer:
its the one with 2000$ in it
Step-by-step explanation:
Solve: Jackson earns $16 per hour. His expenses are $532 per month. Which
expression shows how much money he has left after his expenses? *
532x - 6
532x + 16
16x - 532
16x + 532
Answers
Answer:He works 40 hours each week at a rate of $16 per hour.
Step-by-step explanation:
PLEASE PLEASE HELP, AND SHOW WORK. IM LATE ON THIS
Answers
Answer:
D is the answer
Step-by-step explanation:
When 6 times a number, x, is added to 7, the result is equal to thirteen more than 7 times the same number, what is the value of x
Answers
Answer:
x = -7
Step-by-step explanation:
Seven times a number and seven is equal to six times a number.
Word problems can be tricky no matter what level of math or science you are in.
First look at the question for words that indicate mathematical symbols.
"times" indicates multiplication
"and" indicates addition
"a number" means we have a variable, x, to solve for
Now we can go from left to right and write it in a mathematical equation
7x + 7 = 6x
Then, solve for x
7x + 7 = 6x
7 = 6x - 7x
7 = -1x
7/-1 = x
x = -7
Finally, we check our work.
7x + 7 = 6x
7(-7) + 7 = 6(-7)
-49 + 7 = -42
-42 = -42 √
The answer is x = -7
Please Answer these ASAP Find the area.
1. Determine the value of the bases, b and B, used to determine the volume in the object below.
2. Find the area. The polygon is regular. Round answer to the nearest tenth
Answers
Answer:
polygon is regular. Round answer to the nearest tenth
Step-by-step explanation:
[tex]36 - 6 \times = \frac{ < \sqrt{ \geqslant \binom{ | |4)6300 \times - 9x55.90660606.. \sqrt{. \geqslant 522 \sqrt[25h \\ ]{?} \times \frac{?}{?} \times \frac{?}{?} } | | \times \frac{?}{?} }{?} } }{?} \times \frac{?}{?} [/tex]Price of bread was increased by 5% to a retail price of $3.57. What was the original price ?
Answers
Answer:
3.39
Step-by-step explanation:
A disinfectant spray bottle says it eliminates 90% of bacteria with each application. You apply the disinfectant once to a countertop in the shipping department and then apply the disinfectant again to the same countertop. If the bottle is correct, what percentage of the bacteria originally on the tabletop have been eliminated?
81%
90.09%
90.9%
99%
180%
Answers
hope this helps :)
how many sides do tahe polygon have?
Answers
Triangle - 3 Sides Square - 4 Sides
Pentagon - 5 Sides Hexagon - 6 sides
Heptagon - 7 Sides Octagon - 8 Sides
Nonagon - 9 Sides Decagon - 10 Sides
Answer:
Triangle 3
Quadrilateral 4
Pentagon 5
Hexagon 6
help me with this math question please I'm giving away brainliests
Answers
Answer:the first ans (f(x)=(1/x+2)+3
Step-by-step explanation:
Answer:
Its the first one
Step-by-step explanation:
f(x) = 1/x + 2 + 3
Solve for an angle in right triangles
Answers
Answer:
26°
Step-by-step explanation:
use the inverse trig functions (in this case, sin^-1)
sin^-1(4/9)
Answer:
26.39
Step-by-step explanation:
khan
i really need help ASAP!!
answer needs to be in simplest radical form.
find n.
Answers
Answer:
Step-by-step explanation:
You can use sen30° to solve it:
Since Sen=Opposite side / diagonal
Sen30° = OS/D
1 / 2 = x / [tex]2\sqrt{3}[/tex]
2x = [tex]2\sqrt{3}[/tex]
x = [tex]\sqrt{3}[/tex]
which number is closest to the value of √32
Answers
Answer:
5.65685424.
Step-by-step explanation:
Square Root of 32: √32 = 5.65685424...
Answer:6
Step-by-step explanation:
Solve the given proportion 3/4 6/x x=?
Answers
Answer:
X=8
Step-by-step explanation:
3×X =6×4
3X=24
X= 24÷3
X= 8
The equivalent value of the proportion is ( 3/4 ) = ( 6/8 ) and x = 8
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
( 3/4 ) = ( 6/x )
Multiply by x on both sides , we get
( 3/4 )x = 6
Divide by 3 on both sides , we get
( 1/4 )x = 2
Multiply by 4 on both sides , we get
x = 8
Hence , the proportion is ( 3/4 ) = ( 6/8 )
To learn more about proportion click :
https://brainly.com/question/7096655
#SPJ2
3x+2y=12 2x-3y=21 elimination please solve with answer and steps
Answers
Answer:
(6,-3)
or
x=6 y= -3
Step-by-step explanation:
Taking a quick look at this question we notice that we simply cannot add/subtract the two equations and eliminate a variable
What we can do is mulitply an equation to make the above true
let's try to get the first equation to have a 3y, and we can do this by multiplying it by 1.5 (this is legal because we do it to both sides)
So our new first equation is
1.5(3x+2y)=12*1.5
which simplifies to
4.5x+3y=18
We then add the two equatiosn
(4.5x+3y)+(2x-3y)=18+21
6.5x=39
x=6
Now that we know x we can plug that in and solve for y
3(6)+2y=12
18+2y=12
-6=2y
y= -3
If 18 percent of the beads in a bag are green, 25 percent are red and 40 percent are purple. What is the probablity of choosing a green bead then a red bead
Answers
Answer:
[tex]P(G\ then\ R)=0.045[/tex]
Step-by-step explanation:
From the question we are told that:
Percentage of Green beads [tex]P_g=18[/tex]
Percentage of Red beads [tex]P_r=18[/tex]
Percentage of Purple beads [tex]P_p=18[/tex]
Therefore
Probability of choosing a Green bead is
[tex]P(G)=0.18[/tex]
Probability of choosing a Red bead is
[tex]P(R)=0.25[/tex]
Generally the equation for choosing a green bead then a red bead is mathematically given by
Since Outcomes are independent
[tex]P(G\ then\ R)=0.18*0.25[/tex]
[tex]P(G\ then\ R)=0.045[/tex]
the cylindrical part of an architectural column has a height of 320 cm and a diameter of 30 cm. find the volume of the cyndrical part of the coulmn . use 3.14 for and round your answer to the nearest cubic centimeter if needed.
Answers
Answer: 226,080 cm^3
Have a great day.
One cube has a volume of 192 cm3, and another has a volume of 375 cm3. How much longer is the edge of the larger cube than that of the smaller cube?
Answers
Answer:
134
Step-by-step explanation:
Please help with this thanks
Answers
Joshua buys a book that is on sale for 2/5 off. What is the percent of discount for the price of the book?
Answers
Answer:
$129.00 is the correct answer
Step-by-step explanation:
..
If x = 36 when y = 40 and x varies directly as y, what is x when y = 80?
Answers
x = 72
Help me out please???
Answers
Answer:
it's an equilateral triangle, so all the angles will be equivalent.
2x + 2x + 2x = 180
6x = 180
x = 30°
Answer:
30
Step-by-step explanation:
So, the solve this, lets first find the type of traingle it is.
Well, all the sides are equal, beign 3, so it must be a equalaterial triangle.
This means both the sides and angles will be the same.
Remember, there are 180 degrees in a triangle.
So we can think of it like this, since there are 3 angles, each being 2x:
6x=180 degrees
Now we can just get x alone by divide by 6:
x=30
So your answer is 30!
I hope this helps! :)