Answer:
x = 49.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan x = 14/12
Taking the inverse tan of each side
tan ^-1 ( tan x) = tan ^-1 (14/12)
x =49.39870535
x = 49.4
Answer:
x = 49.4
Step-by-step explanation:
It's right triangle , so we can use trigonometry functions
tan θ = opposite side / adjacent side
tan x = 14 / 12
Taking inverse tan of each side
[tex] \small \sf \leadsto \: tan { }^{ - 1} (tan \: x \: ) = tan \: {}^{ - 1} ( \frac{14}{12}) \\ [/tex]
x = 49.39870535
Round nearest tenth of degree = 49.4
Which of the following is a factor of x3 + 2x2 - 25x – 50?
Answer:
(x - 5)(x + 2)(x + 5)
Step-by-step explanation:
x³ + 2x² - 25x - 50
x³ + 7x² - 5x² - 35x + 10x - 50
x(x² + 7x + 10) - 5(x² + 7x + 10)
(x - 5)(x² + 7x + 10)
(x - 5)(x² + 2x + 5x + 10)
(x - 5)(x(x + 2) + 5(x + 2))
(x - 5)(x + 2)(x + 5)
determine the equation of the line with slope 3/4 passing through the point 4,0
Answer:
[tex]y = \frac{3}{4}x - 3[/tex]
Step-by-step explanation:
If it has a slope of 3/4, then it will look like this:
[tex]y = \frac{3}{4}x + b[/tex]
If it passes through (4, 0), than y = 0 when x = 4
[tex]y = \frac{3}{4}(4) + b[/tex]
[tex]y = 3 + b[/tex]
[tex]b = -3[/tex]
Therefore, the equation is [tex]y = \frac{3}{4}x - 3[/tex].
Gus has a fish tank that holds 4710 inches^3 of water. He is using a cylinder shaped bucket with a radius of 5 inches and a height of 20 inches to fill the tank.
Answer:
3
Step-by-step explanation:
How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn’t spill a drop? Use 3.14 for pi
Number of times = volume of tank /volume of cylinder
volume of cylinder = πr²h
3.14 x 5² x 20 = 1570
4710 / 1570 = 3 times
what is the answer to this?
Answer:
I think n = 7
Step-by-step explanation:
I might be wrong but I looked carefully and I think n is 7.
Answer:
the answer is n=7 so it
Step-by-step explanation:
is7
Find the volume of this cylinder.
Round to the nearest tenth.
17 ft
8ft
[ ? ) ft3
Enter
Answer:
The answer is 3418.1 ft rounded to the nearest tenth.
Step-by-step explanation:
The total volume of the cylinder can be defined by the Area of circular base * Perpendicular height.
The area of the circular base can be calculated as
[tex]\pi \times {r}^{2} [/tex]
where r is the radius of the circular base, which is 8 ft.
The area of the circular base is
[tex]\pi \times {8}^{2} = 64\pi[/tex]
We also know the height of the cylinder is 17 ft.
Hence, the volume of the cylinder is
[tex]64\pi \times 17 = 1088\pi = 3418.0528...[/tex]
This will be rounded up to 3418.1 with the nearest tenth
Does anyone know how to solve this?
Answer:
Perimeter = AB + AC + BC = 26.55 units
Step-by-step explanation:
The perimeter of a triangle is the sum of lengths of all sides.
Here we have a right triangle, right-angled at C
angle B = 46°
AB = 11
We continue to calculate
AC = (11)sin(46°) = 7.91
BC = (11)cos(46°) = 7.64
Perimeter = AB + AC + BC = 26.55 units
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m-1/2=2+1/4m
2
3
4
5
9514 1404 393
Answer:
4
Step-by-step explanation:
The fractions involved are 3/4, 1/2, 1/4. These have a least common denominator of 4. All of the fractions can be eliminated by multiplying the equation by 4.
-3/4m -1/2 = 2 +1/4m . . . . . . given
-3m -2 = 8 + m . . . . . . . . . . . multiply by 4 (eliminates fractions)
-10 = 4m . . . . . . . . . . . . . . . . add 3m-8
-5/2 = m . . . . . . . . . . . . . . . . divide by 4
__
Check
-3/4(-5/2) -1/2 = 2 + 1/4(-5/2)
15/8 -4/8 = 16/8 -5/8
11/8 = 11/8 . . . . . answer checks OK
8. Given the radius and area of the circle, calculate the angle at the centre of the circle.
Radius
Area of sector
14 cm
18.48 cm
(b)
21 m
27.72 m
(c)
8.4 cm
15.4 cm
1⁄2 × 1⁄5 =
help//.....
Answer:
1/10
Step-by-step explanation:
1/2 * 1/5
Multiply the numerators
1*1 = 1
Multiply the denominators
2*5 =10
Numerator over denominator
1/10
Answer:
1/10
Step-by-step explanation:
multiply the numerators and denominators separately
1×1/2×5
any expression multiplied by 1 remains the same
1/2×5
2×5=10
1×1=1
1/10
can someone help me solve this.
Answer:
equilateral: E
scalene: F
isosceles: G
Step-by-step explanation:
equilateral = all sides are equal
scalene = no sides are equal
isosceles = two sides are equal
Find the sum of the first 36 terms of the following series, to the nearest integer. 13, 19,25,...
Answer:
223?
Step-by-step explanation:
6n +7 (nth term)
(6*36)+7 = 223
4x + 8y = 24 y = -1 2 x + 5
Answer:the answer to this is 16x -16y=5.
step by step explanation:.
4x+8y=24y=-12x+5
= 4x+13x+8y-24y=5.
16x - 16y =5.
Helen rented a kayak at the lake. There is a charge of $10 as an initial fee and then $2 an hour for every hour that she uses the kayak. If the total charge is $22 , how many hours did she kayak?
Answer:
She kayaked for 6 hours.
Step-by-step explanation:
If $10 is the initial fee, subtract $22 - $10 = $12.
If it charges $2 per hour, divide $12 by $2 which equals 6 hours.
Answer:
6 hours
Step-by-step explanation:
Cost = fee + charge per hour * number of hours
22 = 10 +2h
Subtract 10 from each side
22-10 = 10+2h-10
12 = 2h
Divide
12/2 = 2h/2
6 = h
Statement about the function f(x)=5(0.9)^x
Answer:
It's an exponential function
Step-by-step explanation:
That's one statement
Hope it helped
If 4 is multiplied by the difference of a number and 3, the result is 32, which equation could be used to find the value of the number?
Step-by-step explanation:
I think 4 (x-3)=32 is right
A bag contains 9 identical balls out of which 3 are blue, 2 are white and the remaining are red.
If a ball is drawn from the bag what is probability that it is :
1. blue
2.not red.
Answer:
Total number of balls = 9
P(blue) = blue / total = 3/9 = 1/3 or 33.33%P(not red) = (total - red)/total = 5/9 or 55.55%The sum of three numbers is 103. The second number is 5 less than the first. The third number is 4 times the first. What are the numbers?
Answer:
The numbers are 18, 13, and 72.
Step-by-step explanation:
Let the three numbers be represented by a, b, and c.
The sum of the three is 103. Thus, we can write that:
[tex]a+b+c=103[/tex]
The second number is five less than the first. So:
[tex]b=a-5[/tex]
And the third number is four times the first. So:
[tex]c=4a[/tex]
Substitute:
[tex]a+(a-5)+(4a)=103[/tex]
Solve for a. Combine like terms:
[tex]6a-5=103[/tex]
Add five to both sides:
[tex]6a=108[/tex]
And divide both sides by six. Therefore:
[tex]a=18[/tex]
So, the first number is 18.
Since the second number is five less than the first, the second number is 13.
And since the third number is four times the first, the third number is 72.
2 intersecting lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R. Angle T R V is 95 degrees. mAngle SRW = °
Answer:
m<SRW = 95degrees
Step-by-step explanation:
If a line with points T, R, W intersects a line with points S, R, V at point R with the point of intersection at R, this means that;
m<TRV = m<SRW (vertically opposite angles)
Since m<TRV = 95 degrees, hence <SRW = 95degrees
Consider the algebraic expression:
−z − 7y + 18x + 4
Which of the following is a constant in this expression?
Which of the following lists all the coefficients in this expression?
Answer:
constant: 4
coefficent: 7, 18 (However, -1 can also be counted as a coefficient, it is just invisible!)
Step-by-step explanation:
coefficient: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression
therefore, 7 and 18 are coefficients. HOWEVER, -1 can also be a coefficient to -z.
constant: a quantity or parameter that does not change its value whatever the value of the variables, under a given set of conditions.
therefore, 4 is a constant.
hope this helps! if it does, please mark brainliest! thanks!
Answer:
4
-1, -7, 18
Step-by-step explanation:
How many real solutions are there for the equation
3
2
0
1
Answer:
2
Step-by-step explanation:
[tex]12x {}^{2} + 4x - 3x - 1 = 0 [/tex]
[tex]4x \times (3x + 1) - (3x + 1) = 0[/tex]
[tex](3x + 1) \times (4x - 1) = 0[/tex]
[tex]3x + 1 = 0 \\ 4x - 1 = 0[/tex]
[tex]x = - \frac{1}{3} \\ x = \frac{1}{4} [/tex]
I hope this helps :)
What is the mean of the normal distribution shown below?
Answer:
0
Step-by-step explanation:
Just add up the numbers and divide by 7
-3-2-1+1+2+3
-6+6=0
0/7 is 0
I would really appreciate the help..
Answer:
SOHCAHTOA
-opposite = 45
adj = x (32 degrees)
Tan(32)/x = 45/x
cross multiply to get your answer
find the distance,(-2,3)(-8,3)
Answer:
6
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√[-8 - (-2)]² + (3 - 3)²
√(-6)² + (0)²
√36
= 6
help very easy 5th grade math im in rush please help im very tired tell me how many x’s to put in each box.
Answer:
Step-by-step explanation:
none in the first 3 box
none in the second 3 boxes
2 in the third 3 boxes
1 in the 4th three boxes
1 in the 5th three boxes
3 in the 6th three boxes
and none in the last 3 boxes
hope this helped :D
Solve the proportion [tex]\frac{X+1}{3}[/tex] = [tex]\frac{X}{2}[/tex]
A).5
B).1
C).10
D).2
hey can someone help me? its due in 3 hours and my grades reay depend on it :((
Answer:
B
A
B
C
B
A
C
D
C
C
D
C
C
D
B
A
Use the graph to determine the lim HURRY PLS, NEED SOMEONE CONSISTENT
Answer:
3.5 sorry if i am wrong
Step-by-step explanation:
If a car is moving at the speed of 60 miles per hour how many miles would a car travel i 120 minutes
Answer:
120 miles
Step-by-step explanation:
120minutes= 2hour
2×60÷1=120 (miles)
PLEASE HELP!! WILL AWARD BRAINLIEST!!
Answer:
2.478 million at the end of 2015
Step-by-step explanation:
Multiply the amount of population at the end of 2012 times 6%
2.1 times 0.06 = 0.126 million
So, at a constant rate, yearly, the population of Dubai increases 0.126 million
2015-2012 = 3
0.126 times 3 = 0.378 million
2.1 + 0.378 = 2.478 million
hope this helps:)
The theater sells two types of tickets: adult tickets for $15 and
child tickets for $11.
Last night, the theater sold a total of 147 tickets for a total of
$1889. How many adult tickets did the theater sell last night?
Answer:
68
Step-by-step explanation:
Let x=adult tickets and y=child tickets
1) 15x+11y=1889
2) x+y=147
multiply equation 1 by -1/11 on both sides to get:
-(15/11)x-y=-171.73
add new equation with equation 2 to get
-4/11x=-24.73
Isolate x to get:
x=67.99999
Round up to get 68 adult tickets