Answer:
[tex]\boxed{x=13.89\:km}[/tex]
Step-by-step explanation:
Pythagorean theorem
[tex]x^2=(12^2)+(7^2)[/tex]
[tex]x^2=144+49[/tex]
[tex]x^2=193[/tex]
[tex]x=\sqrt{193}[/tex]
[tex]\boxed{x=13.89\:km}[/tex]
Find the volume
Help me please
Answer:
54piecm^3
Step-by-step explanation:
pie x radius ^2 x h
= v
pie x 9
= 9pie x 6
= 54pie
Can someone please help me out with a small explanation thank you :)
Step-by-step explanation:
1 . when we collect like terms we only focus on the variables and the power of the variable I f exist so in this question the answer is 8x^2 because both have the same variable and same power or exponent.
2. one term is monomial
two terms is binomial
3. b
4. -9
5. c
What is the surface area of the cone?
Answer: C
Step-by-step explanation:
To find the surface area of a cone, you use the formula [tex]A=\pi r(r+\sqrt{h^2+r^2} )[/tex]. Since we are already given the height and radius, all we have to do is plug in the values and solve.
[tex]A=9\pi (9+\sqrt{41^2+9^2} )[/tex] [solve inside of square root]
[tex]A=9\pi (9+\sqrt{1762} )[/tex] [parenthesis]
[tex]A=9\pi (50.976 )[/tex] [multiply]
[tex]A=458[/tex]
Therefore, the closest answer is C.
What is the standard form of the ellipse equation
25x2 - 150x + 9y2 = 0?
O
(x - 3)2
32
y
1
+
52
0 (x - 5)
1
y2
22
(y - 3)2
22
0x2
+
14
1
O
x2
32
(y - 3)2
22
= 1
Answer: The correct answer is in the first option.
Step-by-step explanation:
Equation of an Ellipse
[tex]\dfrac{x^{2} }{a^{2} } +\dfrac{y^{2} }{b^{2} } =1\\\\25x^{2} - 150x + 9y^{2} = 0\\\\\text {Let's \: perform \: the \: transformations:}\\\\\dfrac{25x^{2} }{25 \cdot 9} -\dfrac{150x}{25 \cdot 9} +\dfrac{9y^{2} }{25 \cdot 9} =0\\\\\dfrac{x^{2} }{3^{2} } -\dfrac{6x}{3^{2} } +\dfrac{y^{2} }{5^{2} } =0\\\\\dfrac{x^{2} -6x}{3^{2} } +\dfrac{y^{2} }{5^{2} } +\dfrac{3^{2} }{3^{2} } -\dfrac{3^{2} }{3^{2} } =0\\\\\dfrac{x^{2} -6x+3^{2} }{3^{2} } +\dfrac{y^{2} }{5^{2} } =\dfrac{3^{2} }{3^{2} }[/tex]
[tex]\dfrac{(x-3)^{2} }{3^{2} } +\dfrac{y^{2} }{5^{2} } =1[/tex]
what would be the u to usub and what would be the steps to solving this integral?
Presumably, ln⁵(x) is the same as (ln(x))⁵ (as opposed to a quintuply-nested logarithm, log(log(log(log(log(x)))))).
Then substituting u = ln(x) and du = dx/x gives
[tex]\displaystyle\int\frac{\mathrm dx}{x\ln^5(x)} = \int\frac{\mathrm du}{u^5} = -\frac1{4u^4}+C = \boxed{-\frac1{4\ln^4(x)}+C}[/tex]
Ah(t)
1800-
A ball is dropped from a height of 1296 ft. Its height h,
in feet, after t seconds is given by h(t) = 1296 - 1612.
After how long will the ball reach the ground?
0 0
1296
0-
0
12
The ball will reach the ground in seconds.
(Type an integer or a simplified fraction.)
HELP ME WITH THIS PROBLEM PLEASE!!
Answer:
w ≈ 33.9 in
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
w² + w² = 48²
2w² = 2304 ( divide both sides by 2 )
w² = 1152 ( take the square root of both sides )
w = [tex]\sqrt{1152}[/tex] ≈ 33.9 in ( to the nearest tenth )
Given a circle with centre O and radius 2.4cm. P is a point such that the lenght of the tengent from Q to the circle is 4.5cm. Find the lenght of OP
Answer:
5.1 cm
Step-by-step explanation:
(Probable) Question;
Given a circle with center O and radius 2.4 cm. P is a point on the tangent that touches the circle at point Q, such that the length of the tangent from P to Q is 4.5 cm. Find the length of OP
The given parameters are;
The radius of the circle with enter at O, [tex]\overline{OQ}[/tex] = 2.4 cm
The length of the tangent from P to the circle at point Q, [tex]\overline{PQ}[/tex] = 4.5 cm
The length of OP = Required
By Pythagoras's theorem, we have;
[tex]\overline{OP}[/tex]² = [tex]\overline{OQ}[/tex]² + [tex]\overline{PQ}[/tex]²
∴ [tex]\overline{OP}[/tex]² = 2.4² + 4.5² = 26.01
[tex]\overline{OP}[/tex] = √26.01 = 5.1
The length of OP = 5.1 cm
pls help me solve this multiplication fractions. (show work)
Answer:
32:3/4
33:4/3
34:40
35:48
Javier jogs & of a -
mile in 8 minutes
how many minutes will
it take him to jog
1 mile?
Answer:
It will take him 10 minutes to jog 1 mile.
Step-by-step explanation:
can i have brianliest please
If the woman in the picture below measured the angle of elevation from herself to the top of castle and found it to be 64 degrees, and she also measured the distance from herself to the base of the castle as being 124 meters, what would the height of the castle be? (round to the nearest whole meter.)
Answer:
254m
Step-by-step explanation:
The setup will be in form of a right triangle. Hence;
The angle of elevation = 64degrees
distance from herself to the base of the castle = 124 meters (Adjacent)
Required
Height of the castle (Opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 64 = H/124
H = 124tan64
H = 124(2.05030)
H = 254.23
H ≈ 254m
Hence the height of the castle to the nearest whole meters is 254metres
geometry help translations
Answer:
A' (9,4)
B' (8,-1)
C' (5,1)
Answered by GAUTHMATH
Answer:
A' = 9,4
B' = 8,-1
C' = 5,1
Step-by-step explanation:
Does this graph show a function? Explain how you know.
Answer:
A is the correct one
cause according to function rule the vertical line should cut only on a one point to be function
as here we can see that vertical line cuts here at two point
The slope of a line is 5/9 and the slope of another line is -975. The two lines
are
Answer:
the third option - they are perpendicular to each other.
Step-by-step explanation:
for a perpendicular slope we need to exchange the x and y values (remember, a slope is the ratio of y/x) and flip the sign.
and that is exactly what happened here.
Rewrite the expression in the form a^n.
1/a^-5/6
Step-by-step explanation:
here's the answer to your question
Answer:
[tex]\frac{1}{a^{\frac{-5}{6} } }[/tex]
[tex]\frac{1}{a^{-n} }[/tex][tex]\frac{1}{a^{-5/6} } =a^{5/6}[/tex][tex]ans: a^{5/6}[/tex]OAmalOHopeO
If the point A at (5, 3) is rotated clockwise about the origin through 90°, what
will be the coordinates of the new point?
Answer:
(5,-3) in the 4th quadrant
Step-by-step explanation:
The arithmetic mean of 10 consecutive even integers is 3. What is the least of these 10 even integers?
PLS HELP WILL GIVE BRAINLIEST
Answer:
-6
Step-by-step explanation:
2n can be the smallest integer, and 2n + 18 will be the largest integer.
The sum of this, divided by two, will result in the average/mean.
(2n + 2n + 18)/2 = 3
Multiply each side by 2:
(2n + 2n + 18)/2 ⋅ 2 = 3 ⋅ 2
2n + 2n + 18 = 6
Combine the like terms:
4n + 18 = 6
Subtract 18 from both sides:
4n + 18 - 18 = 6 - 18
4n = -12
Divide each side by 4:
4n/4 = -12/4
n = -3
Since we decided to go by 2n:
2n = 2(-3) = -6
The perimeter of a rectangle is 24 cm. If the length is 7 cm, find it width
Answer:
The width is 5 cm
Step-by-step explanation:
The perimeter of a rectangle is
P = 2(l+w)
Substitute what we know
24 = 2(7+w)
Divide each side by 2
24/2 = 2/2(7+w)
12 = 7+w
Subtract 7 from each side
12-7 = 7+w-7
5 =w
The width is 5 cm
The formula for perimeter = 2 x length + 2 x width
Fill in the known dimensions:
24 = 2 x 7 + 2 x width
Simplify:
24 = 14 + 2 x width
Subtract 14 from both sides:
10 = 2 x width
Divide both sides by 2:
Width = 5 cm
Answer: Width = 5 cm.
how can the graph of g(x) =x2+4 be obtained from the graph of f(x) =x2
Answer:
see explanation
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
The graph of g(x) is the graph of f(x) shifted up by 4 units
A club has 30 members. How many ways are there to select a President. Vice-
President and Secretary from this club? Assume no one can occupy more than one
position.
Answer:
Answer is 90 ways
Step-by-step explanation:
You multiply the members (30) by the number of positions (3) to get your answer
A 42 inch wire is bent into the shape of a rectangle whose width is twice its
length. Set up an equation to find the length of the rectangle.
Answer: Choice A
2(2L + L) = 42
=================================================
Explanation:
The length is L, which is some placeholder for a positive number.
The width is twice as much as this, so it's 2L
The perimeter is found by adding up the four sides (two of which are L, the other two are 2L)
So we have L+L+2L+2L = 2(2L+L) representing the perimeter.
Or we could use this formula
P = 2(L+W)
where L and W are the length and width respectively.
Either way, we end up with 2(2L + L) = 42
Answer:
42 = 2( l+2l)
Step-by-step explanation:
width = 2 length
Perimeter = 2 (l+w)
42 = 2( l+2l)
Divide each side by 2
42/2 = 2 (3l) /2
21 = 3l
Divide by 3
21/3 = 3l/3
7 = l
The length is 7
width is 2*l = 2*7 = 14
Fill in the blank and dropdown menus to form a true statement below.
Answer:
the polygon above has 6 sides . It is a hexagon with 6 obtuse angles interior angles equal to 720° .
Answer:
the polygon above has 6 sides . It is a hexagon with 6 obtuse angles interior angles equal to 720° .
Step-by-step explanation:
Solve + 17 = 20 for x and plot its value on the number line given below.
Answer:
x=12
Step-by-step explanation:
x/4 + 17 =20
Subtract 17 from each side
x/4 +17-17 =20-17
x/4 = 3
Multiply each side by 4
x/4 *4 = 3*4
x =12
Delta math please help
Answer:
[tex]\approx 13.0[/tex]
Step-by-step explanation:
The Pythagorean theorem is a formula that relates the sides of a right triangle. This formula states the following:
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the triangle angle of the right triangle. Parameter (c) represents the hypotenuse or the side opposite the right angle of the right triangle. Substitute the given values into the formula and solve for the unknown:
[tex]a = 7\\b = 11[/tex]
[tex]a^2+b^2=c^2[/tex]
[tex]7^2+11^2=c^2[/tex]
Simplify,
[tex]7^2+11^2=c^2\\\\49 + 121= c^2\\\\170=c^2[/tex]
Inverse operations,
[tex]170=c^2\\\\\sqrt{170}=c\\\\\\c \approx 13.0384[/tex]
Please help please please help
Answer:
Step-by-step explanation:
Number Estimate using a single digit and power of 10
23,898,497 2 × 10⁷
0.000136 1 × 10⁻⁴
26,857 3 × 10⁴
0.0302 3 × 10⁻²
-24/15*2/11=
pls tell fast
Answer:
-48/165
Step-by-step explanation:
Last month, a cafe had 3200 customers. 600 of them ordered gluten-free meals. What percentage of the customers ordered gluten-free meals?
18.75%
Step-by-step explanation:
600÷3200=0.1875
0.1875=18.75%
Answer:
18.75%
Step-by-step explanation:
The floor is in the shape of square. Louis measures the area as 445 square feet. Find the diagonal of the floor.
Answer:
29.83 ft
Step-by-step explanation:
First, you find the square root of 445, which is 21.09.
Then you use the Pythagorean theorem, which is a^2 + b^2 = c^2
because a and b are the same value you plug it in
21.09^2+21.09^2 = c^2
You end up getting:
c^2=889/5762
You then square root both sides to get:
c = 29.83, which is option 3
PLEASE HELP ITS TIMED!!!!
Answer:
It's A
Step-by-step explanation:
DO FOIL
-10d^4+(5+12)d^2s-6s^2=-10d^4+17d^2s-6s^2
Answer:
the first answer: -10a^4 + 17a^2s-6s^2
Step-by-step explanation:
GIVING 50 POINTS TO WHOEVER ANSWERS CORRECTLY!!!!!!
The coordinates or rectangle ABCD are (2,-2), (8,-2), (8,-5), (2,-5).
What are the coordinates of rectangle ABCD after a translation of (x - 3, y + 5)
Answer:
(2,-2) --> (-1, 3)
(8,-2) --> (5, 3)
(8,-5) --> (5, 0)
(2,-5) --> (-1, 0)
