Answer:
100 = 36 + h^2
h^2 =64
h=8
Step-by-step explanation:
Answer:
[tex] \sqrt{136} [/tex]
cos theta / sec theta -1 - sin theta / 1+cos theta = 2 cot theta
Step-by-step explanation:
Explanation is in the attachmentHope it is helpful to you
PLEASE HELPPPPP, what is the meaning of 1.5 terms context?
Answer: #2 that's an absolute anser i am not sure if there are more or if this is just a multiple choice question
Step-by-step explanation:
The population of China is about 1.4 x 10^9 people. Julie grew up in a town that had a population of about 7,000 people. How many times greater is the population of China than Julie's hometown?
Please write your answer in standard notation
Answer:
200,000 times
Step-by-step explanation:
The population of China is about 1.4 × 10⁹ . And the hometown of Julie has a population of 7,000 people . We need to find out how many times greater is the population of China than Julie's hometown .
By Question :-
[tex]\rm\implies Population_{China}= 1.4\times 10^9 [/tex]
[tex]\rm\implies Population_{Hometown}= 7,000 [/tex]
Times by which population of China is more:-
For finding this divide the population of China by population of hometown .[tex]\rm\implies \dfrac{ 1.4 \times 10^9 }{7000} \\\\\rm\implies \dfrac{ 14 \times 10^8}{7\times 10^3}\\\\\rm\implies 2\times 10^{8-3} \\\\\rm\implies 2\times 10^5 \\\\\rm\implies \boxed{\quad \bf 200,000 \quad }[/tex]
Therefore the population of China is greater than 200,000 times .
Convert to decimal degrees.
-(167° 31”)
[?]°
Enter your answer with three decimal places.
Answer:
The angle in decimal form is 167.009°.
Step-by-step explanation:
We know an angle in terms of integer angles, minutes and seconds, whose conversion into decimal degrees is expressed by the following formula:
[tex]\theta = n + \frac{m}{60}+\frac{s}{3600}[/tex] (1)
Donde:
[tex]n[/tex] - Integer angle, in sexagesimal degrees.
[tex]m[/tex] - Minutes.
[tex]s[/tex] - Seconds.
If we know that [tex]n = 167[/tex], [tex]m = 0[/tex] and [tex]s = 31''[/tex], then the angle in decimal form is:
[tex]\theta = 167^{\circ}+\frac{0}{60}^{\circ} + \frac{31}{3600}^{\circ}[/tex]
[tex]\theta = 167.009^{\circ}[/tex]
The angle in decimal form is 167.009°.
Find the length of the segment indicated. Round your answer to the nearest 10th if necessary.
Answer:
x=13.6
Step-by-step explanation:
By Pythagoras theorem, 5.5^2+x^2=14.7^2. x^2=14.7^2-5.5^2. x=13.6
In a quadrilateral HELP, HE is congruent to LP. What other condition would prove that HELP is a parallelogram?
Answer:
[tex]HE || LP[/tex]
Step-by-step explanation:
Given
[tex]HE \cong LP[/tex]
Required
Which proves that [tex]HELP[/tex] is a parallelogram
We have:
[tex]HE \cong LP[/tex]
The given sides must also be parallel i.e.
[tex]HE || LP[/tex]
Hence, (c) is correct
Three red balls, 5 green balls and a number of blue balls are put together in a sac. One ball is picked at random from the sac. If the probability of picking a red ball is 1|6, find the a) The number of blue balls in sac. B) the probability of picking a green ball
Answer:
total balls = 18 .... 3/x = 1/6
blue = 10 ... 18-(5+3) = 10
p of green = 5/18 = .277
Step-by-step explanation:
please help me with this problem !
Answer: 2/3
Step-by-step explanation:
1/4 (3/12) plus 5/12 = 8/12
which can be simplified by 4
Aisha wants to paint the four walls of her living room.
Each wall is 2.2 m high and 5.5 m long.
One wall has a door of 1.8 m by 0.9 m.
Tins of paint cost £13 per 2 L tin.
Each litre of paint can cover 8 m2 of wall.
There is an offer of: Buy 2 tins get the 3rd at half price.
How much will Aisha pay to paint her living room?
Answer:
£32.50
Step-by-step explanation:
my first question to the teacher : so, no windows in the living room ?
so, it is a square living room with 5.5 m side length.
but each wall is a rectangle of 2.2 × 5.5 m.
for one wall we have to deduct a door area of 1.8×0.9 m.
so, one wall
2.2 × 5.5 = 12.1 m²
4 walls
4 × 12.1 = 48.4 m²
minus one door area
1.8 × 0.9 = 1.62 m²
48.4 - 1.62 = 46.78 m² total paint area
1 L paint covers 8 m².
so, we need 46.78/8 = 5.85 liters.
she gets the paint in 2 L tins. so, she needs 3 tins (6 L).
each tin costs £13.
and because she buys 3 tins, she gets the third one for half the price (13/2 = £6.50).
so, she has to pay
2×13 + 6.50 = 26 + 6.50 = £32.50
Please hurry I will mark you brainliest
Answer:
To find width when given perimeter and length you must multiply the length by two and subtract that amount from the perimeter. Then divide the new number by two.
Step-by-step explanation:
Please help! Identify an equation in point-slope form for the line parallel to y=3/4x-4 that passes through (-1,7).
What is the range of f(x)=4^x
Answer:
B
Step-by-step explanation:
At - infinity, the function will tend to 0 and at +infinity, the function will tend to +infinity. Those are the two extremas of the function and extremas define the range. Range is all positive real number
Find cos 0
A. 15/8
B. 15/17
C. 8/15
D. 8/17
Answer:
A.15/8
Step-by-step explanation:
the answer is 15/8
Answer:
D.
[tex]{ \tt{ \cos( \theta) = \frac{adjacent}{hypotenuse} }} \\ \\ { \tt{ \cos( \theta) = \frac{8}{ \sqrt{ {15}^{2} + {8}^{2} } } }} \\ \\ { \tt{ \cos( \theta) = \frac{8}{ \sqrt{289} } }} \\ \\ { \tt{ \cos( \theta) = \frac{8}{17} }}[/tex]
use a double angle or half angle identity to find the exact value of each expression
Answer:
Step-by-step explanation:
There are 2 very distinct and important things that we need to know before completing the problem. First is that we are given that the cos of an angle is 1/3 (adjacent/hypotenuse) and it is in the first quadrant. We also need to know that the identity for sin2θ = 2sinθcosθ.
We already know cos θ = 1/3, so we need now find the sin θ. The sin ratio is the side opposite the angle over the hypotenuse, and the side we are missing is the side opposite the angle (we do not need to know the angle; it's irrelevant). Set up a right triangle in the first quadrant and label the base with a 1 (because the base is the side adjacent to the angle), and the hypotenuse with a 3. Find the third side using Pythagorean's Theorem:
[tex]3^2=1^2+y^2[/tex] which simplifies to
[tex]9=1+y^2[/tex] and
[tex]y^2=8[/tex] so
[tex]y=\sqrt{8}=2\sqrt{2}[/tex] so that's the missing side. Now we can easily determine that
[tex]sin\theta=\frac{2\sqrt{2} }{3}[/tex]
Now we have everything we need to fill in the identity for sin2θ:
[tex]2sin\theta cos\theta=2(\frac{2\sqrt{2} }{3})(\frac{1}{3})[/tex] and multiply all of that together to get
[tex]2sin\theta cos\theta=\frac{4\sqrt{2} }{9}[/tex]
What is 8% of $600?
pls provide equation on how you get the answer
Answer:
Step-by-step explanation:
8% = 8/100
So 8% of 600
= (8/100)* 600
= 8 * 6
= $48.
Step-by-step explanation:
8/100×$600
8×6. (Cancelled 600 by 100%)
$48
hope it helps
Find the measure of the missing angle using the exterior angle sum theorm.
Answer:
95 degrees
Step-by-step explanation:
First find the angles within the triangle. 180 - 43 - 52 = 85, so the missing angle within the triangle is 85. The exterior angle would be supplementary to that, so 180 - 85 = 95.
If the speed of an object in motion is doubled, its kinetic energy becomes how many times the original kinetic energy
Answer: Becomes four times
Step-by-step explanation:
Given
Speed is doubled for a moving object
Suppose initial speed is u
Increased speed is 2u
Kinetic Energy is given by
[tex]\Rightarrow K=0.5mu^2[/tex]
When speed is doubled
[tex]\Rightarrow K'=0.5m(2u)^2\\\Rightarrow K'=(0.5mu^2)\times 4\\\Rightarrow K'=4K[/tex]
Kinetic energy becomes four times
I DONT UNDERSTAND HELPPPPPPPPP
Answer:
no as all fractions are rational numbers and that is a mixed fraction
If f is continuous for all x, which of the following integrals necessarily have the same value?
Answer:
B
Step-by-step explanation:
Given the three integrals, we want to determine which integrals necessarily have the same value.
We can let the first integral be itself.
For the second integral, we can perform a u-substitution. Let u = x + a. Then:
[tex]\displaystyle du = dx[/tex]
Changing our limits of integration:
[tex]u_1=(0)+a=a \text{ and } u_2 = (b+a)+a = b+2a[/tex]
Thus, the second integral becomes:
[tex]\displaystyle \int_{0}^{b+a}f(x+a)\, dx = \int_a^{b+2a} f(u)\, du[/tex]
For the third integral, we can also perform a u-substitution. Let u = x + c. Then:
[tex]\displaystyle du = dx[/tex]
And changing our limits of integration:
[tex]\displaystyle u_1=(a-c)+c=a \text{ and } u_2=(b-c)+c=b[/tex]
Thus, our third integral becomes:
[tex]\displaystyle \int_{a-c}^{b-c}f(x+c)\, dx = \int_{a}^{b} f(u)\, du[/tex]
Since the only difference between f(x) and f(u) is the variable and both the first and third integral have the same limits of integration, our answer is B.
An angle measures 73.6° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Smaller angle = 53.2
Larger angle = 126.8
Step-by-step explanation:
Lets say x is the measure of the supplement. Since we know they're supplementary, we know their angle measure sum will equal 180. We can set up our equation like this [tex]x + (x-73.6) = 180[/tex]. Note: (x - 73.6) is the measure of the smaller angle. By solving, we get 126.8 degrees for the measure of the supplement. If we plug in the value of x into (x-73.6), we get 53.2 degrees as the angle measure of the smaller angle.
Grandma is making a quilt. She has 540 cm of fabric to border the quilt. What is the greatest possible area for the quilt?
Question 1 options:
11 664 cm^2
18225 cm^2
72900 cm^2
291600 cm^2
Show your work:
Answer:
18225 cm²
Step-by-step explanation:
Divide 540 by 4 to get the length of all sides
540/4 = 135
Square 135 to get the max possible size
135² = 18225
18225 cm² is the greatest possible area for the quilt.
What is area?The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
Given
Divide 540 by 4 to obtain the length of all sides
540/4 = 135
Square 135 to acquire the max possible size
135² = 18225
18225 cm² is the greatest possible area for the quilt.
To learn more about area refer to:
https://brainly.com/question/25292087
#SPJ2
Find cosθ+cos3θ+cos5θ+cos7θ by using the Sum-to-Product Formula.
Please also show your work as well. Thanks!
Answer:
[tex] \rm\displaystyle 4\cos( \theta) \cos \left( {2\theta} \right) \cos \left( {4 \theta } \right) [/tex]
Step-by-step explanation:
I assume the question want us to rewrite cosθ+cos3θ+cos5θ+cos7θ by using Sum-to-Product Formula and note that it's not an equation therefore θ can never be specified
===========================
so we want to rewrite cosθ+cos3θ+cos5θ+cos7θ by using Sum-to-Product Formula the good news is that the number of the function of the given expression is even so there's a way to do so, rewrite the expression in parentheses notation:
[tex] \rm\displaystyle \left( \cos( \theta) + \cos(3 \theta) \right) + \left(\cos(5 \theta) + \cos(7 \theta) \right)[/tex]
recall that,Sum-to-Product Formula of cos function:
[tex] \rm \boxed{\displaystyle \cos( \alpha ) + \cos( \beta ) = 2 \cos \left( \frac{ \alpha + \beta }{2} \right) \cos \left( \frac{ \alpha - \beta }{2} \right) }[/tex]
notice that we have two pair of function with which we can apply the formula thus do so,
[tex] \rm\displaystyle \left( 2\cos \left( \frac{ \theta + 3 \theta}{2} \right)\cos \left( \frac{ \theta - 3 \theta}{2} \right) \right) + \left(2\cos \left( \frac{5 \theta + 7 \theta}{2} \right) \cos \left( \frac{5 \theta - 7 \theta}{2} \right) \right)[/tex]
simplify addition:
[tex] \rm\displaystyle \left( 2\cos \left( \frac{4 \theta}{2} \right)\cos \left( \frac{ - 2\theta }{2} \right) \right) + \left(2\cos \left( \frac{12 \theta }{2} \right) \cos \left( \frac{ - 2 \theta}{2} \right) \right)[/tex]
simplify division:
[tex] \rm\displaystyle \left( 2\cos \left( {2 \theta} \right)\cos \left( { - \theta } \right) \right) + \left(2\cos \left( {6 \theta } \right) \cos \left( { - \theta} \right) \right)[/tex]
By Opposite Angle Identities we acquire:
[tex] \rm\displaystyle \left( 2\cos \left( {2 \theta} \right)\cos \left( { \theta } \right) \right) + \left(2\cos \left( {6 \theta } \right) \cos \left( { \theta} \right) \right)[/tex]
factor out 2cosθ:
[tex] \rm\displaystyle 2 \cos( \theta) (\cos \left( {2 \theta} \right) + \cos \left( {6 \theta } \right) )[/tex]
once again apply Sum-to-Product Formula which yields:
[tex] \rm\displaystyle 2 \cos( \theta) (2\cos \left( {4\theta} \right) \cos \left( {2 \theta } \right) )[/tex]
distribute:
[tex] \rm\displaystyle 4\cos( \theta) \cos \left( {2\theta} \right) \cos \left( {4 \theta } \right) [/tex]
and we're done!
What is the circumference of a circle with a diameter of 5 feet? Use 3.14 for pie.
Answer:
A. 15.7 ft
Step-by-step explanation:
circumference = 2πr
radius= half the diameter 5/2=2.5
2(3.14)(2.5)=15.7 ft
The length of the side of a regular octagon is 2.5y - 3 units. The perimeter of the octagon is _
units
Answer:
Step-by-step explanation:
1 side = 2.5y - 3
8 sides = 8(2.5y - 3)
8 sides = 20y - 24
Perimeter = 20y - 24
I am having trouble with this problem how do i solve it.
Answer:
90
Step-by-step explanation:
I do not know if this is true or not but i am pretty sure this is perimeter
All triangles sides have to add up to 180
1. add up 25 and 65
2. 180-90=90
Then i think your answer is 90
Please do not give me hate if i did this wrong
Isabella runs 3 times per week. She ran for 15 minutes on Monday and 17 minutes on Wednesday. Her coach told her that she had run 80 percent of her goal that week. How many more minutes does she need to run to meet her goal for the week?
Answer
8 More minutes
Step-by-step explanation:
15+ 17 = 32
32/.8 = 40
40 - 32 = 8
A square has a side length of 36 feet. This square is dilated by a scale factor of 2/3 to create a new square. What is the side length of the new square?
Answer:
24
Step-by-step explanation:
Multiply the side length by the dilation
36 x 2/3
72/3
Simplify
72/3 = 24
Your answer is correct
please help me its urgent
Answer:
number of students who like only iphone is 36...
Step-by-step explanation:
100 is the total number..
from that 40 like both so we subtract..
100-40=60..
60 = 2x + 3x..
60 / 5 = 12..
so numbet who like iphone is 3x which is 3 * 12=36..
A triangle has an area of 18ft squared. List all the possible positive integers that could represent its base and height. Use sentences to describe your process.
Answer:
1ft x 36ft
2ft x 18ft
3ft x 12ft
4ft x 9ft
6ft x 6ft
Step-by-step explanation:
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
Area of a triangle = 1/2 x base x height
If area is 18ft², then the dimensions of base x height = 18 x 2 = 36
all the possible positive integers that could represent its base and height can be determined be known by determining the factors of 36
factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36
Possible dimensions of base and heights are :
1ft x 36ft
2ft x 18ft
3ft x 12ft
4ft x 9ft
6ft x 6ft
What is the solution to this system of linear equations?
2%. + 3y = 3
7x-3y = 24
O (
27)
(3,-21)
O (3-1)
19.0
Answer:
(3,-1)
Step-by-step explanation:
2x + 3y = 3 -----------(I)
7x - 3y = 24 ----------(II)
Add equation (I) & (II) and y will be eliminated and we can find the value of 'x'
(I) 2x + 3y = 3
(II) 7x - 3y = 24 {Add}
9x = 27 {Divide both sides by 9}
x = 27/9
x = 3
Plugin x = 3 in equation (I)
2*3 + 3y = 3
6 + 3y = 3
Subtract 6 from both sides
3y = 3 - 6
3y = -3
Divide both sides by 3
y = -3/3
y = -1
