Answer:
secθ=[tex] \sqrt{ \tan^{2} θ - 1 } [/tex]
Find the area of the kite.
Answer:
72
Step-by-step explanation:
One way to do this is to use the formula [tex]A=\frac{1}{2}d_1 d_2[/tex] where [tex]d_1[/tex] and [tex]d_2[/tex] are the lengths of the two diagonals.
In the figure, [tex]d_1=12[/tex] and [tex]d_2=12[/tex] (2 + 10 and 6 + 6).
The area is [tex]\frac{1}{2}(12)(12)=\frac{1}{2}144=72[/tex] square units.
Another way that doesn't depend on learning a formula is to remember that the diagonals of a kite are perpendicular, so the 4 small triangles are right triangles. Two of the smaller triangles have base =2 and height = 6, so their areas are 1/2(2)(6) = 6. Double that--there are 2 congruent small triangles--to get an area of 12.
There are two larger right triangles with base =10 and height = 6, so their area are 1/2(10)(6)=30. There are two of those, so their combined area is 60.
Finally, put the small triangle area and the large triangle area together to get a total of 12 + 60 = 72
Help plzzzzz fast and no links
Answer:
x=60
Step-by-step explanation:
I am going to try to explain this to the best of my abilities, but if you dont understand please let me know and I'll clarify. There is a straight ine tha that equals 180, so you do 180-120=60
the values at which the graph of a polynomial crosses the x-axis are called ''roots'' and are the values for which the y-value is ____
Answer:zero
Step-by-step explanation:
The diameter of a circle is 1. What is the area??
Answer:
diameter=1
radius(r)=1/2 =0.5
area of circle=πr²
22/7×(0.5)²22/7×0.250.785cm²hope it helps.
Ekspress as fraction the chances of the following being picked at random from the boxes. Days of the week and Months of the year.
Example: The month picked is September 1/12
a) The month picked is during summer?
b) The day picked falls on a weekend?
c) The month has the letter 'r' in it?
d) If a weekday is picked the chances it begins with the letter 't' ?
e) If the month picked has 30 days the chance it is June?
Answer:
hdhfkejshdbejejdhjjejej
Which of the following are point-slope equations of the line going through (-3,-5) and (2,4)
Answer:
y+5 = 9/5(x+3)
y - 4 = 9/5(x-2)
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 4- -5)/(2 - -3)
= ( 4+5)/(2+3)
= 9/5
Then using the point slope form
y -y1 = m(x-x1) where x1 and y1 are a point on the line
y - -5 = 9/5(x- -3)
y+5 = 9/5(x+3)
or using the other point
y - 4 = 9/5(x-2)
Camila built a rectangular vegetable garden, as shown in the figure.
12 ft.
4 ft.
Camila wanted to create a second garden to grow even more vegetables. To determine the dimensions of her second
garden, she used a horizontal scale factor of 75% and a vertical scale factor of 150%. The horizontal measurement of
the second garden is 21
feet, and the vertical measurement of the second garden is 10
feet.
5+5+3x3+3.3+1x0+1=
Points
5+5+3x3+3.3+1x0+1=
23.3 points
Sabrina is building three identical table tops. The table top measures 8 feet by 3 feet. How many square feet of wood will Sabrina need to create the table tops?
The population of a state is approximately 5 million people. The state is in the shape of a rectangle that is 280 miles by 380 miles. To the nearest whole number, what is the average number of people living on each square mile of the state?
Answer:
106,400 i think
Step-by-step explanation:
Answer:
47 people live on each square mile of the state
Step-by-step explanation:
5000000 people divided by (280 x 380) square miles
is 47 people per 1 square mile
An isoceles triangle has equal side 10cm long and a base 6cm long.Calculate the height of the triangle correct to 2decimal places
Answer:
9.54 cm
Step-by-step explanation:
half base = 6:2 = 3 cm
height = [tex]\sqrt{equal side^2 - half base^2} = \sqrt{10^2 - 3^2} = \sqrt{100-9} = \sqrt{91}[/tex] = 9.54 cm
For the following three questions, you will be testing for correlation between people's opinions of bilingual education (X) and their opinions about whether foreign born citizens should be allowed to run for president (Y) using the following data. The scale for both variables is 1 to 9, representing strong opposition to strong favor respectively. The null hypothesis is that X and Y are not correlated.
X Y
2 5
5 3
1 2
7 9
1 3
Calculate r. What are the degrees of freedom and do we retain or reject the hypothesis?
Answer:
0.7539
Degree odndd
Step-by-step explanation:
X Y
2 5
5 3
1 2
7 9
1 3
X :
2
5
1
7
1
Y:
5
3
2
9
3
Using a correlation Coefficient calculator, the correlation Coefficient, R value obtained is 0.7539
H0 : ρ = 0
H1 : ρ ≠ 0
The test statistic :
T* = r(√n - 2) / (√1 - r²)
T* = 0.7539 * √5 - 2) / (√1 - 0.7539²)
T* = 1.3057931 /0.6569891
T* = 1.988
Using the Pvalue from t statistic calculator :
T* = 1.988 ; df = 5 - 2 = 3
Pvalue = 0.0704
At α = 0.05
Pvalue > α ; we fail to reject H0 ; and thus conclude that and Y are not correlated. And conclude that X and Y are not correlated.
solve x(x-2)=4 using the quadratic formula
Answer:
=1±(check mark thing)=5
Step-by-step explanation:
The sum of a number times 6 and 26 is at most 15.
About 0.46
0.46(6+26)=>15
Question 8
8. Ray is making face masks and needs to
purchase elastic cord. He needs 10.25 cm
elastic cord for each face mask. He orders 20
m of elastic cord. If he doesn't want any of
the cord to be wasted, what is the least
amount of extra cord that he would need to
add to his order of 20 m?
A.
B.
9 cm
10.25 cm
C.
D.
20.09 m
20.9 m
9514 1404 393
Answer:
B. 9 cm
Step-by-step explanation:
The number of face masks Ray can make with 20 m of cord is ...
(20 m)(100 cm/m)/(10.25 cm/mask) = 195.12195 masks
To make one more mask, he will need to buy an additional amount of ...
(196 -195.12195)×(10.25 cm) ≈ 9.00 cm
Ray would need to add 9 cm of cord to his order.
1. What is the opposite of -17
Answer:
Step-by-step explanation:
17
Please help with this Ive been stressing out lately and I want a break I'll give hearts and 5 stars.
Answer:
8.8584073464
Step-by-step explanation:
area of the rectangle is 12
area of the circle is just pie
subtract the two and you get 8.8584073464
Answer:
Step-by-step explanation:
What closed figure do the coordinates 3,3), (-5,3), (-1, -3), (3, -3) make?
Answer:
(8,-4) Correct me if there's wrong QwQ
The Brazos River is the longest river in Texas with a length of 1, 352 km. The elevation of the source is 453 m above sea level, and the mouth is the Gulf of Mexico, with an elevation of m above sea levelAt what angle does the Brazos River flow, on average , in degrees ? (Round to the nearest hundredth .)
Answer:
0.02degrees
Step-by-step explanation:
Given the following
Length of the river (adjacent) = 1352km = 1352000m
Height of the source (opposite) = 453m
Required
angle of elevation theta
Using the SOH CAH TOA identity
tan theta = opposite/adjacent
tan theta = 453/1352000
tan theta = 0.0003351
theta = arctan(0.0003351)
theta = 0.02 degrees
Hence the Brazos river flows at an angle of 0.02degrees to the nearest hundredth
Sarah rode her bike 54km in 4hours what’s her average speed?
Answer:5.4 km
Step-by-step explanation:
Emily has a coupon for 10%off of her purchase at the store. she finds a backpack that she likes on the discount rack. it’s original price is $60 but everything on the rack comes with the 30% discount. Emily says 10% and 40% make 50% so it will cost $30 is Emily correct explain what price will Emily pay for the backpack
Answer:
It is true that 20% and 30% make 50%. But in the context of sale prices it is essential to keep track of the wholes to which these percents apply. For the backpack, the 30% discount applies to the original $60 price: 30% of $60 is 0.3×60=18 making the discount on the backback $18. So after using the coupon, the backpack price becomes $42. Emily's additional 20% coupon applies not to the original backpack price but to the discounted price of $42: 20% of $42 is $8.40. Emily would need to save an additional $12 off the $42 price in order to buy the backpack for $30 so her calculations are not correct.
As seen in part (a), Emily's coupon lowers the discount rack price by $8.40 so she will pay
42−8.40=33.60
or $33.60.
Step-by-step explanation:
Consider the sequence Three-halves, four-thirds, five-fourths, six-fifths, ellipsis
PLEASE HELP IM TIMED 20 PTS
Which statement describes the sequence?
The sequence diverges.
The sequence converges to 0.
The sequence converges to 1.
The sequence converges to ∞.
Answer:
[tex]The \ general \ term \ of \ the \ sequence = \frac{n + 1}{n}[/tex]
[tex]\lim_{n \to \infty} (\frac{n+1}{n}) = \lim_{n \to \infty} (\frac{1}{n} +1 ) = 1 + \lim_{n \to \infty} \frac{1}{n} = 1 + 0 = 1[/tex]
Option 3 : The sequence converges to 1
Evaluate the function requested. Write your answer as a fraction in lowest terms.
21
35
В
28
Find sin A.
а.
4
sin A =
3
c.
sin A =
b.
d.
4
sin A =
5
5
sin A =
4
Answer: 4 / 5
Step-by-step explanation: 1) For a right triangle, the ratio sine is defined as:
sin(x) = opposite-leg / hypotenuse
2) x is the angle. In this case: A
3) As per the figure, the opposite leg to tha angle A measures 28
4) As per the figure, the hypotenuse measures 35
5) Calculations:
sin(A) = 28 / 35
Simplify dividing both numerator and denominator by 7 => 28/35 = 4/5
Heather , deon and trey sent a total of 109 text messages over their cell phones during the weekend. Trey sent 3 times as many messages as deon. Deon sent 9 fewer messages than heather . How many messages did they each send
Answer:
Heather: 29
Deon: 20
Trey: 60
Step-by-step explanation:
Heather: x
Deon: x - 9
Trey: 3(x-9)
x + x-9 + 3(x-9) = 109
5x - 36 = 109
x = 29
I dont know this Please Help
Answer:
point A
Step-by-step explanation:
Point A is at (9,-4) (x coordinate, y-coordinate)
it is 4 units down from (9,0)
A box contains 5 red balls, 7 green balls, and 6 yellow balls. In how many ways can 6 balls be chosen if there should be 2 balls of each color
Answer:
12 balls
Step-by-step explanation:
take 3 red balls ,5 green balls and 4 yellow balls that 12 balls = 6 balls in bag
If bag contains 4 white balls, 6 yellow balls, and 5 red balls then 6 balls can be chosen if there must be 2 balls of each color in 900 ways
What are permutation and combination?Permutation is way of selecting and arranging things while combination is way of selecting things .
here, we have,
Given that bag contains 4 white balls, 6 yellow balls, and 5 red balls
we have to select 6 balls
it's given that there must be 2 balls of each color
So here's how we can select them
2 white balls ,2 yellow balls and 2 red balls
So we have to select 2 white balls out of 4 white balls ,2 yellow balls out of 6 yellow balls and 2 red balls out of 5 red balls
so number of ways of selecting
4C2 * 2C2 * 5C2
=6*15*10
=900
If bag contains 4 white balls, 6 yellow balls, and 5 red balls then 6 balls can be chosen if there must be 2 balls of each color in 900 ways
To learn more about combination visit :
brainly.com/question/25821700
#SPJ3
mark takes $4000 from john for 2 years at the rate of 10% half yearly interest. what amount will be paid by mark to john after end of 2 years?
Answer:
times all of the numbers
Step-by-step explanation:
what is the absolute value of the complex number −4−i 2√?
Answer:
-4-i2
The absolute value is the Square root of the real and Imaginary Parts of the Complex No
= √(-4)²+(-2)²
=√16+4
=√20
=2√5
It has been found that 85.6% of all enrolled college and university students in the United States are undergraduates a random sample of 500 and rolled college students in a particular state revealed that 420 of them were under graduates and their significant evidence to conclude that the proportion differs from the national percentage use ax equals 0.05
Answer:
What is your question please
Use elimination to find the solution to the system of equations. 9x + 2y = 59
2x + 5y = 4 (Answers below)
Answer:
????????????????????
Answer:
Step-by-step explanation:
9x + 2y = 59 -> 9x = 59 - 2y -> x = (59-2y)/9
2x + 5y = 4 -> 2(59-2y)/9 + 5y = 4 -> (118 - 4y)/9 +5y = 4
118 - 4y + 45y = 4*9 -> 41y = -82 -> y = -2, thus x = 7