45. 0 square units.
The area of the kite is 40.5 unit square.
The side of the kite inscribed in square is 9
We have to find the area of the kite
What is the formula for the area of the kite?The area of a kite is,
[tex]A = (d_1d_2) / 2[/tex]
Where [tex]d_1[/tex] and [tex]d_2[/tex] are the diagonals of the kite.
The kite is inscribed in the square, and the sides of the square are 9 units, the diagonals of the kite are both 9 units.
Therefore we get,
[tex]d_1 = 9 units[/tex]
[tex]d_2 = 9 units[/tex]
[tex]A = (9units \times 9units) / 2[/tex]
[tex]A = 81units^2 / 2[/tex]
[tex]A = 40.5 units^2[/tex]
So the third option is correct .
Therefore ,The area of the kite is 40.5 unit square.
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Use the equation, (1/27)^x = 3^-4x+6, to complete the following problems
(a) Rewrite the equation using the same base.
(b) Solve for x. Write your answer as a fraction in simplest form.
Answer:
[tex]\sf 3^{-3x}=3^{(-4x+6)}[/tex]
[tex]\sf x=6[/tex]
Step-by-step explanation:
[tex]\sf Given \ equation: \left(\dfrac{1}{27}\right)^x=3^{(-4x+6)}[/tex]
[tex]\sf As \ \dfrac{1}{27}=\dfrac{1}{3^3} \ and \ \dfrac{1}{a^b}=a^{-b} \ then \ \dfrac{1}{27}=3^{-3}[/tex]
Therefore, we can rewrite the given equation with base 3:
[tex]\implies \sf (3^{-3})^x=3^{(-4x+6)}[/tex]
Apply the exponent rule [tex]\sf (a^b)^c=a^{bc}[/tex] :
[tex]\implies \sf 3^{-3x}=3^{(-4x+6)}[/tex]
[tex]\sf If \ a^{f(x)}=a^{g(x)} \ then \ f(x)=g(x)[/tex]
[tex]\implies -3x=-4x+6[/tex]
Add 4x to both sides to solve for x:
[tex]\implies \sf x=6[/tex]
!!!WILL MARK BRAINLIEST!!
Answer:
B, F
Step-by-step explanation:
B, F is correct.
A, C, D, E, G, H is wrong.
[tex] < jkl = < qrs = < zxy = {47}^{0} [/tex]
[tex] < jlk = < zyx = < qsr = {29}^{0} [/tex]
find the simple interest #70000 for 7 1/2 at 3% per annum
Answer:
I think 1575000 but not sure sorry if i'm wrong
The inequalities x + 3 < -5 and -x > -8 are the same.
True False
Answer:
False
Step-by-step explanation:
x + 3 < -5
x < -8
-x > -8
x < 8
Both aren't same
Two soup cans p and q are right circular cylinders. each can has the same height, 5 inches, but the radius of can p is 2 inches, and the radius of can q is 4 inches. how many times larger is the volume of can q than the volume of can p?
Answer: B. 4
Sorry for the really late answer
Step-by-step explanation:
If the radius of a right circular cylinder is multiplied by k, and its height does not change, then the volume of the cylinder is multiplied by k². The radius of can Q is twice as great as the radius of can p. Therefor, the volume of can Q is 2², or 4 times larger than the volume of can p.
Please help I don't get this
Answer:
5(t+6). I think this may helps you
$3.36 for 16 ounces
$3.60 for 20 ounces
$4.08 for 24 ounces
$5.44 for 32 ounces
Answer:
.1825 per ounce
Step-by-step explanation:
find the per ounce for each equation, then find the average per ounces from the 4 equations
3x-6y=-12
6x+6y=30
What is the value of x and y
Answer:
(2,3) or x=2 and y=3
Step-by-step explanation:
find x...
3x-6y= -12
3x = 6y-12
x = 2y-4
plug x into the other equation
6(2y-4) + 6y = 30
12y-24 +6y = 30
18y = 54
y = 3
Plug y into an equation to find x
3x-6(3) = -12
3x-18= -12
3x=6
x=2
[Answer] y=3 and x=2 or (2,3)
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
How much money will
be spent in interest
alone over the course of
the 4% 30-year
mortgage described in
the table?
Answer:
the answer is 4,800 dollars
Step-by-step explanation:
Interest is amount added for time. In this case, every dollar borrowed will require 1.04 back. This may not seem like much, but it leads to a lot. Multiplying 120,000 by .04, which is 4 % in decimal form, will give you 4,800 dollars.
Hope this helps!
What is the square of the sum of the first 5 Square numbers?
Answer:
3025
Step-by-step explanation: Add the first five square numbers together then square that.
1²+2²+3²+4²+5² = 55
55² = 3025
Use your calculator to find sin-1(0.48) to the nearest degree
Using your calculator the inverse sine of 0.48(sin⁻¹ 0.48) to the nearest degrees is 29 degrees.
How to use calculator to find inverse sine of a number
According to the question, we are to use calculator to find the inverse sine of 0.48. This can be represented mathematically as follows:
sin⁻¹ 0.48
The exponential -1 tells us that it is an inverse sine.
The picture below gives are more pictorial way to use calculator to find inverse sine of 0.48.
Always check if your calculator is set in degree and not radian.
Therefore,
sin⁻¹ 0.48 = 28.6854020141
To the nearest degrees,
sin⁻¹ 0.48 = 29°
learn more on inverse sin here: https://brainly.com/question/11585339
solve linear systems by multiplying
3x+y=-15
2x-3y=23
Answer:
x=-2, y=-9
Step-by-step explanation:
Given that:
[tex]\begin{bmatrix}3x+y=-15\\ 2x-3y=23\end{bmatrix}[/tex]
Solution:
[tex]\mathrm{Isolate\;x\;for\;3x+y=-15:x=\frac{-15-y}{3}}[/tex]
[tex]\mathrm{Substitute\:}x=\frac{-15-y}{3}[/tex]
[tex]\begin{bmatrix}2\cdot \frac{-15-y}{3}-3y=23\end{bmatrix}[/tex]
Simplify to:
[tex]\begin{bmatrix}\frac{-30-11y}{3}=23\end{bmatrix}[/tex]
[tex]\mathrm{Isolate\;y\;for\;\frac{-30-11y}{3}=23:y=-9}[/tex]
[tex]\mathrm{For\:}x=\frac{-15-y}{3}[/tex]
[tex]\mathrm{Substitute\:}y=-9[/tex]
[tex]x=\frac{-15-\left(-9\right)}{3}[/tex]
Solve:
[tex]x=-2[/tex]
Hence the answer is:
[tex]x=-2,\:y=-9[/tex]
~lenvy~
A tunnel for an amusement park ride has the shape of a
regular hexagonal prism with dimensions shown. The prism
has a volume of 3,572.1 cubic meters. Can two 8-meter cars
connected by a 3-meter connector pass through the tunnel
at the same time? Explain.
The 3,572.1 m³ volume of the hexagon and the 19 m. length of the cars and 3-m connector, gives;
Yes, two cars connected by a 3 meter connector can pass through the tunnel at the same timeHow can the capacity of the tunnel be found?From a similar question, we have;
Side length of the hexagon = 8.1 m
Perpendicular distance from the center to a side of the hexagon = 7 m.
Therefore;
Cross sectional area of the hexagon, A is found as follows;
A = 6 × 0.5 × 7 × 8.1 = 170.1
Length of the tunnel, D = 3572.1 ÷ 170.1 = 21
D = 21 meters
Length of two cars and a connector, L = 8 + 8 + 3 = 19
The tunnel length, D = 21 m. is longer than the length of two cars and the connector, L = 19 m.
Therefore;
Two cars connected by a 3 meter connector can pass through the tunnel at the same time.Learn more about the volume of a prism here;
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I WILL GIVE BRAINLIEST! PLEASE ANSWER CORRECTLY!
4. Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros.
5. Create a graph of the polynomial function you created in Question 4
Answer:
4. equation: f(x)=(x-2)(x-1)
direction: parabola faces up bc a is positive
y-intercept: (0,2)
zeros/x-intercepts: (1,0) & (2,0)
5. graph is attached (i used desmos)
What is the solution to the equation t minus 15 = 76?
t minus 15 = 76. t minus 15 minus 15 = 76 + 15. t = 91.
t minus 15 = 76. t minus 15 + 15 = 76 + 15. t = 91.
t minus 15 = 76. t minus 15 minus 15 = 76 minus 15. t = 61.
t minus 15 = 76. t minus 15 + 15 = 76 minus 15. t = 61.
Answer:
4. / D.
Step-by-step explanation:
[tex]t-15=76\\t=76-15\\t=61[/tex]
Answer:
The answer is B
Step-by-step explanation:
I got it right
:-)
The measure of supplementy is an angle which is (a) 36° (b) 144° (c) 79° (d) 101°
Answer:
Supplementary angles add up to = 180. Whatever the value of x is must add up with one of these answer choices to = 180 degrees. I am not provided this information, so this is all I got.
Step-by-step explanation:
An unknown number is not equal to 3.6 but rounds to 3.6 when rounded to the nearest tenth. what does the unknown number round to when rounded to the nearest whole?
The answer would be 4
I will mark the right answer brainliest
Answer:
∠TAN = 36°
Explanation:
The figure shows an isoceles triangle.An isoceles triangle has two equal sides and equal angle measure.
The total interior angle of a triangle sum ups to 180°
∠TAN = ∠TNA
=========
∠TAN + ∠TNA + ∠ATN = 180°2∠TAN = 180° - 108°2∠TAN = 72°∠TAN = 36°Answer:
B
Step-by-step explanation:
the sides of a regular pentagon are congruent , then
AT = NT and so Δ TAN is isosceles with base angles congruent , so
∠ TAN = [tex]\frac{180-108}{2}[/tex] = [tex]\frac{72}{2}[/tex] = 36° → B
Question 7: David wants to fill his water bottle. The cylindrical bottle has a radius of 4.5 in and a height of 9.10 in. How much water will he need if 3 ounces of water is equivalent to 2 cubic inches?
1st question
volume of the bottle in inches ?
cylinder volume = area x height
= pi x r² x h
= 3,14 x 4,5² x 9,10
the bottle volume is 578,62 in³
then
3 ounces of water...........2 in³
? ounces of water..........578,62 in³
? = 3 x 578,62 : 2
? ≈ 868 ounces of water
The cheer squad is ordering small towels to throw into the stands at the next pep rally. The printing company has quoted the following prices. Which function defined below represents the cost, C, in dollars for an order of x towels?.
The function D represents the cost is $175 for of x towels.
For the first 20 towels, the equation is simply 5x.
The 5 is the cost per towel ($5) times the number of towels sold up to and including 20 towels.
What is the meaning of maximum cost of 20 towels?
Replace x by 20 in given expression we get the maximum cost
So the maximum cost of those 20 towels is $5 (20)=$100.
Looking at towels 21 and greater, the price drops to $3 each. Putting this in a formula,
Therefore we get,
3(x-20)+100
Which is $3 for the cost per towel, (x-20) since it starts with towel number 21, and +100 for the cost of the first 20 towels.
Let's try it for 45 towels using the formula
3 (45-20)+ 100
=3(25) + 100
=75+ 100
= $175
The function D represents the cost is $175 for of x towels.
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Answer:
d
Step-by-step explanation:
edge 2022
PLEASE HELP ME I CANT GET IT RIGHT
Answer:
I believe the answer is 760 ft²
Step-by-step explanation:
16×39/2=312
(17+39)(16)/2=448
448+312=760ft²
let me know if it was right. good luck!
Determine if the equation has no solution,one solution, or infinite many solution.
Give an explanation step by step.
-2(11-12)=-4(1-6x)
Answer:
Step-by-step explanation:
-2(11-12)=-4(1-6x) becomes -2(-1) = -4(1 - 6x)
Next, we divide both sides by -2, obtaining -1 = 2(1 - 6x), and then
-1 = 2 -12x, or
-3 = -12x
Simplifying this result, we get 1 = 4x, or x = 1/4
We conclude that -2(11-12)=-4(1-6x) has ONE solution, which is x = 1/4
A snack-size bag of pretzels contains 0.5 ounce. How many ounces of pretzels come in a bulk pack that contains 64 snack size bags.
[tex]__________________________[/tex]
Given:Each bag of pretzels contain = 0.5 ozAnswer & Solution:64 x 0.5 oz = 32 oz
Therefore, 64 bags of pretzels contains 32 oz of pretzels.
What is the length of the line segment whose endpoints are A(-1,9) and B(7,4) in the simplest radical form?
length : [tex]\sf \sqrt{89}[/tex]
Explanation:
use the distance formula : [tex]\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
using the formula:[tex]\sf \rightarrow \sf \sf \sqrt{(7--1)^2+(4-9)^2}[/tex]
[tex]\sf \rightarrow \sf \sf \sqrt{(8)^2+(-5)^2}[/tex]
[tex]\sf \rightarrow \sf \sf \sqrt{64+25}[/tex]
[tex]\sf \rightarrow \sf \sf \sqrt{89}[/tex]
Answer:
[tex]\sf \sqrt{89}[/tex]
Step-by-step explanation:
Let A = [tex]\sf (x_1,y_1)[/tex] = (-1, 9)
Let B = [tex]\sf (x_2,y_2)[/tex] = (7, 4)
Distance formula:
[tex]\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Input values into the distance formula and solve for d:
[tex]\sf \implies d=\sqrt{(7-(-1))^2+(4-9)^2}[/tex]
[tex]\sf \implies d=\sqrt{8^2+(-5)^2}[/tex]
[tex]\sf \implies d=\sqrt{64+25}[/tex]
[tex]\sf \implies d=\sqrt{89}[/tex]
Find YZ and WZ in rectangle WXYZ.
Answer: WZ=10, YZ=15
Step-by-step explanation:
Alison had 310 rocks in her rock collection. After three months, her collection increases by 40%. How many rocks does Alison have now?
Answer:
434
Step-by-step explanation:
310 times .4 (percentage) = 124 which is how much she gained, then you add that onto the original amount to find how many she has now, which is 434
i need help with this problem
Answer:
the pizza one is 4/8
Step-by-step explanation:
skating one 6.75 miles
What is the slope of the line that passes through the points (2,8) and (12,20)?
Write your answer in simplest form.
The slope of the required line is [tex]\frac{6}{5}[/tex].
Thus, the slope of the line passing through (2,8) and (12,20) is [tex]\frac{6}{5}[/tex] .
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Lily has a mask collection. She keeps some in a display case and the rest on the wall. 365 of her masks are on the wall, and 27% of her masks are in the display case. What is the total number of masks in Lily's collection?
Step-by-step explanation:
this answer is that correct
brain lest
If 365 of her masks are on the wall, and 27% of her masks are in the display case. Then 467 marks are the total number of masks in Lily's collection
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Lily keeps masks in a display case and the rest on the wall.
365 of her masks are on the wall.
27% of her masks are in the display case
We need to find what is 27% of 365 to solve this problem
27/100×365=0.27×365
=98.55
Now we need to find the total number of masks in Lily's collection
365+98.55
463.55
467
Hence, 467 are total number of masks in Lily's collection.
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Kevin has a deck of cards. There are 10diamonds, 5 spades, 12 clubs and 3 hearts.A card was chosen at random. What is the
probability of not choosing a diamond card?
Answer: 2/3.
Step-by-step explanation: When you add all the spades, hearts, clubs, and diamonds cards together, you get 30 in total. 1/3 of the 30 cards in total are diamonds, so the other 2/3 can be drawn as well. The probability of not choosing a diamond card is 2/3, since the remaining 1/3 is all diamonds.
Have a great day! :)