Answer:
5.49 pounds
Step-by-step explanation:
Given data
Amir bought 3 2/3 pounds of rice= 11/3 pounds= 3.66 pounds
Owen bought 1 1/2 times or 1.5 times as much as Amir bought
Hence 1.5 time of 3.66
=1.5*3.66
=5.49 pounds in decimal
Given \sin A=\frac{5}{\sqrt{89}}sinA=
89
5
and that angle AA is in Quadrant I, find the exact value of \cos AcosA in simplest radical form using a rational denominator.
Answer:
First don't forget the [ tex ] [ /tex ] in order to execute the latex code.
Step-by-step explanation:
[tex] \sin A=\frac{5}{\sqrt{89}}sinA= 89 [/tex]
[tex] \cos AcosA [/tex] = [tex] \cos [/tex]
The exact value of cosine of angle A for the considered case using a rational denominator in simplest radical form is 8√(89)/89
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Given that:
[tex]\sin A=\dfrac{5}{\sqrt{89}}[/tex]
So, from this, we are given the ratio of perpendicular and hypotenuse from the perspective of angle A.
There must be existing a right triangle with same measure of angle A such that:
Perpendicular's length = P = 5 units
and Hypotenuse' length = H = [tex]\sqrt{89}[/tex] units.
Using Pythagoras theorem, we get:
Base' length = B as:
[tex]P^2 + B^2 = H^2\\B = \sqrt{H^2 - P^2}\\\\B = \sqrt{(\sqrt{89})^2 - 5^2}\\\\B = \sqrt{89-25} = \sqrt{64} = 8[/tex]
(took positive root as B is representing length, a non-negative quantity).
Thus, Base is of 8 units length.
Thus, we get:
[tex]\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\cos(A) = \dfrac{B}{H} = \dfrac{8}{\sqrt{89}}[/tex]
Rationalizing, we get:
[tex]\cos(A) = \dfrac{8}{\sqrt{89}} =\dfrac{8}{\sqrt{89}} \times \dfrac{\sqrt{89}}{\sqrt{89}} \\\\\cos(A) = \dfrac{8\sqrt{89}}{89}[/tex]
Thus, the exact value of cosine of angle A for the considered case using a rational denominator in simplest radical form is [tex]\dfrac{8\sqrt{89}}{89}[/tex]
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
A
Step-by-step explanation:
x is greater than 2 so all numbers bigger than 2 will be shaded. the circle is open because its not less than or equal to or greater than or equal to.
What is the the measure of
Answer:
∠P=29°
Step-by-step explanation:
The exterior angle theorem says that the exterior angle of a triangle is equal to the sum of the two remote interior angles.
56=∠P+27
∠P=56-27
∠P=29
Please help me with this problem and thank you Find the lateral area of this cone leave your answer in terms of pie
9514 1404 393
Answer:
260π in²
Step-by-step explanation:
The slant height is the hypotenuse of a right triangle with legs 10 and 24. Using the Pythagorean theorem, we find it to be ...
l² = 10² +24² = 100 +576 = 676
l = √676 = 26
The given formula tells you the lateral area is ...
A = πrl = π(10 in)(26 in)
A = 260π in² . . . . . cone's lateral area
_____
Additional comment
The name of the constant relating diameter to circumference (π) is "pi". It is the 16th letter of the Greek alphabet. "Pie" is something else entirely.
Answer:
260[tex]\pi in^{2}[/tex]
Step-by-step explanation:
plss help i really need this! i really need serious answer :(
Answer:
1) 4
2) 15/2
3) 75
Step-by-step explanation:
Answer:
BD is midsegment parallel to CEMidsegment is the half the parallel side1. If BD = 2, then CE = 2*BD = 2*2 = 4
2. If AC = 15, the AB = 1.2*15 = 7.5
3. If m∠ADB = 75°, then m∠AEC = m∠ADB = 75° as corresponding angles
4. If AE = 6x + 8 and BD = 18, then x is:
this is confusing, there is no direct relationship between these two segments5. If BD = x + 1 and CE = x + 10 then:
2(x + 1) = x + 10 ⇒ 2x + 2 = x + 10 ⇒ x = 8
The hypotenuse of a right triangle is 10 inches long. The longer leg is 2 inches longer than the shorter leg. Find the side lengths of the triangle.
Answer: Shorter leg = 6 inches
Longer leg = 6+2 = 8 inches
Step-by-step explanation:
Let the shorter leg bw represented by x.
Therefore, the longer leg will be x+2.
The hypothenuse is 10inches
We should note that in Pythagoras theorem, the square of the longer and shorter side equals the square of the hypothenuse. This will be:
x² + (x+2)² = 10²
x² + x² + 4x + 4 = 100
2x² + 4x = 100 - 4
2x² + 4x = 96
2x² + 4x - 96 = 0
x² + 2x - 48 = 0
x² + 8x - 6x - 48 = 0
x(x + 8) -6(x + 8) = 0
x - 6 = 0
x = 0+6.
x = 6
Shorter leg = 6 inches
Longer leg = 6+2 = 8 inches
Find the length of leg " a" if leg "b" = 12 and the hypotenuse "c" is 13
HELP I NEED HELP ASAP
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HELP I NEED HELP ASAP
Answer:
I think it its
Step-by-step explanation:
C if its wrong sorry
I need help with this asap
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The photo has a width of 720 pixels. The photo has a height of 540 pixels.
(a) Write down the ratio of the width of the photo to the height of the photo. Give your ratio in its simplest form.
Answer:
Required Answer :-Ratio = Width: Height
Ratio = 720 : 540
Cancelling 0
Ratio = 72 : 54
Cancelling by 9
Ratio = 8 : 6
Cancelling be 2
Ratio = 4 : 3
PLS HELP IT’S PAST DUE!
Answer:
i believe 95 ft ² but I'm not sure sorry
Answer:
95
Step-by-step explanation:
this seems to be a triangular prism. Hopefull this works?
6*1/3 (5+5+5)=95
Use the box method to distribute and simplify (-x + 3)(4x + 4). Drag and
drop the terms to the correct locations of the table.
look at png sorry i need to type 20 characters but the chart explains everything
simplify your answer but adding/subtracting like terms
Carlos finished 5/8 of his art project. Tyler finished 7/8 of his project on Monday. Who finished more of his art project on Monday?
A book contains 27 pages with print and 8 pages with print and pictures and 3 blank pages with is the theoretical probability of not opening the book to a printed page only
Answer: 11/38
Step-by-step explanation: x - y v q r 2÷x029 2%.091 57rq x2 = 11/38
Does this graph show a function?
9514 1404 393
Answer:
A
Step-by-step explanation:
A vertical line intersects the graph in more than one place. As a consequence, we say the graph "fails the vertical line test." When the test fails, the graph is not a graph of a function.
Are there more than one outlier?
Answer:
yes there is two
Step-by-step explanation:
the outlier is the ones that are away from all the others
Answer:
Yes there is
Step-by-step explanation:
There are Many more outliers since the data points are scattered
Mr. Franco’s seventh grade science class recorded the daily high temperatures during the month of November. The temperatures are shown in the table.
Daily High Temperatures (°F)
38
36
34
34
30
35
40
37
28
26
33
42
23
30
22
35
24
24
32
26
29
33
30
28
28
34
20
29
23
25
What is the upper quartile of the daily high temperatures?
a.
30
c.
34
b.
36
d.
42
Please select the best answer from the choices provided
A
B
C
D
Answer:
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bsjsns kskka nanhh aja. sjjab ajj. suhb sjb bsbhshs habaj janab habba
(m−n)(m^−m2+n^) simplify
Answer:
Step-by-step explanation:
(
−
)
(
−
2
+
)
Assume you have a credit card balance of $1,000. Your inter est rate on the credit card is 18 percent, and your minimum monthly payments are $ 50. At this rate, how long will it take to your credit card? What would your payment need to be to pay it off in three years? How long would it take to pay off your debt if your interest rate is 14 percent and your minimum monthly payments are $50 ? Use a financial calculator or an on line calculator to do your computations .
find the equation of the circle given the endpoints of the diameter (3,-5) and (-7,3). write the equation in center-radius form.
Step-by-step explanation:
Halfway from x = -7 and x= 3 is --2, Similarly, y is -1. The center is at (-2, -1). The radius is the distance from the center to one of the diameter endpoints: sqrt ( 5 squared plus 4 squared ), or sqrt(41).
The equation of the circle is
(x + 1) squared plus (y + 1) squared = 41
Solve for x. Enter the solutions from least to greatest. 6x^2 +1 =487 lesser=x greater=x
Answer:
(-9, 9)
Step-by-step explanation:
[tex]6x^{2} +1 = 487[/tex] (Given)
-1 -1 (Getting "x" alone)
[tex]6x^{2} = 486[/tex] (Cont. Getting "x" alone)
÷6 ÷6 ↓
[tex]x^{2} = 81[/tex] ↓
[tex]\sqrt{x} ^2 = \sqrt{81}[/tex] (9 and -9 squared are both equal to 81)
↓ ↓ ↓
x = 9 x = -9 (Answer)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Dante invests $3,500 and learns 2% in simple interest each year assuming he makes no additional deposits or withdrawals how much will his investment be worth in 5 years
Answer:
answer in the picture
Step-by-step explanation:
There are 18 boys and 46 girls in a class,
87.5% of the students in the class take the bus
to school. How many students do not take the
bus to school?
Answer:
8
Step-by-step explanation:
18+46=64
87.5% of 64=56
64-56=8
56 take the bus
8 dont take the bus
Use the GCF to factor: 90u + 80q
Answer:
10(9u+8q)
Step-by-step explanation:
In 16-19, use the equations to compete the tables. (Picture provided)
Answer:
16. 20, 25
17. 3, 4
18. 5, 7
19. 6.5, 5, 3.5, 2, 0.5
Step-by-step explanation:
The way you would solve this is by replacing the variable with an x-value, the answer would be the y-value.
Please answer this question fill in the blanks
Answer:
First blank is 4.47 and second blank is 4.97
Step-by-step explanation:
It is going up by adding 0.25
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
3
Answer:
T(-3,-2)
Step-by-step explanation:
R(x,y)
R(3,2)
P(6,0)
N(0,-4)
find the area of the figure drawn on the coordinate plane below
Answer:
-24
Step-by-step explanation:
Celia wants to buy grass seed to cover her whole lawn, except for the pool. The pool is 6 1/2 m by 3 1/4 m. Find the area the grass seed needs to cover.
Answer:
SINCE YOU WROTE ANYTHING ON MINES IM DOING THE SAME Step-by-step explanation:
Answer my question and I’ll give you points, stars, and brainlest
Put the # of the question and than answer it.
I need the answer now