Answer:
henry gets 231
Step-by-step explanation:
my head
Answer:
231
Step-by-step explanation:
Let's consider that Gavin got X pounds.
Then Henry gets 3 times as much as Gavin => 3X
And Mark gets twice as much as Henry => 2 * 3X
Together they get 770, so:
X + 3X + 2*3X = 770
10X = 770 => X = 77
As we mentioned, Henry gets 3X, so
3X = 3 * 77 = 231
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
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
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
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
I think it its
Step-by-step explanation:
C if its wrong sorry
(m−n)(m^−m2+n^) simplify
Answer:
Step-by-step explanation:
(
−
)
(
−
2
+
)
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.
Careers that require a college education often utilize ____________ skills.
A.
professional
B.
vocational
C.
basic
D.
direct
Answer:
the correct answer is A professional
Step-by-step explanation:
hii please help i’ll give brainliest
The third one from the top.
Answer:
Third one!
Step-by-step explanation:
The first one is positive so no, second is also positive, and last one is before -1 so no. Hope this helped! <3
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
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?
Norachai invests $3,183 in a retirement
account with a fixed annual interest rate of
2% compounded 6 times per year. What
will the account balance be after 18 years?
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:
What is the area of the shaded region in the given circle in terms of pi and in simplest form?
A) (120pi + 6 sqrt 3) m^2
B) (96pi + 36 sqrt 3) m^2
C) (120pi + 36 sqrt 3) m^2
D) (96pi + 6 sqrt 3) m^2
Answer:(120pi +6 square root 3) msquared
Step-by-step explanation:
What’s the answer to this?
Answer:
18
Step-by-step explanation:
;0
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.
HELP ME PLEASE I'll give brainless.
Answer:
∠VUX +∠VUS = 180° (straight line)
So, ∠VUS = 137°
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.
Which equation best models the data in the table below?
Answer:
A) y = 0.76x + 3.72
Step-by-step explanation:
Data points: (2, 5) and (11,12)
Slope:
m=(y2-y1)/(x2-x1)
m=(12-5)/(11-2)
m=(7)/9
m= 0.78
Slope-intercept:
y - y1 = m(x - x1)
y - 5 = 0.78(x - 2)
y - 5 = 0.78x - 1.56
y = 0.78x + 3.44
Choice A is the closest to this solution
find the area of the figure drawn on the coordinate plane below
Answer:
-24
Step-by-step explanation:
What is the answer to this problem above?
Answer:
Value of f (Parapedicular) = 7√6
Step-by-step explanation:
Given:
Given triangle is a right angle triangle
Value of base = 7√2
Angle made by base and hypotenuse = 60°
Find:
Value of f (Parapedicular)
Computation:
Using trigonometry application
Tanθ = Parapedicular / Base
Tan60 = Parapedicular / 7√2
√3 = Parapedicular / 7√2
Value of f (Parapedicular) = 7√2 x √3
Value of f (Parapedicular) = 7√6
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
I need help with this asap
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
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
The number of the given fraction is 4 less than the denominator. If 5 is added to both the numerator and the denominator, the resulting fraction is equivalent to 5/7. What is the original fraction?
Answer:
5/9
Step-by-step explanation:
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:
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)
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 .
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:
. jsjjsjsjsns jsjikans bjsbbsj. abianan sjsboa kahs hai sbbsjan
bsjsns kskka nanhh aja. sjjab ajj. suhb sjb bsbhshs habaj janab habba
Use the GCF to factor: 90u + 80q
Answer:
10(9u+8q)
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