Answer:
See Explanation
Step-by-step explanation:
[tex]A+B= 45 \degree \\ \\ assuming \: \tan \: on \: both \: sides \\ \\\implies \: \tan( A+B)= \tan 45 \degree \\ \\ \implies \: \tan( A+B)= 1 \: \: \\ ( \because \: \tan 45 \degree = 1) \\ \\ \implies \: \frac{\tan \: A +\tan \: B }{1 - \tan \: A .\tan \: B } = 1 \\ \\ \implies \: \tan \: A +\tan \: B = 1 - \tan \: A .\tan \: B \\ \\ \purple{ \implies }\: \orange{ \bold{\tan \: A +\tan \: B + \tan \: A .\tan \: B= 1 }} \\ \\ thus \: proved[/tex]
a
In golf, player A plays 320 good rounds out of a total of 400 rounds.
Player B plays 300 good rounds out of a total of 350 rounds.
What is each player's success rate:
a) as a ratio b) as a percentage?
Do the percentages tell you which player is the better golfer?
Justify your answer.
Step-by-step explanation:
Player A persentage of success =(320/400)*100=80%
Player B persentage of success =(300/350)*100=85. 741
A ratio =8/10
B ratio =8.5741/10
Player b is the better player
Graph g(x)=5|x -6|+2g(x)=5∣x−6∣+2g, left parenthesis, x, right parenthesis, equals, 5, vertical bar, x, minus, 6, vertical bar, plus, 2.
The graph of the absolute value function can be seen at the end of the answer. There we see a translated and dilated parent function.
How to graph the absolute value function?Here we want to graph:
g(x) = 5*|x - 6| + 2
First, remember that the minimum of the absolute value part |f(x)| is 0, so the minimum of the above function is 2, and that happens when x = 6. That will be the vertex of our function.
From that point, we will have two lines, one that goes to the right with a slope of 5, and the other that goes to the left with slope of -5 (the coefficient that multiplies the absolute value part of the function).
The graph of the function can be seen below.
If you want to learn more about absolute value functions, you can read:
https://brainly.com/question/3381225
Answer:6,2 & 7,7
Step-by-step explanation:
this is the last one i need help on, please help
Answer:
options 4 and 6 I believe
what is the measure of ABC ?
Answer:
D
Step-by-step explanation:
Also do we have to show our work?
PLEASE HELP I WILL LITERALLY GIVE BRAINLIEST
Insert missing monomials such that each trinomial becomes a perfect square
25b^2+70b+ ...
Answer: the answer to this question is 49
Step-by-step explanation: because (a+b)2 = a2 + 2ab +b2 = Perfect square trinomial
An engineer is tasked with doubling the length and width of a city park. The engineer draws the park on a coordinate plane and labels it ABCD. Find the area of the park before and after the expansion. A coordinate plane with Square A B C D plotted. Point A is at zero comma three. Point B is at thee comma three. Point C is at three comma zero, Point D is at zero comma zero. A photo of a park with a caption that says, dimensions of park are being doubled. What is the area of the park before the expansion?
The vertex coordinates of the park the engineer draws, A(0, 3), B(3, 3),
C(3, 0), D(0, 0) give the area of the park before expansion as 9 unit².
How can the area of the park be found?
The shape of the park = A square
The vertices of the park = ABCD
The coordinates of the point are; A(0, 3), B(3, 3), C(3, 0), D(0, 0)
The length of side AB = 3 - 0 = 3
Length of side BC = 3 - 0 = 3
Length of side CD = 3 - 0 = 3
Length of side AD = 3 - 0 = 3
Therefore, the park is a square with side length, s = 3 units
The area of a square, A = Side × Side = s²
The area of the park before expansion, A = 3 unit × 3 unit = 9 unit²
Learn more about finding the area of geometric shapes here:
https://brainly.com/question/316492
find the area of this figure. round your answer to the nearest hundredth. use 3.14 to approximate pi
Answer:
51.63 m²
Step-by-step explanation:
[tex]\textsf{Area of a semicircle} =\dfrac12\pi r^2[/tex]
Given:
[tex]\pi =3.14[/tex][tex]\textsf{diameter}=6 \textsf{ m}\implies \textsf{radius}=3 \textsf{ m}[/tex][tex]\implies \textsf{area}=\dfrac12 \times 3.14 \times 3^2=14.13[/tex]
[tex]\textsf{Area of a triangle} =\dfrac12 \times \textsf{base} \times \textsf{height}[/tex]
Given:
base = 3 mheight = 5 m[tex]\implies \textsf{area}=\dfrac12 \times 3 \times 5=7.5[/tex]
[tex]\textsf{Area of a rectangle} =\textsf{width} \times \textsf{length}[/tex]
Given:
width = 5 mlength = 6 m[tex]\implies \textsf{area}=5 \times 6=30[/tex]
Total area = area of semicircle + area of triangle + area of rectangle
= 14.13 + 7.5 + 30
= 51.63 m²
Solution:
Step-1: Find the area of the triangle.
[tex]\text{Area of triangle} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
[tex]\text{Area of triangle} = \dfrac{1}{2} \times 3 \times 5[/tex]
[tex]\text{Area of triangle} = 3 \times 2.5[/tex]
[tex]\text{Area of triangle} = 7.5 \ \text{m}^{2}[/tex]
Step-2: Find the area of the rectangle.
[tex]\text{Area of rectangle} = \text{LB}[/tex]
[tex]\text{Area of rectangle} = (6)(5)[/tex]
[tex]\text{Area of rectangle} = 30 \ \text{m}^{2}[/tex]
Step-3: Find the radius of the semi-circle.
[tex]\text{Diameter = 2(Radius)}[/tex]
[tex]6 \ \text{m = 2(Radius)}[/tex]
[tex]\dfrac{6}{2} \ \text{m} = \dfrac{2\text{(Radius)}}{2}[/tex]
[tex]3 \ \text{m} = \text{Radius}[/tex]
Step-4: Find the area of the semi-circle.
[tex]\text{Area of semi-circle} = \dfrac{\pi r^{2} }{2}[/tex]
[tex]\text{Area of semi-circle} = \dfrac{(3.14)( 3^{2} )}{2}[/tex]
[tex]\text{Area of semi-circle} = \dfrac{(3.14)(9 )}{2}[/tex]
[tex]\text{Area of semi-circle} = (3.14)(4.5 )[/tex]
[tex]\text{Area of semi-circle} = 14.13 \ \text{m}^{2}[/tex]
Step-5: Find the area of the figure.
[tex]\text{Area of figure = Area of triangle + Area of rectangle + Area of semicircle}[/tex]
[tex]\text{Area of figure = 7.5 + 30 + 14.13}[/tex]
[tex]\boxed{\text{Area of figure = 51.63 m}^{2}}[/tex]
find the length of the diameter of circle 0
Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33
Find the ending balance
if $2,000 was deposited
at 4% annual interest
compounded
semi-annually for 6 years.
The ending balance would be $2,536.48
Answer:
the person above has the answer:>
Factorise 4x² + 2y² + x²y² + 8
Answer:
[tex]4x² + 2y² + x²y² + 8 \\arranging \: them \\ 4 {x}^{2} + {x}^{2} {y}^{2} + 2 {y}^{2} + 8 \\ {x}^{2} (4 + {y}^{2} ) + 2(y^{2} + 4) \\ ({x}^{2} + 2)(y^{2} + 4)[/tex]
Answer:
(4 + y^2) ( x^2 + 2)
Step-by-step explanation:
irst rearrange the terms
4x^2 + x^2 y^2 + 2y^2 + 8
then factorise
x2 ( 4 + y^2) + 2 ( y^2 + 4)
group like terms together and insert the remaining terms into a bracket
(4 + y^2) ( x^2 + 2)
Solve 6!
Enter
how to solve six using factorials
'n!' is a factorial.
A factorial is equal to [tex]n*(n-1)*(n-2)*(n-3)*... * 2 * 1[/tex].
Since in this case n = 6, then:
[tex]6! = 6 * 5 * 4 * 3 * 2 *1 = 720[/tex]
Thus 6! = 720.
Hope it helps!
How do the slopes and y–intercepts of the two equations compare?.
The two equations with slope and y-intercept are compared as the lines may be intersecting, parallel, and coincident.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Let the two equations in the form of slope and y-intercept.
[tex]\rm L_1: y = m_1x +c_1\\\\L_2: y = m_2x +c_2[/tex]
There are three cases are as follows;
Case 1 - If lines are intersecting then the slope of both equations will be different.
Case 2 - If lines are parallel then the slope of lines are same but the intercept will be different.
Case 3 - If lines are coincident their slope and the intercept will be the same.
More about the linear system link is given below.
https://brainly.com/question/20379472
1. Manuela can type about 150 words in 4 minut At this rate, about how long will she take to typ 2000 words?
its 150 x 13 or atleast the closest estimate so its either 150 x 13 or 14
Step-by-step explanation:
multipliy by 150 x 13 or 14
Find the missing variables
Answer:
x = y = 102.5°
Step-by-step explanation:
x and y are congruent.
the sum of the 4 angles in a kite = 360°
subtract the 2 given angles from 360°
360° - 95° - 60° = 360° - 155° = 205° , then
x = y = 205° ÷ 2 = 102.5°
A teenager put 50$ into an account in January. If by December the increases by 17%, what is the amount of money in the account in December ?
List the two outliers in this graph.
Answer:
(10.5,14) and (15,3.5)
Step-by-step explanation:
Sam is paying off his eight-year, $15,360 loan in semiannual installments. the loan has an interest rate of 9.58%, compounded semiannually, and a service charge of $1,294.64. once the loan has been fully paid off, what percentage of the total finance charge will the service charge be? round all dollar values to the nearest cent. a. 5.48% b. 8.43% c. 18.55% d. 15.65% please select the best answer from the choices provided a b c d
The percentage of the total finance charge will the service charge is 15.65%. Then the correct option is D.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Sam is paying off his eight-year, $15,360 loan in semiannual installments.
The loan has an interest rate of 9.58%, compounded semiannually, and a service charge of $1,294.64. Once the loan has been fully paid off.
A = $15360
r = 0.0958/2 = 0.0479
n = 8 × 2 = 16
The periodic payment is given as
[tex]\rm A = P (\dfrac{1-(1+r)^{-n}}{r})[/tex]
Where P is Periodic payment
r = rate per period
n = number of period
Then we have
[tex]\rm 15360 = P(\dfrac{1-(1+0.0479)^{-16}}{0.0479})\\\\\\ P = 1396.16[/tex]
Then Sam will pay a total of 1396.16 × 16 = $22,338.56
Interest charge = 22338.56 – 15360 = $6978.56
Total finance charge = 6978.56 + 1294.64 = $8273.20
Then the percentage of the total finance charge will the service charge will be
[tex]\rm Percentage = \dfrac{1294.64}{8273.20}*100\\\\Percentage = 15.65 \%[/tex]
More about the percentage link is given below.
https://brainly.com/question/8011401
Can someone give me the answer to this question please ?
Answer:
YOU HAVE TO GRAPH (3,0) TO GET THE ANSWER
Step-by-step explanation:
what number is 2/3 of the way from 5 to 14?
5 is 9 away from 14
so 2/3rds of the way would be 6 away from 5
so that'd be 11
(brainliest for right answer)
a toy store finds that the number of items sold is represented by the expression 3c+8. the cost per item is c dollars. the amount of money made is the product of the number of items sold and the cost per item. if the company made $3,200, what equation can be used to determine the cost per item?
a. 3c+8=3200
b. 11c^2=3200
c. 4c+8=3200
d. 3c^2+8c=3200
Answer:
d.
[tex]3 {c}^{2} + 8c = 3200[/tex]
Could Y'all Please Help Me! I'll Give you Good Points!
Answer:
I would say its D
Step-by-step explanation:
10:9:10 is the original ratio
It gets turned into 1:1:2, making it very distorted
The formula for an area of a triangle is :____.
Answer:
Area of a triangle
Step-by-step explanation:
A= [tex]\frac{1}{2}[/tex]bh
A: area
b: base
h: height
hope this helps..
There is a bag filled with 5 blue, 2 red and 3 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?
Answer:
7/25
Step-by-step explanation:
working out above.
To find the probability = Times BB RR and GG
then at the end add them all together.
A triangle prism is 21 yards long and has a triangular face with a base of 12 yards and a height of 8 yards the other two sides of a triangle are each 10 yards what is the surface area of the triangular prism
first find perimeter and area of base
then, find tsa of triangular prism
as done in the solution above!
Need help asap giving 15 points
Answer:
384
Step-by-step explanation:
a= 6a^2
a = 8
A = 6*8^2 = 6*64 = 384 in
A = 384 in
when does the equation of a line in slope-intercept form look just like its equation in point slope form ???
with explanation
Answer: y = mx + b
Step-by-step explanation:
i think this is what ur asking but “y” is the coordinate of the y-axis with “x” being the coordinate of the x-axis. m is the slope of the graph
convert 80cm³ to ml
convert 450ml to cm³
pls asap i really need it
Answer:
a) 80 ml
b) 450 cm³
Step-by-step explanation:
A) solution
1 cm³ = 1 ml
80 cm³ = 80 ml
B) solution
1 ml = 1 cm³
450 ml = 450 cm³
any one who is still up i need help pls
Answer:
m = 5
Step-by-step explanation:
[tex] \frac{10}{m - 5} = \frac{8}{m - 5} \\ \\ 10(m - 5) = 8(m - 5) \\ \\ 10m - 50 = 8m - 40 \\ \\ 10m - 8m = 50 - 40 \\ \\ 2m = 10 \\ \\ m = \frac{10}{2} \\ \\ m = 5[/tex]
Answer:
m = 5
Step-by-step explanation:
Cross product to get: 10(m-5) = 8(m-5)
Solve for m:
10m-50 = 8m-40
10m - 8m = -40 + 50
2m = 10
m = 10/2
m = 5
Akira's bus ride to school is 9/10 of a mile and Clayton's bus ride is 1/2 of a mile. How much longer is Akira's bus ride than Clayton's?
please help me with this i’m not very good at these