Answer:
Selling Price= $90.75
(i) Original Price= $90.75/0.75= $ 121.00
(ii) 1 Book= $90.75
10 Books= $90.75*10= $907.50
Total Amount Paid= $907.50*1.16 =$1052.70
In ΔIJK, i = 340 cm, ∠I=120° and ∠J=59°. Find the area of ΔIJK, to the nearest 10th of a square centimeter.
The area of triangle IJK is 999.8 square centimeters
The given parameters are:
[tex]\angle I = 120^o[/tex]
[tex]\angle J = 59^o[/tex]
[tex]i = 340cm[/tex]
Start by calculating the length of side j using the following sine ratio
[tex]\frac{i}{\sin(I)} = \frac{j}{\sin(J)}[/tex]
Make j the subject of the formula
[tex]j = \sin(J) \times \frac{i}{\sin(I)}[/tex]
Substitute known values
[tex]j = \sin(59) \times \frac{340}{\sin(120)}[/tex]
Evaluate the expression
[tex]j = 337[/tex]
Next, calculate angle K using the following sum of angles formula
[tex]\angle I + \angle J + \angle K =180[/tex]
Substitute known values
[tex]120 + 59 + \angle K =180[/tex]
[tex]179 + \angle K =180[/tex]
Subtract 179 from both sides
[tex]\angle K =1[/tex]
The area of the triangle is:
[tex]Area = \frac{1}{2} ij \times \sin(K)[/tex]
So, we have:
[tex]Area = \frac{1}{2} \times 340 \times 337 \times \sin(1)[/tex]
Evaluate
[tex]Area = 999.8[/tex]
Hence, the area of triangle IJK is 999.8 square centimeters
Read more about areas at:
https://brainly.com/question/2391510
Riley earned $5 for
1/2
of an hour babysitting. What is her hourly rate?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer:
$10
Step-by-step explanation:
Her hourly rate is 10 because if she earned $5 for half and our or 30 minutes that means to get to 1 hour multiply by 3 so you get. $10 per hour
Answer:
$10 per hour.
Step-by-step explanation:
$5 = 1/2 an hour | 30 minutes
So if you were to multiply $5 by 2 you'd get $10 which would make 1 whole hour.
$10 In different forms:
2/2
1.00
1
HELP ASAP PLS!!!!!!!!!!!
Answer:
157 cm^2
Step-by-step explanation:
area = pi r^2 you need half so 1/2 (3.14) (10^2)= 1/2 (3.14)(100), 1/2 (314)=157
please help ASAP will give brainleast to correct answer plus thank you!
Answer: d
Step-by-step explanation:
a diagonal walkway cuts through a park bordered by two parallel streets. the parks department plans to add an additional walkway as indicated by the dashed line segment in the figure
Answer:
42
Step-by-step explanation:
Which is the graph of the following equation?
x = 2
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
its C
Step-by-step explanation:
which angles are vertical to eachother
Answer:
∠1 and ∠4
Step-by-step explanation:
12 points
2. A company decided to reduce the size of its packaging to increase
profits. It reduced its package of crackers from 20 ounces to 15 ounces.
What is the percent of decrease for the packaging?*
A. 25%
B. 75%
C. 5%
D. 15%
PLEASE HELP!!!!!!!!!_______
Answer: B
Step-by-step explanation:
!! will give brainliest
Answer:
zoom in
this is the right answer
don't forget to mark me as brainliest
Kira made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $14.40. If the beads cost $1.50 for each necklace, how much did each pendant cost?
Answer: 2.10
Step-by-step explanation: 2.10 * 4 + 6
Help a girl out Jamal plans to attend a 4-year private university. He will receive $8,200 in scholarships and grants each year, and he will earn $1,900 each year through a work study program. Jamal's family will contribute $21,000 each year. How much will Jamal need to contribute?
Answer:
Jamal contribution = Total fee - scholarship & grant - study program earnings - family contribution
Step-by-step explanation:
Let total fee = x
Jamal contribution = x - 8200 - 1900 - 21000
= x - 31100
Her fee above & beyond 31100 will have to be arranged by Jamal's own contribution
7. Which expresses the calculation add 7 to b?
A b +7
B - 7
© 7b
D 6+7
Answer:
b =7
Step-by-step explanation:
What is the length, in feet, of the diagonal of a square with 8-foot sides? Round to the nearest tenth.
Answer:
11 feet
Step-by-step explanation:
Length of diagonal of square of side a = √2a
Here value of a = 8 feet
Therefore length of diagonal d = √2×8 = 1.414×8 = 11.312 feet
So after rounding to the nearest tenth the length of diagonal becomes 11 feet
What is 5637 time 7829
Answer:
44,132,073
Step-by-step explanation:
...how many degrees does the hexagon rotate....
into a single power.
Given:
The expression is:
[tex]\dfrac{(-24)^5}{(-24)}[/tex]
To find:
The value of the given expression into a single power.
Solution:
Given that,
[tex]\dfrac{(-24)^5}{(-24)}[/tex]
It can be rewritten as:
[tex]\dfrac{(-24)^5}{(-24)}=(-24)^{5-1}[/tex] [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]
[tex]\dfrac{(-24)^5}{(-24)}=(-24)^{4}[/tex]
Therefore, the required expression is single power is [tex](-24)^{4}[/tex].
hey...... what's the answer,
[tex] \sqrt{256 \times 256} [/tex]
Answer:
That would just equal 256.
Hope this helps
Answer:
256
hope it helps...........
Find the area of the shape shown below.
Answer:
To find the area break up the shapes:
The rectangle is A = bh which is 7*3 which is 21.
Triangle: A = 1/2(bh)
A=1/2(3*7)
A=1/2(21)
A=10.5
Now add up the areas:
21+10.5
=
31.5
The answer is 31.5 units.
classify the quadrilateral please
gjfjdjdxjdjdjdjdjdjdhdh
Answer:
It's a square
Step-by-step explanation:
All its sides are equal
Help Help Help Help Help Help
Answer:
A and C
Step-by-step explanation:
Brainliest?
x+3=14
her number + 3 is the other girsl 14
Find the solution of this system of equations.
Separate the x- and y-values with a comma.
x = -10 + y
-16x – 2y = -2
Will mark brainliest. Step-by-step please. Thank you very much.
Answer:
133°
Step-by-step explanation:
angles on a straight line = 180°
180 - 144 = 36°
angles in a triangle = 180°
36 + 31 = 67
180 - 67 = 113
answer = 113°
Can someone help me please
Answer:
Substitute the 80°F where the F is in the equation. then just put the whole equation into your calculator. I got approximately 26.7.
60 is 20 percentage of what number ?
Answer:
300
Step-by-step explanation:
1. Which of the following is a quadratic function?
A. f(x) = 2x + 5
B. f(x) = 3 - 4x^2
C. f(x) = 0x^2 + 3x - 6
D. f(x) = 2^x
Answer:
b
Step-by-step explanation:
50a3b-8ab factor the expression completely. part a: factor out the gcf (5 points) part b: factor the difference of perfect squares (5 points)
Answer:
Step-by-step explanation:
50a³b = 2⋅5²a³b
8ab = 2³ab
GCF = 2ab
50a³b - 8ab = 2ab(5²a² - 2²)
5²a² - 2² = (5a - 2)(5a + 2)
what is the circumfrence of a circle with a radius of 4 inches. Use 3.14 for pi.
Answer:
25.12 in.
Step-by-step explanation:
Circumference formula: pi*2*radius
radius=4, so
3.14*2*4=25.12
Given that 27-1/3 3 = 94 + 3r
31
find the exact value of x.
Answer:
the exact value is x =1/2 or x=0.5
your welcome!
The exact value is x = 1/2.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given an expression as;
[tex]27^{-1/3} = \frac{9^{1/4} }{3^{r + 1}}[/tex]
Now we can see that
27 = 3³
9 = 3²
Then the power are 3(-1/3) = -1
3(1/4) = 3/4
So we have;
[tex]3^{-1} = \frac{3^{2/4} }{3^{r + 1}}\\\\3^{-1} =3^{1/2 -r - 1} \\\\3^{-1} =3^{1 -2r - 2 /2}\\\\3^{-1} =3^{-2r - 1/2}[/tex]
So,
-2 = -2r - 1
-2r = -1
r = 1/2
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
PLEASE HELP, EMERGENCY!!!
Don’t link any files!!!!
Answer:
150
Step-by-step explanation:
5×10×3=150 I think that's how you do area I could be wrong if I am then oops