What is the area of this triangle?
Enter your
answer as a decimal in the box. Round only your final
answer to the nearest tenth. 8, 28, 7
Answers
Answer:
13.1 cm² (nearest tenth)
Step-by-step explanation:
Use the sine rule for area of a triangle with 2 sides and an included angle (SAS).
Sine rule for area
[tex]\textsf{Area ABC}=\dfrac12ab \sin C[/tex]
(where [tex]a[/tex] and [tex]b[/tex] are the side lengths and [tex]C[/tex] is the included angle)
Given:
[tex]a[/tex] = 8 cm[tex]b[/tex] = 7 cm[tex]C[/tex] = 28°[tex]\implies \textsf{Area}=\dfrac12\cdot 8 \cdot 7 \cdot\sin (28\textdegree)[/tex]
[tex]=13.14520376...[/tex]
[tex]= 13.1 \textsf{ cm}^2 \textsf{ (nearest tenth)}[/tex]
Use sine rule
Area:-
[tex]\\ \sf\longmapsto \dfrac{1}{2}Base\times Height sin\theta[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{2}(8)(7)sin28[/tex]
[tex]\\ \sf\longmapsto 28sin28[/tex]
[tex]\\ \sf\longmapsto 13.1cm^2(Approx)[/tex]
Related Questions
if -7(y-3)= -14 what is the value of y
Answers
Which of these best explains the next step to simplify this expression? 3y−45=35y−4 Question 22 options: Make the –4 exponent in the denominator positive. Add 5 to –4. Keep the exponent in the denominator –4. Multiply 5 by –4.
Answers
The value of y from the give expression is 1
Expressions and equationsGive the following expression
[tex]\frac{3y^{-4}}{5} = \frac{3}{5y^{-4}}[/tex]
Cross multiply the given expression
[tex]3y^{-4}\times 5y^{-4}= 5 \times 3\\15y^{-8}=15\\[/tex]
Divide both sides by 15
[tex]y^{-8}=1\\\frac{1}{y^8} =1\\y^8=1\\y=1[/tex]
Hence the value of y from the given expression is 1
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Answer:
Make the -4 exponent in the denominator positive.
Step-by-step explanation:
The term in the numerator (y^-4) has a negative exponent. Move this term to the denominator, and make the exponent positive. PF
After a meal, your total bill (before tax) comes to $47.50. If the tax on
your meal is 6%, what is the cost of tax you will have to pay?
Answers
6% of 47.50 = 2.85
The tax money is $2.85
A pattern follows the rule: obtuse triangle, obtuse triangle, right triangle, obtuse triangle... It also follows the rule isosceles, scalene isosceles, scalene. Draw a triangle that could be the fifth shape in the pattern and explain
Answers
The triangle gotten from this pattern is an isosceles obtuse triangle.
What is a pattern?A pattern is a repeated arrangement of numbers, shapes, colours and other items.
Using the rule, we have two obtuse then one right triangle. Hence the fifth would be an obtuse triangle.
For the second, we have isosceles and scalene changing, hence the fifth would be isosceles.
The triangle gotten from this pattern is an isosceles obtuse triangle.
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Is x = 3 a solution to the equation 8= 2x + 3
yes or no
Answers
Answer:
NO
Step-by-step explanation:
substitute x=3 into the equation
2(3)+3
=9
Therefore x=3 is not a solution
Answer:
No, it is not a solution.
Step-by-step explanation:
x = 3
8 = 2x + 3
8 = 2 (3) + 3
8 = 6 + 3
8 ≠ 9
34-19-= (show the CC steps.)
Answers
Answer:
34
-19
-------
15
Step-by-step explanation:
step 1: you can not subtract 4 from 9 so you have to take away one from 3 step 2: after you've taken away one from 3 it will become 2 and you pass the 4 the one and together will make 14 step 3: then you subtract 14 from 9 which gives you 5then you subtract 14 from 9 which gives you 5step4: after that you subtract 2 and 1 which will give up 1 final step: your answer is 15Determine the slope from the graphs
Answers
Answer:
This is solved
Step-by-step explanation:
Hope this helps
Find the selling price of each item.
45) Cost of a car: $43,000.00
Markup: 70%
Answers
Profit 30,100
If g(x) = 3x − 4, what is the value of g−1(g(−2))?
x+4/3
2/3
−10
−2
Answers
Answer:
C, 2/3, hope this helps
Step-by-step explanation:
sorry if it does not!
Antonio has 2 2/3 of a piece of wood that he wants to cut into 4 pieces. How long should he cut each piece?
A 8 2/3
B 10 2/3
C 8/3
D 2/3
Answers
Answer:
D 2/3
explanation:
[tex]\bold{total \ length \ \div \ number \ of \ pieces }[/tex]
solve
[tex]\sf 2\dfrac{2}{3} \div 4[/tex]
reciprocal to change signs
[tex]\sf \dfrac{8}{3} \ * \ \dfrac{1}{4}[/tex]
simplify
[tex]\sf \dfrac{2}{3}[/tex]
Solution:
To find the measure of each piece, divide the total piece of wood (2 2/3) by the number of pieces Antonio wants to cut (4).
From the following, we obtained:
[tex]\rightarrow 2 \dfrac{2}{3} \div 4[/tex]
Convert 2 2/3 into an improper fraction:
[tex]\rightarrow 2 \dfrac{2}{3} \div 4[/tex]
[tex]\rightarrow \dfrac{2 \times 3 + 2}{3} \div 4\\[/tex]
[tex]\rightarrow \dfrac{6 + 2}{3} \div 4\\[/tex]
[tex]\rightarrow \dfrac{8}{3} \div 4\\[/tex]
Simplifying the expression:
[tex]\rightarrow \dfrac{8}{3} \div 4\\[/tex]
[tex]\rightarrow \dfrac{8}{3} \times \dfrac{1}{4} \\[/tex]
[tex]\rightarrow \dfrac{8}{3 \times 4}[/tex]
[tex]\rightarrow \dfrac{8}{12} = \boxed{\dfrac{2}{3}}[/tex]
Thus, Antonio should cut 2/3 of wood for each piece.
Can someone please explain how to factor this difficult problem.
Answers
If a line segment is drawn from the center of any regular polygon to any of its vertices, the segment is a radius of the inscribed circle.
a) Always
b) Sometimes
c) Never
Answers
Answer: C
Step-by-step explanation:
Simplify the expression (5x2 + 5x – 32) – 3(x2 + 2x +11)
Answers
Answer:
2x^2 - x - 65
Step-by-step explanation:
hope this helps
brainliest pls
have an awesome day -TJ
Answer:
2x² - x - 65
Step-by-step explanation:
[tex]5x^2+5x-32+(-3)(x^2)+(-3)(2x)+(-3)(11)[/tex] [tex]5x^2 + 5x - 32 - 3x^2 -6x-33[/tex] [tex](5x^2-3x^2)+(5x-6x)+(-32-33)[/tex] [tex]2x^2-x-65[/tex]6 = 1 -2n + 5 solving linear equations
Answers
Answer:
1
Step-by-step explanation:
6=1-2n+5
6-5=1-2n
1=1n
n=1
hope you like the answer
Gordon starts in the northwest corner of a swimming pool and swims to the southeast corner. Then he swims along the width, a distance of 21 meters, and then along the length, a distance of 28 meters. Once Gordon returns to his starting point, how far has he swum?
Answers
Answer:
84 meters
Step-by-step explanation:
northwest corner to southeast corner= 35 meters
width= 21
length=28
total= 35+21+28=84 meters
Solve this question please thanks
Answers
Answer:
9
Step-by-step explanation:
if this helped pls give brainliest
Write story context for the equivalent shown
3/7x28=12?
(Please help)
have a good day/night!
Thank you for helping
Answers
Answer:
is 12=12 but need more context
A bike shop charges a fee for renting a bike, depending upon how long it is used. Riders who bring their own helmet are instead charged a discounted fee.The graph shows how the fees are related.
ASAP DUE RIGHT NOW !!!!
Answers
Answer:
Each discounted fee is $5 less than the rental fee.
Step-by-step explanation:
Each discounted fee is $5 less than the corresponding rental fee, and the percentage discount decreases as the rental fee increases.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
We can determine the discounted fee for each rental fee by looking at the coordinates on the graph.
The x-axis represents the rental fee, and the y-axis represents the discounted fee.
For example, at a rental fee of 10, the discounted fee is 5, so we have the point (10, 5) on the graph.
To calculate how much each discounted fee is less than the rental fee, we can subtract the discounted fee from the rental fee.
For example, at a rental fee of 10 and a discounted fee of 5, the discounted fee is $5 less than the rental fee of $10.
This means that the discounted fee is 50% less than the rental fee.
Using this method for each point on the graph, we get:
At a rental fee of 10, the discounted fee is 5, which is $5 less than the rental fee.
Therefore, the discounted fee is 50% less than the rental fee.
At a rental fee of 20, the discounted fee is 15, which is $5 less than the rental fee.
Therefore, the discounted fee is 25% less than the rental fee.
At a rental fee of 30, the discounted fee is 25, which is $5 less than the rental fee. Therefore, the discounted fee is 16.67% less than the rental fee.
At a rental fee of 40, the discounted fee is 35, which is $5 less than the rental fee. Therefore, the discounted fee is 12.5% less than the rental fee.
Thus,
Each discounted fee is $5 less than the corresponding rental fee, and the percentage discount decreases as the rental fee increases.
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#SPJ3
20.2694 to the nearest tenth
Answers
since 6 is in the hundredths place, you would round up to 3
Express as a sum.
15-7
(its not 8)
Answers
Answer:
-7+15. this is what i think it is.
Step-by-step explanation:
Answer:
-7+15 is correct answer. Please Mark it as brainlist answer.
The rectangle and a trapezoid have the same area what is the length L of the rectangle?
Answers
Answer:
Step-by-step explanation:
Area of rectangle = 9 * L
Area of trapezoid = (24 + 12)*9/2 =9 * 18
Same area, so
9 * L = 9 * 18
L = 18 ft
A rectangle has a perimeter of 8x3 + 7x2 - 10x + 3 and a length of x. Find the width of the rectangle
when the length is 21 inches.
The width is
inches.
Answers
Answer:
22091
Step-by-step explanation:
hope this helps
The graph shows two accounts with the same principal and annual interest rate. Use the graph to estimate the answer to each question.
About how much more compound interest than simple interest is earned after 35 years? Remember to show your work.
About how much more compound interest than simple interest is earned after 45 years? Remember to show your work.
Answers
Answer:
The amount of compound interest than simple interest that is earned after 45 years:
$300 is invested.
After 45 years, it will grow to be about $700.
If invested using compound interest, it will grow to be about 1110.
A scientist has 50 grams of a radioactive element. The amount of radioactive element remaining after t days can be
determined using the equation
f(0) - 50
(3)
After two days the scientist receives a second shipment of 50 grams of the
same element. The equation used to represent the amount of shipment 2 remaining after t days is R8) - 50
50l
. Which
of the following is an equivalent form of the expression for the amount remaining in shipment 2?
Answers
The equivalent expression for the amount remaining is an expression that has equal value
The equivalent form of the expression for the amount remaining in shipment 2 is [tex]f(t)=50(\frac12^\frac{1}{5})^{5t- 1}[/tex]
How to determine the equivalent expressionThe initial equation of the function is:
[tex]f(t)=50(\frac12)^{\frac t{10}}[/tex]
The function after the scientist receives the second shipment after two days is:
[tex]f(t)=50(\frac12)^{t - \frac 2{10}}[/tex]
Simplify
[tex]f(t)=50(\frac12)^{t - \frac 1{5}}[/tex]
Take the LCM of the exponent
[tex]f(t)=50(\frac12)^{\frac{5t- 1}{5}}[/tex]
Express the exponent as a product expression
[tex]f(t)=50(\frac12)^{\frac{1}{5} * [5t- 1]}[/tex]
Rewrite as:
[tex]f(t)=50(\frac12^\frac{1}{5})^{5t- 1}[/tex]
Hence, the equivalent form of the expression for the amount remaining in shipment 2 is [tex]f(t)=50(\frac12^\frac{1}{5})^{5t- 1}[/tex]
Read more about equivalent expressions at:
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Answer:
D is the correct answer
Step-by-step explanation:
What is the missing value
Answers
Answer:
18
Step-by-step explanation:
I did my method that I was taught but if you do (-5) - (-2), you get 3. So you subtract 39 by the -21 to get 18.
Answer:
-52.5
Step-by-step explanation:
PLEASE HELP IM CONFUSED HOW TO FACTORISE THESE
WILL MARK BRAINLIEST
Answers
Answer:
These are all quadratics, where the x/y/a/b coefficient has been cancelled out. So it's like factorising a quadratic. What i mean by the x/y/a/b coefficient being cancelled out is for example y^2 - 1, becomes (y - 1)(y + 1). This is equal to y^2 - y + y - 1. You can see that - y + y = 0, to therefore it's not visible in the final equation, but it's there.
c) y^2 - 1 = (y - 1)(y + 1)
d) x^2 - 64 = (x - 8)(x + 8)
g) a^2 - 81 = (a - 9)(a + 9)
h) x^2 - y^2 = (x - y)(x + y)
k) 25 - x^2 = (5 - x)(5 + x)
l) 1 - b^2 = (1 - b)(1 + b)
o) x^2 - 400 = (x - 20)(x + 20)
p) 900 - y^2 = (30 - y)(30 + y)
I hope this makes sense :))
Multiply. Write your answer in simplest form. 2 1/2 × 3 2/3
Answers
3 2/3 = 11/3
5/2 x 11/3 = 55/6
55/6 = 9 1/6
Hope it helped.
Find the area and circumference of a circle of radius 30cm ( use π= 3.14 )
Answers
Answer:
Area = 2826 cm^2
Circumference = 188.4 cm
Step-by-step explanation:
Area of a circle = πr^2 3.14 X (30^2) = 2826
Circumference = 2πr or πd 2 X 3.14 X 30 = 188.4
[tex] \mathbb\red{ANSWER} [/tex]
Area Formula :
[tex] \green{\pi {r}^{2} }[/tex]
[tex] \pink{ \pi \times {30cm}^{2} }[/tex]
[tex] \orange{ 3.14 \times 900 {cm}^{2} }[/tex]
[tex] \red{2826 {cm}^{2} }[/tex]
Circumference Formula:
[tex] \green{\pi \times d}[/tex]
[tex] \pink{3.14 \times 60cm}[/tex]
[tex] \orange{188.4cm}[/tex]
[tex] \mathbb\blue{HOPE \:IT\: HELPS} [/tex]
Which two operations are needed to write the expression that represents "five less than the quotient of a number and three"? tin
Answers
Answer: The quotient is the result of a division and 'less than is a subtraction.
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You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you
decide to swim 15 minutes longer than she does one day at practice.
Write an equation for the number of minutes you swim, y, when your friend swims a number of minutes.
You swim 55 minutes.
How many minutes did your friend swim?
minutes
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