Answer:
24.5 unit²
Step-by-step explanation:
Area of ∆
= ½ | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |
= ½ | (-1)(3 -(-4)) + 6(-4 -3) + (-1)(3 - 3) |
= ½ | -7 - 42 |
= ½ | - 49 |
= ½ (49)
= 24.5 unit²
Method 2:
Let the vertices are A, B and C. Using distance formula:
AB = √(-1-6)² + (3-3)² = 7
BC = √(-6-1)² + (-4-3)² = 7√2
AC = √(-1-(-1))² + (4-(-3))² = 7
Semi-perimeter = (7+7+7√2)/2
= (14+7√2)/2
Using herons formula:
Area = √s(s - a)(s - b)(s - c)
here,
s = semi-perimeter = (14 + 7√2)/2
s - a = S - AB = (14+7√2)/2 - 7 = (7 + √2)/2
s - b = (14+7√2)/2 - 7√2 = (14 - 7√2)/2
s - c = (14+7√2)/2 - 7 = (7 + √2)/2
Hence, on solving for area using herons formula, area = 49/2 = 24.5 unit²
Answer:
24.5
Step-by-step explanation:
To find the area with the coordinates provided:
(-1,3), (6,3), (-1,-4)
First we count the units that are inside the triangle which is area.
[tex]\frac{49}{2}[/tex]
So we know that there are [tex]\frac{49}{2}[/tex] units and then we divide 49 by 2 which gets you 24.5.
49 ÷ 2 = 24.5
The answer is 24.5 units.
There's 2 questions here that need to be answered.
Find the value of each variable.
Answer:
5. x= 13 y= 18.4
6.
Step-by-step explanation:
question 5:
tan45=x/13
multiply both sides by 13 to get x by its self.
end up with 13×tan45 so put that in the calculator to get x
then you do cos45= 13/y
multiply by y on both sides.
end up with y×cos45=13
divide the cos45 by both sides
put 13/cos45 to get y
question 6:
sin30=4/x
multiply x on both sides
end with x×sin30 =4
divide sin30 on both sides
put 4/sin30 in a calculator to get x
same thing again but with tan30 ahaha
is anyone like good at math that can help me real quick?
A farmer sells 7.6 kilos of apples and pears at the market two-fifths of this weight is papples and the rest is pears how many kilos are pears did she sell at the Farmers Market
Answer: 4.56 kg
Step-by-step explanation:
In total, 7.6 kg of both pears and apples were sold.
Now, out of that 7.6kg, two-fifths is apples and the rest are pears.
This means that Pears are:
= 1 - 2/5
= 3/5
The weight of pears is therefore:
= 3/5 * 7.6
= 4.56 kg
Determine number of solutions
I need this ASAP
What is the volume to the nearest integer
Answer:
C
Step-by-step explanation:
WILL MARK BRAINLIEST! Find a Linear Function with the coordinate pairs ( 4 , 250) and ( 12 , 650 )
Answer: $75.07
Step-by-step explanation:
company sells each pair of shoes for $75.07 in stores. ... W=-650 + 34 ... Solve 1 by using elimination. Express as an ordered pair. +. (2x+y=-12. 5x=0 ... 250. 60. Sam earned $450 during winter vacation. He needs to save $180 for a camping.
Answer:
$75.07
Step-by-step explanation:
company sells each pair of shoes for $75.07 in stores. ... W=-650 + 34 ... Solve 1 by using elimination. Express as an ordered pair. +. (2x+y=-12. 5x=0 ... 250. 60. Sam earned $450 during winter vacation. He needs to save $180 for a camping.
HELP PLS :(
At a closed landfill, trash is decaying at a rate of 50% every 15 years.
Which type of function best models the amount of
trash that is remaining after x years?
linear
exponential
quadratic
cubic
Answer:
I believe it's linear
Step-by-step explanation:
don't quote me on that tho
A windshield wiper is 50 cm long. In one sweep it turns through an angle of 115°. Calculate the distance (length) it covers in one sweep. Round to the nearest whole number.
Answer:
The distance in one sweep is 100 cm approximately
Step-by-step explanation:
Here, we want to calculate the distance the wiper covers in one sweep
Mathematically;
we have a structure like an arc of a circle. It is the length of this arc we want to calculate.
The formula for the length of an arc is;
theta/360 * 2 * pi * r
r is the radius which in this case is 50 cm
We have ;
115/360 * 2 * 3.1412 * 50 = 100 cm approximately
4. A triangle has a 90° angle and two sides that measure 5 cm in length. Which statements are true about this triangle? Select all that apply. A. The triangle must be an isosceles triangle. B. The triangle must be an equilateral triangle. C. The triangle must be a right triangle. D. The triangle must be an acute triangle. E. The triangle must contain an angle measuring 45° F. The third side of the triangle might be 10 cm in length.
The triangle is an isosceles right triangle, and the true statements about the triangle are
The triangle must be an isosceles triangle. The triangle must be a right triangle. The triangle must contain an angle measuring 45°How to determine the true statements?The given parameters are:
Angle = 90 degrees
Two side lengths = 5 cm
Given that one of the angles is 90 degrees, then it means that the triangle is a right triangle.
Also since two sides are equal, then the triangle is an isosceles triangle, and the other angles are 45 degrees each
Hence, the true statements about the triangle are (a), (c) and (e)
Read more about isosceles right triangles at:
https://brainly.com/question/9164906
In an isosceles triangle, one side is 6 more than 3 times a number and the congruent side is 10 less than
5 times the same number, what is that number?
a.2
b.8
c.16
d. none of above
find the value of x..
Answer:
The answer is 116
Step-by-step explanation:
Because this shape is a quadrilateral, so the sum of the angles of a quadrilateral is a total of 360 degrees. So i added 90 + 90 + 64 = 244. And 360 - 244 = 116.
Answer:
116°
Step-by-step explanation:
There are 2 right angles so we add them:
1 right angle = 90°
2 right angle: 90° + 90° = 180°
As we can we have another value which is 64° so we add that as well:
180° + 64° = 244°
Since it is a 4-sided shape all the values will add up to 360°
Subtract 360 and 244
360° - 244° = 116°
x = 116°
Hope this helps
I need to get in helppppppppppp
#9
20 out of 800 products were found to be defective. At the same rate, how many defective parts will be found in 40,000 products? There would be Blank 1 defective parts out of 40000.
Answer: 1,000 products
Step-by-step explanation:
If 20 out of 800 products are found to be defective, the percentage of defective products would be:
= 20 / 800
= 2.5%
At this same rate of 2.5%, if there are 40,000 products instead of 800, the number of defective products would be:
= 2.5% * 40,000
= 1,000 products
What is the equation of the line that passes through the point (- 1, 5) and is parallel to the line y = - 3x + 5
Answer:
y - 5 = -3(x + 1)Step-by-step explanation:
Parallel lines has the same slope.
The equation of a line that passing through point (x₁, y₁) with a slope of m is:
y - y₁ = m(x - x₁)
m = -3
(-1, 5) ⇒ x₁ = -1, y₁ = 5
Therefore the equation:
y - 5 = -3(x + 1)
which expression is equivalent to sec theta + csc theta/1 + tan theta?
Answer: D= csc theta
Step-by-step explanation:
In Las Vegas, the sales tax is 8.375%. How much sales tax would there be on a $750 flat screen TV? *
Answer:
Step-by-step explanation:
Sales tax = $750 × 0.08375 = $62.8125
Answer:
[tex]\boxed {\boxed {\sf \$62.81}}[/tex]
Step-by-step explanation:
To find the sales tax, multiply the price by the tax rate.
[tex]sales \ tax=price * tax \ rate[/tex]
The price of the TV is $750 and the tax rate is 8.375%, but we must convert it to a decimal. Divide by 100 or move the decimal place two spots to the right.
8.375/100=0.08375 or 8.3750⇒.8375⇒ 0.08375Substitute the values into the formula.
[tex]sales \ tax= 750*0.08375\\sales \ tax= 62.8125[/tex]
Round to the nearest cent, which is the hundredth place. The 2 in the thousandth place tells us to leave the 1.
[tex]sales \ tax = 62.81[/tex]
The sales tax on the TV is approximately $62.81.
There were 35 foxes with socks sitting on some boxes. How many socks
were there altogether. (Remember a fox has 4 feet)
Answer:
140 socks or 70 pair of socks
Step-by-step explanation:
35 x 4 = 140
Answer:
140
Step-by-step explanation:
35 times 4 is 140
Write the expression without the fraction bar.
Which graph shows the function
4y - x= 0?
Answer:
y=x/4
Step-by-step explanation:
add x to the other side of your equation so: 4y = x
now divide both sides by 4 so your y is isolated: y=x/4
Help meeeeee i don't know it and i will give brainlest
Answer:
Question 1:
1. 3.14
2. 6.2
Question 2:
1. 20
2. 25
3. 30
4. 35
Answer:
y< 6.28
Step-by-step explanation:
y<157/25 y<6 7/25 , Y={-infinity sign, 6.28
Brand XYZ dog food cost $36 for 15 pounds of dog food. What is the cost per pound?
Answer:
2.4 per pound
Step-by-step explanation:
36÷15=2.4
how do i know this i used my brain
A trader sold a radio set for 72.00 making a profit of 8% .Find , correct to the nearest ghana cedis ,the cost price for the radio set .
Given:
The selling price of a ratio set = 72.00
Profit percent = 8%
To find:
The cost price for the radio set.
Solution:
Let x be the cost price for the radio set.
Radio set is sold at 8% profit.
[tex]\text{Selling price}=x+\dfrac{8}{100}x[/tex]
[tex]\text{Selling price}=x+0.08x[/tex]
[tex]\text{Selling price}=1.08x[/tex]
The selling price of a ratio set is 72.00.
[tex]72=1.08x[/tex]
[tex]\dfrac{72}{1.08}=x[/tex]
[tex]x=66.666...[/tex]
[tex]x\approx 67[/tex]
Therefore, the cost price for the radio set is 67.
40. In the diagram, each shape has a value and the sums of the shapes in each of the first three rows is given. Find the sum of the shapes in the fourth
TOW
α
= 31
Ν
27
Δ.
ΠΟΔΔ/
ΠΟΠΟΔ - ?
24
Answer:
This does not explain
Step-by-step explanation:
...
Answer:
26
Step-by-step explanation:
With some trial and error I found out that the square equals 5 and the circle equals 7. Now to find the triangle, I used the second equation. It was ⬜+⭕+⭕+⛛+⛛ = 27
So I put in the numbers in place of the square and circle:
5+7+7+⛛+⛛ = 27
5+7+7 = 5+14=19
27-19=8
So now we know that 2⛛=8
So I did 8 ÷ 2 = 4. ⛛=4
So we know that ⛛ = 4, ⭕ = 7, ⬜ = 5
Lets solve: ⬜ + ⬜ + ⬜ + ⭕ + ⛛ = ?
Translating into: 5 + 5 + 5 + 7 + 4 = 26
So our final answer is 26.
$6.00+$8.00 =
answer
Answer:
14,00
Step-by-step explanation:
14 bru
A person invests 3500 dollars in a bank. The bank pays 6.25% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 11100 dollars?
The duration of time period required is 2.4 years.
What is a compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given that, A person invests 3500 dollars in a bank. The bank pays 6.25% interest compounded annually.
A = P(1+r/100)ⁿ
n = time
A = amount
P = principal
11100 = 3500(1+0.0625)ⁿ
3.171 = (1.0625)ⁿ
Taking log to both sides,
log(3.171) = nlog(1.0625)
n = 2.40
Hence, the required time is 2.4 years.
For more references on compound interest, click;
https://brainly.com/question/14295570
#SPJ2
A figure is shown Below
Find M
Answer:
58 degrees
Step-by-step explanation:
We know that angles on a straight add up to 180 degrees. Therefore:
To find the angle at the top of the triangle do 180-112 = 68
To find the angle at the right side of the triangle do 180 - 126 = 54
We know that angles in a triangle add up to 180 degrees. Therefore:
To find m do 180 - (54 + 68) = 58
Determine the surface area from the folllowing nets. Type the answer in the space provided (no units needed). If the answer is correct a mystery picture will appear. (Zo om in for bigger picture of dimensions)
Answer:
#1
Surface area is the sum of 3 rectangles and 2 triangles:
S = 8*6 + 9*6 + 8*3 + 2(1/2*3*6) = 144 ft²#2
Surface area is the sum of 1 square and 4 triangles:
S = 5*5 + 4*(1/2*3*5) = 55 ft²|x-(-12)| if x>-12
ill give brainlyest if corect
Answer:
I don't know hhdhjrrhhejeuie
Is 4/9 closer to 1 or 1/2?
Answer:
1/2
Step-by-step explanation:
hope this helps!
Evan and Dorinda make bracelets for a craft fair. Evan makes 10 bracelets the first day and 8 bracelets each day after that. Dorinda makes 8 bracelets the first day and 8 bracelets each day after that. If they make bracelets for 6 days, how many bracelets will they make in all? a. 567 b. 987653 c. 8765 d.65
Answer:
98 bracelets
Step-by-step explanation:
Number of days, n = 6
Evan:
= 10 + 8(n - 1)
= 10 + 8(6 - 1)
= 10 + 8(5)
= 10 + 40
= 50 bracelets
Dorinda
= 8n
= 8(6)
= 48 bracelets
Total bracelets they will make in all = Evan + Dorinda
= 50 + 48
= 98 bracelets