Answer:
3,174
Step-by-step explanation:
Answer: 3,174
Step-by-step explanation:
115^2-69^2= sqrt8464=92
100+92=whole leg=192
192*69=13248= whole area
69*92=6348
6348/2
=3174
Find the coordinated points which quadrasects the line segments joining the points A(-3,6) and B (4,-2)
Answer:
The coordinated points which quadrasects the line segments joining the points A and B are [tex]\left(-\frac{5}{4},4\right)[/tex], [tex]\left(\frac{1}{2}, 2 \right)[/tex] and [tex]\left(\frac{9}{4},0 \right)[/tex].
Step-by-step explanation:
Let [tex]A(x,y) =(-3,6)[/tex] and [tex]B(x,y) = (4,-2)[/tex], when the line segment is quadrasected, it means that segment is divided into four equal parts. The locations are determined by the following expressions:
[tex]\vec R_{1} = \vec A + \frac{1}{4}\cdot \overrightarrow{AB}[/tex] (1)
[tex]\vec R_{2} = \vec A + \frac{1}{2}\cdot \overrightarrow{AB}[/tex] (2)
[tex]\vec R_{3} = \vec A + \frac{3}{4}\cdot \overrightarrow{AB}[/tex] (3)
Where:
[tex]\overrightarrow{AB} = B(x,y)-A(x,y)[/tex]
[tex]\overrightarrow{AB} = (4,-2) - (-3,6)[/tex]
[tex]\overrightarrow{AB} = (7,-8)[/tex]
The coordinated points which quadrasects the line segments joining the points A and B are, respectively:
[tex]\vec R_{1} = (-3,6)+\frac{1}{4} \cdot (7,-8)[/tex]
[tex]\vec R_{1} = \left(-\frac{5}{4},4\right)[/tex]
[tex]\vec R_{2} = (-3,6)+\frac{1}{2} \cdot (7,-8)[/tex]
[tex]\vec R_{2} = \left(\frac{1}{2},2 \right)[/tex]
[tex]\vec R_{3} = (-3,6)+\frac{3}{4} \cdot (7,-8)[/tex]
[tex]\vec R_{3} = \left(\frac{9}{4},0\right)[/tex]
The coordinated points which quadrasects the line segments joining the points A and B are [tex]\left(-\frac{5}{4},4\right)[/tex], [tex]\left(\frac{1}{2}, 2 \right)[/tex] and [tex]\left(\frac{9}{4},0 \right)[/tex].
Find the area of triangle ABC.
Give your answer correct to 1 decimal place.
А
9 cm
C
10 cm
B
8cm
The area of the triangle ABC is 34.2 square centimeters
How to determine the triangle area?The complete question is in the image
Start by calculating the semi-perimeter using:
s = 0.5 * (a + b + c)
This gives
s = 0.5 * (9 + 10 + 8)
Evaluate
s = 13.5
The area is then calculated as:
[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]
This gives
[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]
Evaluate
A = 34.2
Hence, the area of the triangle ABC is 34.2 square centimeters
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help plz I dont remember how to solve these
Answer:
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
12.56 inches²
Step-by-step explanation:
Area = π × r²
A = π × 2²
A = π × 4
A = 4(3.14)
A = 12.56
x 1 у 3 4 6. 516
What is R
Answer:
the question is not correct. please rewrite the question.
Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 10 miles, how much will her mother donate?
James uses 5 1/2 bags of soil to fill 1/4 of his garden. How many bags will James use to fill his entire garden?
Answer:
22 bags
Step-by-step explanation:
Multiply 5 1/2 by 4 and you'll get 22
Answer:
22 bags
Step-by-step explanation:
5 1/2 for 1/4....4/4 for the whole garden. So you can multiply 5 1/2 times 4
Which number is a solution for the
8.
inequality below?
3n< 18
What 8?
There is no 8 in the problem.
The answer is not a specific value for n.
3n < 18
Divide both sides by 3.
3n/3 < 18/3
n < 6
ANSWER: n < 6
What does the answer mean?
It means that n must be less than 6 to make the original inequality a true statement.
Find the degree of the monomial.
6r2n4t
Answer:
idek
Step-by-step explanation:
Please help 2/4
Solve the binomial
4(3d-1)(3d+1)
Answer:Isolate the variable by dividing each side by factors that don't contain the variable.
d=−5
Step-by-step explanation:
Find the value of x.
44.8
37.5
17.5
22.0
Answer:
x = 17.5
Step-by-step explanation:
[tex] \frac{16}{10} = \frac{28}{x} [/tex] (angle bisector theorem)
Cross multiply
16 × x = 28 × 10
16x = 280
Divide both sides by 16
x = 280/16
x = 17.5
Help me with this ASAP
Answer:
The slope is 3To graph it you should put a point at any of the points that are in the table. Some easy ones are (0,0) and (2,6)Step-by-step explanation:
To find the slope you need to follow the formula shown below.
Slope (m) = ΔY/ΔX
Now solve
ΔY = 6 – 0 = 6
ΔX = 2 – 0 = 2
Write as a fraction
6/2
Convert to a number
6/2 = 3
And you have your slope. Now you just have to plot the points on the graph. As I said before, you can use any two points from the table.
8. Calculate the final price including tax for a watch that costs $139.99 that is on sale for 20% off.
a) $158.19
b) $111.99
c) $139.99
d) $126.55
Answer:
should be B
Step-by-step explanation:
however tax rate is different in different states sooo
Andy is buying a car.
He negotiated a 7% decrease on a £6 500 car.
He will pay the full balance in 12 equal monthly payments.
Calculate the amount paid each month.
Answer:
£503.75
Step-by-step explanation:
Andy is buying a car.
Step 1
We calculate the decrease
He negotiated a 7% decrease on a £6 500 car.
Decrease = 7% × £6500
= $455
Step 2
We calculate the new price of the car.
= Old price - Decrease
= £6500 - £455
= £6045
Step 3
We calculate the amount he pays every month.
We are told that:
He will pay the full balance in 12 equal monthly payments.
Andy's monthly payments =
New price/12 months
= £6045/12
= £503.75
Therefore, the amount he would be paying each new month = £503.75
What is the output of this function when the input is -2?
The length of a rectangle is
8 inches longer than the
width. If the ratio of the
length to perimeter is 5:16,
what is the area of the
rectangle?
Answer:
Step-by-step explanation:
The area of the rectangle is 240 square inches if the length of a rectangle is 8 inches longer than the width. If the ratio of the length to the perimeter is 5:16.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that:
The length of a rectangle is 8 inches longer than the width. If the ratio of the length to the perimeter is 5:16
As we know, the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
Let l and w be the length and width of the rectangle:
l = 8 + w
w = l - 8
l/P = 5/16 (the length to the perimeter is 5:16)
P is the perimeter of the rectangle.
P = 2(l + w)
l/[2(l + w)] = 5/16
16l = 10(l + w)
8l = 5(l + l - 8)
8l = 10l - 40
2l = 40
l =20 inches
w = 20 - 8 = 12 inches
Area = 20x12 = 240 square inches
Thus, the area of the rectangle is 240 square inches if the length of a rectangle is 8 inches longer than the width. If the ratio of the length to the perimeter is 5:16.
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Solve the inequality.
x + 7 > 18
The solution is __.
Graph the solution.
Answer:
7+18=25 that's the answer
is it a, b, c, or d?
Answer:
The answer is B. 4,7.5,8
Step-by-step explanation:
Becouse A and C Both of them is Right-angled triangle and D is Obtuse triangle
Use the diagram and the information given to find the indicated measure:
1. ZX is the perpendicular axis of WY, yYZ = 13.75. Find the value of WZ.
2. ZX is the perpendicular axis of WY,
WZ = 4n − 13, and YZ = n + 17. Find the value of
AND Z.
3. Find the value of WX when
W Z = 20.5, W Y = 14.8, and Y Z = 20.5
express in exponential form 200×75
Do you mean exponential form as in scientific notation or as in prime factorization.
Now matter I will do both.
As in scientific notation.
200*75
=150*100
=1.5*10000
=1.5*10^4
As in prime factorization.
200*75
=2^3*5^2*3*5^2
=2^3 * 3 * 5^4
Do the one your teacher ask for :) Hope it helps!
please help. im completey lost
Answer:
I had it before and it is 15 ft²
What is X if
+X=
8
2
1
-6 -3
O
6
9
-6 -3
O
-2
-7
-4
1
O
-2 -7
-1
С O
7
Answer:
[tex] X =
\begin{bmatrix} - 4 & 1 \\ - 2 & - 7\end{bmatrix}[/tex]
Step-by-step explanation:
[tex] \begin{bmatrix} - 1 & - 2\\ 4 & 8\end{bmatrix} +X = \begin{bmatrix} - 5 & - 1\\ 2 & 1\end{bmatrix}[/tex]
[tex] X =
\begin{bmatrix} - 5 & - 1\\ 2 & 1\end{bmatrix}-\begin{bmatrix} - 1 & - 2\\ 4 & 8\end{bmatrix}[/tex]
[tex] X =
\begin{bmatrix} - 5-(-1) & - 1-(-2)\\ 2-4 & 1-8\end{bmatrix}[/tex]
[tex] X =
\begin{bmatrix} - 5+1 & - 1+2\\ 2-4 & 1-8\end{bmatrix}[/tex]
[tex] X =
\begin{bmatrix} - 4 & 1 \\ - 2 & - 7\end{bmatrix}[/tex]
Seth missed the due date for his credit card payment. His credit card company will
charge him $20 and an APR of 27%. What is the amount of interest he would have to
pay at the 27% APR?
what is 33493.33333 rounded to the nearest tenth?
Answer:
33493.33
Step-by-step explanation:
Mark bought a car for x dollars. One year later the car was 0.85x. What was the percent decrease.
Answer:
[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]
Alternative method:
[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]
Answer:
thr percent decrease is 15%
Step-by-step explanation:
you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%
What is 13 divided by 0.22 and round to the nearest hundredth
Answer:
59,09
.........................................................
A woman has 31 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 5.65, how many dimes and how many quarters does she have?
Answer:
14 dimes and 17 quarters
Step-by-step explanation:
d and q are the number of dimes and quarters, respectively.
"31 coins, all of which are dimes and quarters."
d+q = 31
d = 31-q
"the value of the coins is $5.65"
0.10d + 0.25q = 5.65
substitution
0.10(31-q) + 0.25q = 5.65
3.10-0.10q + 0.25q = 5.65
0.15q = 2.55
q = 17
d = 31-q = 14
14 dimes and 17 quarters
HELPPPPPP!!!!! ASAPPPPP!!!!
Answer:
c.
Step-by-step explanation:
hopes this helps
given that ABCD is a parallelogram, find each of the following
AB
AD
< A
< D
Answer:
AB = 8
AD = 10
<A = 118
<D = 62
Step-by-step explanation:
1. AB
Because opposite sides in a parallelogram are equal, DC = AB = 8.
2. AD
Because opposite sides in a parallelogram are equal, BC = AD = 10.
3. <A
Adjacent angles are supplementary in a parallelogram, so A = 180 - 62 = 118
4. <D
Opposite angles are equal in a parallelogram, so B = D = 62
Answer:
AB = 8
AD = 10
m∠A = 28°
m∠D = 62°
Step-by-step explanation:
A few facts to remember about a parallelogram.
1. Opposites sides are congruent
2. Opposites angles are congruent
3. Consecutive angles are complementary
So, AB = 8, AD = 10, m∠A = 90 - 62 = 28°, m∠D = 62°
URGENT will give brilliant mark For the reaction 2Na + Cl2 ------ 2NaCl, how many grams of sodium chloride can be produced from 500g of chlorine? ( atomic masses : Na = 23 , Cl = 35.5 g/mol) *
1 point
112 g
319 g
409 g
825 g
Answer:
825 g
Step-by-step explanation:
Here's my work:
500g Cl2 l 1mol Cl2 l 2 mol NaCl l 58.5 g NaCl
l 71 g Cl2 l 1 mol Cl2 l 1 mol NaCl
= 823.94 - the rounding can be a little off
The first thing you have to do is convert the 500 g of Cl2 into moles. So you get the mass of Cl which is 35.5, but Cl is diatomic by itself so you multiply 35.5 x 2 and get 71. now on the third column you are comparing the mol ratios of the equation. The equation is 2Na + Cl2 ---> 2NaCl, so you see that there is no coefficient in front of Cl2 so that means there is 1 mol, and then you see that in the product there is a coefficient of 2 in front of NaCl so that means there is 2 moles. Then finally you have to convert the moles backs into grams where you just add the masses of Na and Cl . You multiply across the top and then divide that number by the bottom row.
Find the length of side x in simplest radical from with a rational denominator.
Answer:
4
Step-by-step explanation:
The value of the hypotenuse x will be equal to √6.
What are trigonometric identities?Equations involving trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities. The Pythagorean Theorem serves as the basis for some of the most popular trigonometric identities, including.
The study of correlations between triangles' side lengths and angles is known as trigonometry.
Given that the angles are 45 and the base is √3 the hypotenuse will be calculated as,
cosθ = Base / Hypotenuse
cos45 = √3 / x
x = √3 / ( 1 / √2)
x = √6
Therefore, the value of the hypotenuse x will be equal to √6.
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