Work out area of the triangle and give answer to 1.dp

Work Out Area Of The Triangle And Give Answer To 1.dp

Answers

Answer 1

Answer:

A ≈ 62.8 cm²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] ab sinC

where a = 10, b = 13 and C = 105° , then

A = [tex]\frac{1}{2}[/tex] × 10 × 13 × sin105° = 65 × sin105° ≈ 62.8 cm² ( to 1 dec. place )


Related Questions

Find the quotient.

(-6) ÷ (-7)
6/7
-6/7
-42
42

Answers

Answer:  A) 6/7

The two negatives cancel out when we divide or multiply. Think of negative as opposite. Having two opposites cancel.

The slash means fraction and it also means division

6/7 = 6 divided by 7

6/7 = six sevenths

So that allows us to go from fraction to decimal form 6/7 = 0.857 approximately after using your calculator or long division.

Name the quadrant or axis where each point lies.

Answers

Answer:

(-6, -3) => Quadrant III

(0, 3) => y-axis

(5, -4) => Quadrant IV

(-7, 6) => Quadrant II

Step-by-step explanation:

If x and y values given, use this key to find which quadrant the point lies in.

(x , y) =

(+, +) => 1st Quadrant (-, +) => 2nd Quadrant(-, -) => 3rd Quadrant(+, -) => 4th Quadrant(x, 0) => x-axis(0, y) => y-axis

The given points :-

(-6, -3) => Quadrant III(0, 3) => y-axis(5, -4) => Quadrant IV(-7, 6) => Quadrant II

if a fration can be written as a repeating deciamal, only one dgit can repeat over and over, wothout end. true or false

Answers

Answer: False

Step-by-step explanation:

8. Use the general formula for an exponential function, f(x) = a. b, to write a specific function given an
initial value of 61 and a growth factor of 3.5.

Answers

Answer: f(x) = 61(3.5)^x

Step-by-step explanation:

This is what the variables always mean in the function:

a = initial value

b = growth factor

x = time

Then, you just plug them in! Hope this helps.

what would the answer to 4 2/3 - 1 1/3 divided by 2

Answers

Answer:

I believe the answer is 1/2

Step-by-step explanation:

4*3=12+2=14,14/3

1*3=3+1=4

14/3+4/3=18/3 divided by 2=6/3 simplified to 1/2

I got the 6/3 by dividing 18 by 2 and 3 by 1

Answer:

4

Step-by-step explanation:

If you know what Pemdas is then you must do dividing first.

1 1/3 divided by 2 is 2/3. 4 and 2/3 minus 2/3 equals 4.

Hope this helps. :)

Plot the points A(-4,-6), B(-10, -10), C(-3, -8) on the coordinate axes below. State the coordinates of point D such that A, B, C, and D would form a parallelogram. (Plotting point D is optional.)

Answers

Check the picture below.

Coordinates of point D of parallelogram = (3 , -4)

What is parallelogram?

A parallelogram is quadrilateral in which opposite angles are equal and opposite sides of the quadrilateral are equal and parallel to each other.

The Diagonals in the parallelogram bisect each other.

Given points

A(-4,-6), B(-10, -10), C(-3, -8)

Let the 4th point D = (x , y)

In a parallelogram, diagonals bisect each other.

midpoint of BD = midpoint of AC

If two points are (x₁ , y₁) and (x₂,y₂)

then midpoint = {(x₁+x₂)/2 , (y₁+y₂)/2}

midpoint of AC = {(-4 + -3)/2 , (-6 + -8)/2}

                         = {-7/2 , -7}

midpoint of BD = {(-10 + x)/2 , (-10 + y)/2}

Now,

midpoint of BD = midpoint of AC

{-7/2 , -7} =  {(-10 + x)/2 , (-10 + y)/2}

Comparing both sides

taking x -coordinate

(-10 + x)/2 = -7/2

Multiplying with 2 on both sides

-10 + x = -7

x = 3

taking y -coordinate

(-10 + y)/2 = -7

Multiplying with 2 on both sides

-10 + y = -14

y = -14 + 10

y = -4

Point D (x , y) = (3, -4)

Hence, (3, -4) are the coordinates of point D of parallelogram.

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Thursday
Evaluate the following expression. Show your
steps.
Step 1: Plug in (substitute)
Step 2: Solve.
3(b + 8); b = 9
Motob

Answers

Answer:

51

Step-by-step explanation:

3(b+8)

3(9+8)

3(17)

51

If using the method of completing the square to solve the quadratic equation x^2-19x+23=0x

2

−19x+23=0, which number would have to be added to "complete the square"?

Answers

The number that needs tο be added tο cοmplete the square is 90.25.

What is the quadratic equatiοn?

In algebra, a quadratic equatiοn is any equatiοn that can be rearranged in standard fοrm as where x represents an unknοwn value, and a, b, and c represent knοwn numbers

Tο cοmplete the square fοr the quadratic equatiοn x² - 19x + 23 = 0, we need tο add a number that is equal tο half οf the cοefficient οf x (which is -19) squared.

Sο,

(-19/2)² = 90.25

Therefοre, we need tο add 90.25 tο bοth sides οf the equatiοn:

[tex]x^2 - 19x + 23 + 90.25 = 90.25[/tex]

Then we can rewrite the left side as a perfect square:

[tex](x - 9.5)^2 = 90.25[/tex]

Now we can take the square root of both sides to solve for x:

x - 9.5 = ±√(90.25)

x = 9.5 ± 9.5√(2)

Hence, the number that needs to be added to complete the square is 90.25.

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Answer: 90.25

Step-by-step explanation:

If f(x) = 5x +40, what is (fx) when x =-5?
a -9
a -8
c 7
d 15​

Answers

Answer:

D.

Step-by-step explanation:

f(x) = 5x+40

f(-5) = 5(-5)+40

f(-5) = -25+40

f(-5) = 15

The answer is A) -9

In complete sentences, compare and contrast the metric system and the U.S customary system. Which system is it easier to convert? Explain.

Answers

Answer:

232423

Step-by-step explanation:

Find three consecutive even numbers such that five times the smallest number is equal to twice the sum of the other two number

Answers

Answer:

let the integers be n, n+2 and n+4

5(n+4) = 2(n + n+2) +42

5n +20 = 4n +4+42

n = 46 -20 = 26

Step-by-step explanation:

I think

Nam-Joon created a painting with an area of 30 square feet and a length of 5 feet. He creates a second painting with an area of 24 square feet. It has the same width as the first painting. What is the length of the second painting

Answers

Answer:

4 feet

Step-by-step explanation:

Divide 30 by 5 to get the width of the first painting, 6 feet. Divide 24 by 6 to get the length of the second painting, 4 feet.

Hopefully this helps- let me know if you have any questions!

There are 24 students in the class. They had the choice to buy supplies from two different stores, Store A and B. Each of them bought 2 binders and 5 notebooks. The students have a total of $420 to spend. Part A:

If the unit price of a notebook in Store A is $1. 50, what is the unit price of a binder?

Answers

The unit price for a binder is $5.

I need Help please! I am on a math quiz and am stuck

Answers

Answer:

uh i think is uh carrot

Step-by-step explanation:

Answer:

64cm

Step-by-step explanation:

If A=[tex]\left[\begin{array}{ccc}1&4\\5&6\\\end{array}\right][/tex] and aij =6 then find the value of i and j

Answers

Given :- [tex]A=\left[\begin{array}{ccc}1&4\\5&6\\\end{array}\right][/tex]a[tex]_{ij}[/tex] = 6

To Find :- Value of i and j

Solution:-

[tex]\longrightarrow[/tex]In a matrix the the the position of an element is determined by using a[tex]_{ij}[/tex] where i the number of row and j is number of column in which the element is.

[tex]\leadsto[/tex]Since 6 is in 2nd column and 2nd row , it's position can be written as a[tex]_{22}[/tex]

Comparing with a[tex]_{ij}[/tex]

i = 2j = 2

Can someone help me?

Answers

Answer:

14/81

Step-by-step explanation:

you plug in 5 for x

Does anyone know the answer?

Answers

Answer:

4/19

Step-by-step explanation:

help me pls
Find the value of x.​

Answers

Answer:

33

Step-by-step explanation:

The bottom angle is a completely straight line, and that means the angle is 180 degrees.

180 - 81 = 99

So, this means 3x = 99. We need to isolate the variable, so we have to divide everything by 3.

x = 33

Answer:

waaait i know how to do this lol ( i feel like this is correct)

x = 33

Step-by-step explanation:

so a line is 180 right?

so make the equation like this

180 = 81 + 3x

now solve for x by doing algebra

(minus both sides by 81)

3x = 99

x = 33

For what values of a are the following expressions true?


| a + 5 | = -5 - a

Answers

Answer:

not sure if there are more but a=-5

Step-by-step explanation:

|a+5|=-5-a

|-5+5|=-5 - - 5

|-5+5| = -5 + 5

| 0 | = 0

0=0

Answer:

5-5=0+5=5 so the answer is five

I dont know what the axis of symmetry is...​

Answers

Answer:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. ... The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Step-by-step explanation:

Which is the value of g(−5) if g(x)=3.4x−8?

Answers

i believe it is 9
The given function :
To find the value of g(5) , we need to substitute (Using substitution property) the value of x= 5 in the above function.
Now, put x= 5 in g(x), we get

A piece of property has the shape of a right triangle. the longer leg is 10m shorter than twice the length of the shorter leg and the hypotenuse is 20m longer than the length of the longer leg. find the length of the sides of the triangle

Answers

Answer: 80 m, 150 m, 170 m

Step-by-step explanation:

Dana helped her dad build a sandbox for her younger sister. The sandbox is shaped like a rectangular prism that is 4 1 2 feet long and 4 feet wide. Dana used bags of sand to fill the sandbox 1 2 of a foot deep. Each bag contains 1 2 of a cubic foot of sand. How many bags of sand did Dana use?

Answers

The number of bags of sand needed to fill the sandbox is 18 bags

How to find volume of a rectangular prism

Length = 4 1/2 ftWidth = 4 ftHeight = 1/2 ftQuantity of each bag of sand = 1/2 ft³

Volume = L × W × H

= 4 1/2 × 4 × 1/2

= 4.5 × 4 × 0.5

= 9 ft³

Number of bags of sand needed to fill the sandbox = volume of the sandbox ÷ quantity of each bag

= 9 ft³ ÷ 1/2 fr³

= 9 × 2/1

= 18 bags

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Sydney bought a new 75" Samsung TV at a 10% decrease on the original price. The sale price was $3. 999. What was the original price (to the nearest cent)?

Answers

Answer:

4.3989

Step-by-step explanation:

bec we will do 3.999 +10% and this should give us the right answer

what is 700 times 18

Answers

Answer:

12,600

Step-by-step explanation:

Answer:

12,600

Step-by-step explanation:

700 x 18 = 12,600

Tisha and Dana were both fishing for salmon, and by coincidence, caught the same number of fish this week. Tisha caught salmon in nets that hold 15 15 fish, while Dana caught salmon in nets that hold 18 18 fish. What is the minimum possible number of fish each must have caught?

Answers

Answer:

The minimum number of fish each must have caught is 90 fishes

Step-by-step explanation:

The number of fishes Tisha's net can hold = 15

The number of fishes Dana's net can hold = 18

Let the total number of fishes both Tisha and Dana caught = X

15 × A = 18 × B = X

Therefore, X is the lowest common multiple (LCM) of 15 and 18 given as follows;

15 = 3 × 5

18 = 3 × 6

Therefore, the LCM of 18 and 5 = 3 × 5 × 6 = 90

Which gives, the minimum number of fish each must have caught = 90 fishes.

PLEASE CAN I HAVE HELP

Answers

Answer:

1.28

is the answer :) since the number after 7 is 5 you round up

Answer: 1.28

The 7 is in the hundredth's place, and since there is a 5 after it, we round up.

Devin buys 12 candy bars for
$12. He sells them for $1
each. What's wrong with this
scenario?
do
What would
you
differently?

Answers

Devin is buying 12 for $12 so for each he bought it was $1. If he’s selling them for the same price he bought them for (each) when he sells all 12 for $1, he will be left off with the same price he started off with. Devin is not making any profit. What i would do is sell them for $1.50, and then after each is sold, the total earnings would be $18.

declan deposits $850 into a savings account that pays 3.4% annual interest compounded quarterly. what will be the balance after 5 years?

Answers

Answer:

the answer should be $994.5

The balance after 5 year comes out to be $3552.80

What is compound interest ?

Compound interest is the interest on savings that is computed using both the original principal and the interest accrued over time. It will accelerate the growth of a sum more quickly than simple interest, which is only applied to the principal sum.

Here,

The declan deposits $850 into a savings account that pays 3.4% annual interest compounded quarterly.

Thus rate= 3.4% and principle amount = 850

Therefore it is compounded quartely,

The balance after year=

[tex]C=Pe^{rt}[/tex]

[tex]C= 850 e^{3.5(5)}\\\\C= 850 e^{17.5}[/tex]

C = 3552.80

Therefore, the balance after a year comes out to be $3552.80

Therefore the balance comes out to be after compounded annually is

$3552.50

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How much simple interest does $2,560 earn in 17 months at a rate of 11
%. Round to the nearest cent (hundredth). What will be the new
balance?

Answers

Answer:

You end up with $15,091.44 This means you earned $12,531.44

Step-by-step explanation:

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