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salantis [7]
3 years ago
7

Find the area of the following trapezium:

Mathematics
1 answer:
sdas [7]3 years ago
4 0

Answer:

619.5cm2

Step-by-step explanation:

Based on what you defined as the parallel sides been 26cm and 33cm and the height been 21cm.

Hence the are of trapezium is half sum of the parallel sides × height.

Expressed mathematically we have:

1/2( 26 +33) × 21 = 1/2 ( 59) × 21 = (59×21)/2= 619.5cm2

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Find the value of x and the measure of each labeled angle. (8x - 20ºX (5x + 37)​
11111nata11111 [884]

According to above figure, the angles (8x - 20)° and (5x + 37)° are pairs of vertical opposite angles, so

  • 8x - 20 = 5x + 37

  • 8x - 5x = 37 + 20

  • 3x = 57

  • x = 57 ÷ 3

  • x = 19
5 0
3 years ago
Given that 5x:9=7:3 calculate the value of x. give your answer in its simplest form.
Hitman42 [59]

\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}

<h3>x = 21/5</h3>

Step-by-step explanation:

<h3>___________________________</h3>

<h3>Given →</h3>

5x:9 = 7:3

<h3>So,</h3>

→ 5x/9 = 7/3

→ x = (7 × 9)/(3 × 5)

→ x = 21/5

<h3>___________________________</h3>

<h3>Hope it helps you!!</h3>
8 0
2 years ago
Given a table of values of a quadratic function, which of the following do you absolutely need in order to find its equation? *
nadya68 [22]

Answer:

The general form of a quadratic function is --> y = ax2 + bx + c

Since (0, -2) exists for the function, we can plug in those values:

-2 = a(0)2 + b(0) + c

-2 = 0 + 0 + c

-2 = c

So now our function so far is --> y = ax2 + bx - 2

We have two pairs of coordinates left: (-1, -8) and (3, -8).

First, plug in the first pair and simplify as much as you can:

-8 = a(-1)2 + b(-1) - 2

-8 = a - b - 2 ( add 2 to both sides )

-6 = a - b (stop here because we can't go further)

Second, plug in the second pair and simplify as much as you can:

-8 = a(3)2 + b(3) - 2

-8 = 9a + 3b - 2 ( add 2 to both sides )

-6 = 9a + 3b (stop here because we can't go further)

Now we have these two equations left:

a - b = -6

9a + 3b = -6

Now we solve for a and b using systems of equations, using one of three ways:

substitution

elimination

graphing (not my favorite, but it is doable)

Using substitution:

a - b = -6 can be rewritten as a = b - 6

plug into the second equation and solve for b

9(b - 6) + 3b = -6 (distribute the 9)

9b - 54 + 3b = -6 (combine all of the b's)

12b - 54 = -6 (add 54 to both sides)

12b = 48 (divide by 12 on both sides to isolate b)

b = 4

plug b into one of the original two equations

a - 4 = -6 (add 4 to both sides)

a = -2

The quadratic equation for this table is y = -2x2 + 4b - 2

6 0
2 years ago
What is the equation of the line whose slope is 1/3 and y-intercept is -4?
faltersainse [42]

Answer:

y=1/3x-4

Step-by-step explanation:

the slope-intercept format of the line is y=mx+b, where m is the slope and b is the y intercept.

we are given the slope (1/3) and the y intercpet (-4).

substitute the numbers into the equation

y=1/3x-4

the answer is y=1/3x-4

hope this helps!

3 0
3 years ago
Lori want to distribute 35 peaches equally into baskets. she will use more than 1 but fewer than 10 baskets how many basket Lori
Hunter-Best [27]
Unless this is a trick question, I think 7 baskets. If you have 7 baskets then you can put 5 peaches in each basket. Hope this is right.
7 0
3 years ago
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