Ask question

Ask question

All categories

2 years ago

7

Determine the area of the rectangular ABCD with AB=5cm and BC=3cm. A 5cm B 3 cm D C с Determine the area of the triangular AB wi

th AC

1 answer:

lbvjy [14]2 years ago

7 0

Ac is 20cm and an is 5 cm u jus have to add them together

You might be interested in

what is the smallest of three consecutive integers i the sum of the smaller two integers is two more than seven times the larges

NNADVOKAT [17]

Answer:

The numbers that meet these conditions are -3, -2 and -1.

This means that the wording of the question is somewhat ambiguous:

The <em>lowest</em> of the three numbers is -3.

The <em>smallest</em> however is -1.

You may need clarification on which of those is being asked for.

Step-by-step explanation:

Let's call those numbers a, b and c, with a the smallest and c the largest. We're told two key things here:

1) The sum of the smaller two integers is two more than seven times the largest integer. In other words a + b = 7c + 2

2) We're looking for three consecutive integers, which means that we can define them with a single variable. If the smallest one is a, then the others are a + 1 and a + 2.

We can take those and put them together, giving us the equation:

a + (a + 1) = 7(a + 2) + 2

Which we can then solve for a:

a + (a + 1) = 7(a + 2) + 2

2a + 1 = 7a + 14 + 2

2a - 7a = 14 + 2 - 1

-5a = 15

a = -3

Since a is -3 and also the smallest, we can then say that the numbers are -3, -2 and -1.

3 0

2 years ago

Fitness Classes cost £6 per person. The table shows the number of people who go to the classes on Thursday, Friday and Saturday.

Pachacha [2.7K]

Answer:

£216

Step-by-step explanation:

Cost = £6 per person
Teacher earns = 90% of total

<u>Total number of people:</u>

13 + 11 + 16 = £40

<u>Total paymen</u>t:

40*6= £240

<u>Teacher earns in total per given week:</u>

240*90/100 = £216

7 0

3 years ago

If the volume of the planter is 3,072 cubic inches, how tall is the planter?

andrezito [222]

$\it \mathcal{V} =\dfrac{\mathcal{A}_b\cdot h}{3} \Rightarrow h = \dfrac{3\mathcal{V}}{\mathcal{A}_b}= \dfrac{3\cdot3072}{\mathcal{A}_b}\ \ \ \ \ (*)
\\\;\\ \\\;\\
\mathcal{A}_b = \dfrac{\ell^2\sqrt3}{4} = \dfrac{16^2\sqrt3}{4} =\dfrac{16\cdot16\sqrt3}{4} =4\cdot16\sqrt3=64\sqrt3\ \ \ \ (**)
\\\;\\ \\\;\\
(*),\ (**) \Rightarrow h=\dfrac{3\cdot3072}{64\sqrt3} = \dfrac{3\cdot48}{\sqrt3} = \dfrac{\sqrt3\cdot\sqrt3\cdot48}{\sqrt3} = 48\sqrt3\ inches$

4 0

3 years ago

The vertex form of a function is g(x) = (x – 3)2 + 9. How does the graph of g(x) compare to the graph of the function f(x) = x2?

Alekssandra [29.7K]

we have

$g(x)=(x-3)^{2}+9$

This is the equation of a vertical parabola with vertex at point $(3,9)$

The parabola open upward------> the vertex is a minimum

$f(x)=x^{2}$

This is the equation of a vertical parabola with vertex at point $(0,0)$

The parabola open upward------> the vertex is a minimum

so

the rule of the translation is

$f(x)------> g(x)$

$(x,y)-----> (x+3,y+9)$

that means

the translation is $3$ units to the right and $9$ units up

the graph of the function g(x) is the translated graphic of the function f(x) $3$ units to the right and $9$ units up

therefore

<u>the answer is</u>

g(x) is shifted $3$ units right and $9$ units up

8 0

3 years ago

Read 2 more answers

The product of 6 less than a number and 4 more than the<br> number

Lorico [155]

Answer:

(x-4)(x+8)

Step-by-step explanation:

8 0

3 years ago