All categories

2 years ago

Clara simplifies {8b-4r}- {2b-r} and says the result is 6b-5r. What error did Clara make?

Mathematics

2 answers:

Nady [450]2 years ago

8 0

She regrouped the numbers instead of multiplying like 8b(2b-r) -4r(2b-r).

GREYUIT [131]2 years ago

3 0

She did not distribute the negative. Poor Clara.

You might be interested in

Find the trig ratio. Reduce to<br> lowest terms.<br> 10<br> 24<br> sin A =

Luba_88 [7]

The value of sin A is equal to $\frac{5}{13}.$

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º. In this triangle from the trigonometric ratios or the Pythagoras Theorem ( $hypotenuse^2=(side_1)^2+(side_2)^2$ ), it is possible finding angles or sides.

<h3>Trigonometric Ratios</h3>

The main trigonometric ratios for a right triangle are presented below.

$sin\alpha =\frac{opposite \; side}{hypotenuse}$

$cos\alpha =sin\alpha =\frac{adjacent\; side}{hypotenuse}$

$tan\alpha =\frac{opposite \; side}{adjacent\; side}$

The question asks the sin A. First, you should find the hypotenuse from Pythagoras Theorem.

$hypotenuse^2=(10)^2+(24)^2\\ \\ hypotenuse^2=100+576\\\\ hypotenuse^2=676\\ \\ hypotenuse=26$

Now you can find sin A.

$sin\A=\frac{10}{26}=\frac{5}{13}$

Learn more about trigonometric ratios here:

brainly.com/question/11967894

#SPJ1

3 0

2 years ago

The Reyes want grilled chicken and tilapia for dinner. Mrs.

seropon [69]

Answer:

Kilogram of chicken = 1

Kilogram of tilapia = 3

Step-by-step explanation:

Cost of chicken = 150 per kilo

Cost of tilapia = 100 per kilo

Number of kilos of each if total cost should not exceed 450

Let :

Number of kilo of chicken = x

Number of tilapia kilo = y

The constraint :

150x + 100y ≤ 450

We could choose some reasonable values of x and y then, test the constraint ;

If x = 1 and y = 3

150(1) + 100(3) = 450

Hence,

1 kilo of chicken with 3 kilos of tilapia offers the greatest combination of Number of kilograms of tilapia and chicken that could be purchased and still satisfy the maximum cost constraint.

6 0

2 years ago

In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.

Alona [7]

Answer:

$f(x) = x^3 +5x^2-4x-20$

Step-by-step explanation:

Given

$Zeros: -5,-2,2$

Required

The polynomial function

If a function has a, b and c as its zeros, the function is:

$f(x) = (x - a)(x - b)(x - c)$

So, we have:

$Zeros: -5,-2,2$

$f(x) = (x - (-5))(x - (-2))(x - 2)$

Open the inner brackets

$f(x) = (x +5)(x +2)(x - 2)$

Expand the difference of two squares

$f(x) = (x +5)(x^2 - 4)$

Expand

$f(x) = x^3 +5x^2-4x-20$

4 0

2 years ago

Find the volume of the garden shed

Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

$\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}$

<h3><u>Volume of a pyramid</u></h3>

<u />

From inspection of the given diagram, the slant height of the pyramid is 3.5 m.

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

$\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}$

Therefore:

$\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}$

<h3><u>Volume of the garden shed</u></h3>

$\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}$

6 0

9 months ago

Read 2 more answers

(PLEASE HELP I WILL GIVE BRAINLIEST IF CORRECT (40 POINTS)

Andrews [41]

Answer:

2800 - 4000

Step-by-step explanation:

40 × 70 = 2800

50 × 80 = 4000

3 0

2 years ago