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4 years ago

56

Mathematics

1 answer:

Dafna1 [17]4 years ago

7 0

Answer:

Step-by-step explanation:

134 + 167 = 301

301/7=43

301+430= 344

344/9 = 38.2 so you would need 39 tables

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You have a large container of olive oil. You have used 25 quarts of oil.

Svetradugi [14.3K]

Step-by-step explanation:

25 plus 25 equal 50 so 50 percent

7 0

3 years ago

What is that name of this figure

Nataliya [291]

Answer:

A square

Step-by-step explanation:

6 0

3 years ago

The area of a circle is 43.25cm2.<br> Find the length of the radius rounded to 2 DP.

Monica [59]

Answer:

3.71 cm

Step-by-step explanation:

Hi there!

Area of a circle equation: $A=\pi r^2$ where r is the radius

Plug in the area 43.25 cm²

$43.25=\pi r^2$

Divide both sides by π to isolate r²

$\frac{43.25}{\pi} =\frac{\pi r^2}{\pi} \\\frac{43.25}{\pi}=r^2$

Take the square root of both sides to isolate r

$\sqrt{\frac{43.25}{\pi}} =r\\3.71=r$

Therefore, the length of the radius rounded to 2 decimal points is 3.71 cm.

I hope this helps!

8 0

3 years ago

Approximate the area under the curve over the specified interval by using the indicated number of subintervals (or rectangles) a

devlian [24]

Answer:

The area under the function $\int\limits^3_1 {9-x^2} \, dx \approx 7.25.$ .

Step-by-step explanation:

We want to find the Riemann Sum for $\int\limits^3_1 {9-x^2} \, dx$ with 4 sub-intervals, using right endpoints.

A Riemann Sum is a method for approximating the total area underneath a curve on a graph, otherwise known as an integral.

The Right Riemann Sum is given by:

$\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_1)+f(x_2)+f(x_3)+...+f(x_{n-1})+f(x_{n})\right)$

where $\Delta{x}=\frac{b-a}{n}$

From the information given we know that a = 1, b = 3, n = 4.

Therefore, $\Delta{x}=\frac{3-1}{4}=\frac{1}{2}$

We need to divide the interval [1, 3] into 4 sub-intervals of length $\Delta{x}=\frac{1}{2}$ :

$\left[1, \frac{3}{2}\right], \left[\frac{3}{2}, 2\right], \left[2, \frac{5}{2}\right], \left[\frac{5}{2}, 3\right]$

Now, we just evaluate the function at the right endpoints:

$f\left(x_{1}\right)=f\left(\frac{3}{2}\right)=\frac{27}{4}=6.75$

$f\left(x_{2}\right)=f\left(2\right)=5=5$

$f\left(x_{3}\right)=f\left(\frac{5}{2}\right)=\frac{11}{4}=2.75$

$f\left(x_{4}\right)=f(b)=f\left(3\right)=0=0$

Next, we use the Right Riemann Sum formula

$\int\limits^3_1 {9-x^2} \, dx \approx \frac{1}{2}(6.75+5+2.75+0)=7.25$

7 0

4 years ago

The lengths of the sides of a triangle are 3, 3, 3 square root of 2. Can the triangle be a right triangle?

Finger [1]

<span>if a triangle is a right triangle, the square of the longest side will equal the sum of the squares of the other two sides:

(3√2)² = 3² + 3²
18 = 9+9
18 = 18

The triangle is a right triangle. </span>

4 0

3 years ago