By applying Pythagorean's theorem, the missing side of this right-angled triangle is: A. 7√3 inches.
<h3>How to find the missing side?</h3>
By critically observing the triangle shown in the image attached below, we can logically deduce that it is a right-angled triangle. Thus, we would find the missing side by applying Pythagorean's theorem:
z² = x² + y²
Also, the sides of this right-angled triangle are:
- Opposite side = x inches.
- Adjacent side = 7 inches.
Substituting the given parameters into the formula, we have;
14² = x² + 7²
196 = x² + 49
x² = 196 - 49
x² = 147
x = √147
x = √49 × √3
x = 7√3 inches.
Read more on Pythagorean theorem here: brainly.com/question/23200848
#SPJ1
Answer: 2 1/4 more flour for 9 servings
Step-by-step explanation: (a) how many total cups of flour are there per serving? show your work
1 1/2÷6= 3/2 x 1/6 = 3/12= 1/4 cups of flour per serving
(b) how many total cups of sugar (white and brown) are there per serving?show your work
3/4 + 1/3 = 9/12 + 4/12= 13/12= 1 1/12 total cups of sugar
13/12 ÷ 6/1 = 13/12 x1/6 = 13/72 per serving
(c) supposed you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe?Show your work/
1/4 x 9 = 9/4 = 2 1/4 more flour for 9 servings.
Answer:
m=-5/2
Step-by-step explanation:
Use the slope-intercept form y=mx+b to find the slope m.
Answer:

Step-by-step explanation:
This problem can be solved by using the expression for the Volume of a solid with the washer method
![V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint%20%5Climit_a%5Eb%5BR%28x%29%5E2-r%28x%29%5E2%5Ddx)
where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).
Before we have to compute the limits of the integral. We can do that by taking f=g, that is

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)
x1=0.14
x2=8.21
and because the revolution is around y=-5 we have

and by replacing in the integral we have
![V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint%20%5Climit_%7Bx1%7D%5E%7Bx2%7D%5B%28lnx%2B5%29%5E2-%28%5Cfrac%7B1%7D%7B2%7Dx%2B3%29%5E2%5Ddx%5C%5C)
and by evaluating in the limits we have

Hope this helps
regards
Looking at the image attached, we can see the assumed sales of the Chewy Candy Company for its new candy bar in Manila and Seoul. Setting up the given condition for separate branches, we clearly see that during the 6th month, the total sales in Manila first exceeded the cumulative total sales in Seoul.