Step-by-step explanation:
what is the meaning of ^ this sign
Answer:
The correct answer is 144.
Step-by-step explanation:
The librarian noticed that 60% of total seventh graders checked out fantasy books from the library.
Total number of seventh graders is given to be 240.
Number of seventh grade students who checked out fantasy books = 60% of 240 = 0.6 × 240 = 144.
Thus out of 240 seventh graders 144 of them would check out a fantasy book from the library.
Answer:
see below
Step-by-step explanation:
f(x) = –(x + 6)(x + 2)
The function is increasing until it reaches the vertex, so it will increase until x=-4. The function will decrease after the vertex, so after x = -4
increasing: -∞ < x < -4
decreasing : -4 < x < ∞
The length of the yard is 25ft.
In order to find this we first need to set up variables for the length and the width. Since we don't know anything about the width, we'll set it as x. Then, we know the length is equal to ten more than three times the width. Since the width is x, we can write the length as 3x + 10. Now we can use the formula for the perimeter of a rectangle to solve for x.
2l + 2w = P
2(3x + 10) + 2(x) = 60
6x + 20 + 2x = 60
8x + 20 = 60
8x = 40
x = 5
Now that we have a value for x, we can plug into the length equation and find the length.
3x + 10
3(5) + 10
15 + 10
25
Answer:
Given triangle ABC with altitude segment BD labeled x. Angles ADB and CDB are right angles by _____1._____, making triangle ABD and triangle BCD right triangles. Using the trigonometric ratios sine of A equals x over c and sine of C equals x over a. Multiplying to isolate x in both equations gives x = _____2._____ and x = a ⋅ sinC. We also know that x = x by the reflexive property. By the substitution property, _____3._____. Dividing each side of the equation by ac gives: sine of A over a equals sine of C over c.
Step-by-step explanation:
