Answer:
The first choice
Step-by-step explanation:
Area of a triangle is 1/2x base x height
the base is 10 and height is 24
26 is the hypotenuse but it is not used in calculating the area
Hope this helps :)
Answer:
85.1 ft
Step-by-step explanation:
The extreme water slide forms a 20 angle with the tower it leans against 80 feet above the ground find the length of the slide x
We solve using the Trigonometric function of Cosine
cos y = adjacent/hypotenuse
y = angle = 20°
Adjacent = 80 ft
Hypotenuse = ?
cos 20 = 80/Hypotenuse
Hypotenuse = 80/cos 20
x = 85.134221798 ft
Approximately = 85.1 ft
Length of the slide = 85.1 ft
Well first you have to simplify the denominators with x, by multiplying the denominator on the left times the top and bottom of the middle, and vice versa to get 10x/(4x^2-4x)-9(2x-2)/(4x^2-4x)=-1/4 and then you combine the fractions on the left to get 2(9-4x)/(4x^2-4x)=-1/4 and then you cross multiply the fractions to get 8(9-4x)=-4x^2+4x and then simplify to get 72-32x=-4x^2+4x and then 4x^2-36x+72=0 which then we can turn into 4(x-6)(x-3)=0 so x is 6 and 3
To answer this question you will find out the total number of cupcakes donated and then calculate the amount of each flavor based on the percentage that is stated.
Here are the steps:
1. 12 x 10 x 12 (12 classes each donating 10 dozen) = 1440
2. 0.55 x 1440 (55% are chocolate) = 792 chocolate
3. 1440 - 792 (the remaining number of cupcakes)=648
4. 1/3(33 1/3%) x 648 = 216 red velvet
5. 1440 - 792 (chocolate) - 216 (red velvet) = 432 vanilla cupcakes
Chocolate-792
Red velvet - 216
Vanilla - 432
Complete the equation of the line through (-6,-5)(−6,−5)(, minus, 6, comma, minus, 5, )and (-4,-4)(−4,−4)(, minus, 4, comma, min
alina1380 [7]
Answer:

Step-by-step explanation:
We have been given two points on a line
and
. We are asked to write an equation passing through these points.
We will write our equation in slope-intercept form of equation
, where,
m = Slope of line,
b = Initial value or the y-intercept.
Let us find slope of given line using slope formula.

Let point
and point
.



Now, we will substitute
and coordinates of point
in slope-intercept form of equation as:




Upon substituting
and
in slope-intercept form of equation, we will get our required equation as:

Therefore, our required equation would be
.