All categories

3 years ago

Please answer question 10

Mathematics

1 answer:

insens350 [35]3 years ago

7 0

Answer:

Where is the graph?

Step-by-step explanation:

You might be interested in

Each letter from the word MATHEMATICS is written on a separate slip of paper. The 11th slips of paper are placed in a hat and tw

amid [387]

It may be possibly 4 out of 9

6 0

3 years ago

Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 30 feet long. The function y = 15 t

Stella [2.4K]

Answer:

A. 8.66 feet

B. 12.59 feet

C. Area of triangle when $\theta=30$ is 129.9 square feet. Area of triangle when $\theta=40$ is 188.85 square feet. Increasing the angle $\theta$ increases the area.

Step-by-step explanation:

The equation that models the height of the triangle is:

$y=15 Tan \theta$

Where,

$y$ is the height, and

$\theta$ is the angle

When $\theta=30$ , the height is:

$y=15Tan30\\y=8.66$

B. When $\theta=40[/tex\ , the height is:[tex]y=15Tan40\\y=12.59$

C. To find the area of the isosceles triangular shaped garden, we use the formula for the area of the triangle:

$A=\frac{1}{2}bh$

Where,

A is the area
b is the base, which is given as 30 feet, and
h is the height [8.66 feet when the angle is 30 & 12.59 when angle is 40]

When Vance uses $\theta=30$ , the area is:

$A=\frac{1}{2}(30)(8.66)\\A=129.9$ square feet

When Vance uses $\theta=40$ , the area is:

$A=\frac{1}{2}(30)(12.59)\\A=188.85$ square feet

So we see that when the angle is more, the area is also more.

4 0

3 years ago

Read 2 more answers

Please show ALL work! Solve for x: log₂x+log₂(x-6)=4

Vlad [161]

Answer: x = 8

---------------------------------------------
---------------------------------------------

I'm going to use the notation log(2,x) to indicate "log base 2 of x". The first number is the base while the second is the expression inside the log (aka the argument of the log)

log(2,x) + log(2,(x-6)) = 4
log(2,x*(x-6)) = 4
x*(x-6) = 2^4
x*(x-6) = 16
x^2-6x = 16
x^2-6x-16 = 0
(x-8)(x+2) = 0
x-8 = 0 or x+2 = 0
x = 8 or x = -2

Recall that the domain of log(x) is x > 0. So x = -2 is not allowed. The same applies to log(2,x) as well.

Only x = 8 is a proper solution.

------------------------

You can use the change of base rule to check your work
log base 2 of x = log(2,x) = log(x)/log(2)
log(2,(x-6)) = log(x-6)/log(2)

So,
(log(x)/log(2)) + (log(x-6)/log(2)) = 4
(log(8)/log(2)) + (log(8-6)/log(2)) = 4
(log(8)/log(2)) + (log(2)/log(2)) = 4
(log(2^3)/log(2)) + (log(2)/log(2)) = 4
(3*log(2)/log(2)) + (log(2)/log(2)) = 4
3+1 = 4
4 = 4
The answer is confirmed

5 0

3 years ago

Solve for x. 5x - 1 = 26 x = 27/5 x = 5 x = -5

yan [13]

5x = 26 + 1
5x = 27
x = 27/5

Answer: A) or the first option ✅

4 0

3 years ago

100 POINTS FOR WHOEVER ANSWER THIS QUESTION FULLY!!!

natulia [17]

Answer:

Yes, diagonals bisect each other

Step-by-step explanation:

See attached

Plot the points on the coordinate plane

Visually, it is seen that the diagonals bisect each other.

We can prove this by calculating midpoints of AC and BD

Midpoint of AC has coordinates of:

x = (1 - 1)/2 = 0
y = (4 - 4)/2 = 0

Midpoint of BD has coordinates of:

x = (4 - 4)/2 = 0
y = (-1 + 1)/2 = 0

As per calculations the origin is the bisector of the diagonals.

7 0

3 years ago