Of the following approximate conversions of Fahrenheit into Celsius, which is most accurate?

I WILL GIVE 100 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. Identify all the numbered angles that are congruent to the given

Free_Kalibri [48]

Answer:

Angle 1,4 and 7

Step-by-step explanation:

I know I know

4 0

3 years ago

Read 2 more answers

Point p(a,b) is in the first quadrant on the graph of the line x+y=4. A triangular region is shown on the diagram. What is the m

Gala2k [10]

Answer:

The maximum area of the triangular region is 2 square units

Step-by-step explanation:

we know that

The area of the triangular region is equal to

$A=\frac{1}{2}(x)(y)$ -----> equation A

where

x is the x-coordinate of point P

y is the y-coordinate of point P

we have

The equation of the graph of the line is

$x+y=4$

$y=-x+4$ -----> equation B

substitute equation B in equation A

$A=\frac{1}{2}(x)(-x+4)$

$A=-\frac{1}{2}x^2+2x$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The y-coordinate of the vertex represent the maximum area of the triangular region

Find the vertex

Convert the quadratic equation in vertex form

Factor -1/2

$A=-\frac{1}{2}(x^2-4x)$

Complete the square

$A=-\frac{1}{2}(x^2-4x+4)+2$

Rewrite as perfect squares

$A=-\frac{1}{2}(x-2)^2+2$

The vertex is the point (2,2)

so

The maximum area is the y-coordinate of the vertex

The maximum area of the triangular region is 2 square units

Find the coordinates of point P for the maximum area

x=2 (x-coordinate of the vertex)

Find the y-coordinate of point P

substitute in equation B

y=-2+4=2

The coordinates of point P for the maximum area is P(2,2)

3 0

4 years ago

In the figure name ALL the angles that are congruent to angle 8.

Andrei [34K]

The angels that are congruent to 8 are 6, 3, 1.

3 0

3 years ago

The yard behind the Cindy’s house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet

PtichkaEL [24]

Let
L----------> the length of the yard
W--------> the width l of the yard

we know that
the perimeter is equal to
 $P=2*[W+L]$
$72=2*[W+L] \\ 36=W+L$ --------> equation 1
$L=W+18$ ------> equation 2
substitute equation 2 in equation 1
 $36=W+18+W \\ 36=2W+18 \\ W=(36-18)/2$
$W=9 ft$
$L=W+18 \\ L=9+18 \\ L=27 ft$

we know that
Area of the rectangular yard is equal to
 $A=L*W \\ A=27*9 \\ A=243 ft^{2}$

4 0

4 years ago

Read 2 more answers

Jessica wants to spend less than $80.00 per month on her cell phone. Write and solve an inequality that shows how many text mess

KiRa [710]

Complete Question

Jessica pays a flat rate of $70 for her cell phone and is charged $0.05 for every text she sends. Jessica wants to spend less than $80.00 per month on her cell phone. Write and solve an inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00.

Answer:

Inequality: 70 + 0.05x < 80

Solution: x < 200

Step-by-step explanation:

Let x represents the minimum number of SMS.

If 1 SMS is charged at $0.05, then x SMS would be charged at $0.05x

Considering that she pays a flat rate of $70.

The inequality to represent the minimum number of SMS she needs to send is:

70 + 0.05x < 80

To solve this inequality, follow the following steps

Collect like terms

0.05x < 80 - 70

0.05x < 10

Divide through by 0.05

0.05x/0.05 < 10/0.05

x < 10/0.05

x < 200

The solution to the inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00 is x < 200.

5 0

4 years ago