The Harper family purchased a small microwave for their family room. The diagonal of the door measures 15 inches. The door also has an area of 108 square inches. What are the length and width of the microwave door? Enter values separated by a comma.

Answer:

6.4 × 10 ^-5

Step-by-step explanation:

(0.04)^5 × 625 = 6.4 × 10^-5 (6.4e-5)

[tex]\boxed{D)\:5}[/tex] ✔

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{A)\:-4}[/tex] ❌

[tex]x - 4 < - 2 \\ = - 4 - 4 < - 2 \\ = - 8 < - 2[/tex]

[tex]\sf\purple{B)\:-1}[/tex] ❌

[tex]x - 4 < - 2 \\ = - 1 - 4 < - 2 \\ = - 5 < - 2[/tex]

[tex]\sf\purple{C)\:0}[/tex] ❌

[tex]x - 4 < - 2 \\ = 0 - 4 < - 2 \\ = - 4 < - 2[/tex]

[tex]\sf\red{D)\:5}[/tex] ✅

[tex]x - 4 > - 2 \\ = 5 - 4 > - 2 \\ = 1 > - 2[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

Step-by-step explanation:

Perpendicular bisector of the chord connecting the the points (-1,2) and (2,3) is also passing through the center of the circle.

We'll find the equation of the line and solve the system to find the center.

Midpoint of the chord:

Equation of the line through chord (-1,2) and (2,3):

Perpendicular bisector is:

And the given line is:

Solve the system:

Find y:

The center is (-1, 7)

Find the radius, the distance from center to one of points on circle

The equation of circle is:

Hope This Helps!!!

Hope This Helps!!!Have A GREAT DAY!!!

Answer:

Pair 2.

Step-by-step explanation:

For the volumes to be the same the base areas must also be the same.

For Pair 2 the areas are 25π and 24π while the other 2 pairs have both base areas = 25π.

Answer:

F

Step-by-step explanation:

Let the third side be x :

( 3√5 )^2 = 6^2 + x^2

45 = 36 + x^2

x^2 = 45 - 36

x^2 = 9

x = 3

Answer:

[tex]4.\ \sin E = \cos G[/tex]

Step-by-step explanation:

Given

[tex]\triangle EFG[/tex]

[tex]\angle F = 90^o[/tex] --- right angle

Required

Which of the options is true

In a triangle, we have:

[tex]\angle E + \angle F + \angle G = 180^o[/tex] --- angles in a triangle

Substitute [tex]\angle F = 90^o[/tex]

[tex]\angle E + 90^o + \angle G = 180^o[/tex]

Collect like terms

[tex]\angle E + \angle G = 180^o -90^o[/tex]

[tex]\angle E + \angle G =90^o[/tex]

This implies that E and G are complementary angles.

For complementary angles, E and G;

[tex]\sin E = \cos G[/tex] and [tex]\sin G = \cos E[/tex]

Hence, (4) is true

Answer:

A. 15.31

I did the standard deviation calculator and this is what I got

Answer:

a) 120 possible experimental runs

b) 8 possible experimental runs

c) 0

Step-by-step explanation:

a. For the experiment, there are 6 different temperatures (T), 5 different pressures (P), and 4 different catalysts (C). We can find the total number of combinations using the product rule.

N = T × P × C

N = 6 × 5 × 4 = 120

b) If we use only the lowest temperature, we have T = 1, and if we use the two lowest pressures, we have P = 2. We can find the total number of combinations using the product rule.

N = T × P × C

N = 1 × 2 × 4 = 8

c) If we perform 5 experimental runs with 4 possible catalysts, it is not possible to use a different catalyst each time. At least, 1 catalyst must be repeated twice. Then, the event "a different catalyst is used on each run" has a probability of 0.

Answer:

the answer is C

Step-by-step explanation:

Which type of triangle, if any, can be formed with sides measuring 8 inches, 8 inches, and 3

inches?

A. a scalene triangle

B. an equilateral triangle

C. an isosceles triangle

D. no triangle

Answer:

I'm sorry hindi ko po alam eh

Answer:

A. x > -4

Step-by-step explanation:

< less than

>greater than

the unknown number x is greater than -4

{9, 8, 7, ...} the number is counting down. So the next number is 6.

is 6 greater than -4

or less than -4

therefore

x(which is 6) is greater than -4

x > -4

Answer:

c

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

because 16 decided by 0.2 is 80

hope this helps!!!!

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{If x = -2, then substitute it into the given equation}[/tex].

[tex]\large\textsf{f(x) = 4(-2) - 2}[/tex]

[tex]\large\textsf{y = 4(-2) - 2}[/tex]

[tex]\large\textsf{4(-2) = \boxed{\bf -8}}[/tex]

[tex]\large\textsf{y = -8 - 2}[/tex]

[tex]\large\textsf{-8 - 2 = \boxed{\bf -10}}[/tex]

[tex]\boxed{{\large\text{y = \bf -10}}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \textsf{\huge \bf y = -10}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]\quad\quad\quad\quad \tt{f(x) = 4x - 2}[/tex]

[tex]\quad\quad\quad\quad \tt{f( - 2) = 4( - 2)- 2}[/tex]

[tex]\quad\quad\quad\quad \tt{f( - 2) = ( - 8)- 2}[/tex]

[tex]\quad\quad\quad\quad \tt{f( - 2) = - 10}[/tex]

[tex]\quad\quad\quad\quad\boxed {\tt{\color{green}f( - 2) = - 10}}[/tex]

__________

#LetsStudy

Answer:

A vertical line through the origin

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

3/12 reduces to 1/4.

1/2 alone is greater than 1/4, so when 2/10 is added to 1/2, it is certainly greater than 3/12.

Answer: B.

Step-by-step explanation:

It will take 42.35 minutes to weed the garden together.

Why?

To solve the problem, we need to use the given information about the rate for both Laura and her husband. We know that she can weed the garden in 1 hour and 20 minutes (80 minutes) and her husband can weed it in 1 hour and 30 minutes (90 minutes), so we need to combine both's work and calculate how much time it will take to weed the garden together.

So, calculating we have:

Laura's rate:

\frac{1garden}{80minutes}

80minutes

1garden

Husband's rate:

\frac{1garden}{90minutes}

90minutes

1garden

Now, writing the equation we have:

Laura'sRate+Husband'sRate=CombinedRateLaura

′

sRate+Husband

′

sRate=CombinedRate

\frac{1}{80}+\frac{1}{90}=\frac{1}{time}

80

1

+

90

1

=

time

1

\frac{1*90+1*80}{7200}=\frac{1}{time}

7200

1∗90+1∗80

=

time

1

\frac{170}{7200}=\frac{1}{time}

7200

170

=

time

1

\frac{17}{720}=\frac{11}{time}

720

17

=

time

11

\frac{17}{720}=\frac{1}{time}

720

17

=

time

1

\frac{17}{720}*time=1

720

17

∗time=1

time=1*\frac{720}{17}=42.35time=1∗

17

720

=42.35

Hence, we have that it will take 42.35 minutes to weed the garden working together.

Answer:

perimeter = 25.62 units

Step-by-step explanation:

Let the quadrilateral be ABCD

A = (1, 5), B = (6, 5), C= (1, 11) , D = (6, 11)

To find the perimeter we need to add the lengths of sides AB , BC, CD, and AD.

Lets find the length of all sides using distance formula;

[tex]distance = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]AB = \sqrt{(1-6)^2+(5-5)^2} = \sqrt{25} = 5units\\\\BC= \sqrt{(6-1)^2+(5-11)^2} = \sqrt{25+36} =\sqrt{61} units\\\\CD=\sqrt{(1-6)^2 + (11-11)^2} = \sqrt{25} = 5units\\\\AD = \sqrt{(1-6)^2+(5-11)^2} = \sqrt{25+36} = \sqrt{61}units[/tex]

Perimeter = AB + BC + CD + AD

               [tex]=10 + 2\sqrt{61} units[/tex] = 25.62 units

Answer:

3/2

Step-by-step explanation:

(y-y)/(x-x)=-1+7/2+2=6/4=3/2

Answer:

Slope = 1.5

Step-by-step explanation:

m = (y₂ -y₁) / (x₂-x₁)

m = (-1+7) / (2+2)

m = 1.5

Answer:

48 people.

Step-by-step explanation:

Each person gets 1/4 of a pizza meaning that one pizza can serve 4 people. If one pizza can serve 4 people, 12 pizzas can serve 48 people, because 4x12=48.

Answer:

Max (-7/2, 97/4)

Domain: all real numbers

Range: (negative infinity, 97/4)

Step-by-step explanation:

Im assuming this is a quadratic equation y = -x^2-7x+12

The max/min are the vertex (-b/2a)

Answer:

48

Step-by-step explanation: 1 foot is 12 inches. Since the feet are going up by ones, you can say 1=12, 2=24 (+12), 3=36(+12), 4=48(+12)

Hope this helps

Answer and Step-by-step explanation:

The answer is 48.

Each value of y is a multiple of 12, so for when there is 4 feet, you multiply 12 by 4 to get 48.

For when it is 1 foot, you multiply 12 by 1 to get 12.

For when it is 2 feet, you multiply 12 by 2 to get 24.

For when it is 3 feet, you multiply 12 by 3 to get 36

For when it is 5 feet, you multiply 12 by 5 to get 60.

If you were to continue, the y-values (aka the inches) will always be a multiple of 12.

#teamtrees #PAW (Plant And Water)

Answer:

( − 5 ) ( 3 + 1 )

Step-by-step explanation:

Use the sum-product pattern: 3 2 − 1 4 − 5

3 2 + − 1 5 − 5

Common factor from the two pairs: 3 2 + − 1 5 − 5

( 3 + 1 ) − 5 ( 3 + 1 )

Rewrite in factored form

Answer:

Step-by-step explanation:

Standard form:

3x2 − 14x − 5 = 0

Factorization:

(x − 5)(3x + 1) = 0

Solutions based on factorization:

x − 5 = 0   ⇒   x1 = 5

3x + 1 = 0   ⇒   x2 = −1

3

≈ −0.333333

Extrema:

Min = (2.333333, −21.333333)

Answer:

(3 x + 1 ) ( x − 5 )