In a square of side length s, what is the length of a diagonal?

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

[tex]\large\textsf{b - 6a}\\\large\textsf{= \boxed{\textsf{44}} - 6\boxed{\textsf{(3)}}}\\\large\textsf{= 44 - 18}\\\large\textsf{= 26}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\textsf{26}}}}\huge\checkmark\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

3.  SA =  876 [tex]in^{2}[/tex]

4.  SA =  161 [tex]ft^{2}[/tex]

Step-by-step explanation:

       Number 3.

To find the total Surface Area, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

       To find side lengths:

Assuming the back triangle (24, 10 in) is congruent to the front triangle (26in.): First, Knowing the Pythagorean triples or the Pythagorean theorem, we can conclude that the short bottom leg in the triangle on the right (6, 10, x in) is     8 in.                                                                                                               Secondly, to find the leg of the triangle with a hypotenuse of 24 inches, we subtract: 26 - 8 = 18 in.

Now we know all the (needed) side lengths.

       To find the Surface Area:

Total SA  =  (12 x 26) + (12 x 24) + (12 x 10) + 2 x ((6 x 18 x 0.5) + (6 x 8 x 0.5))

               =  312 + 288 + 120 + 2 x (54 + 24)  =  720 + (2 x 78)

               =  876 [tex]in^{2}[/tex]

       Number 4.

Same Idea: To find the Total SA, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

Assuming the back triangle (7ft) is congruent to the front triangle (5x5 ft), then in this case, we already know all the needed side lengths.

       To find the Surface Area:

Total SA  =  2 x (8 x 5) + 2 x (5 x 5 x 0.5) + (7 x 8)

               =  80 + 25 + 56

               =  161 [tex]ft^{2}[/tex]

I think it might be  (B) 7

gradient=∆ in y values /∆ in x values

Step-by-step explanation:

pick any two points through which the line is passing through then label the values (any) x¹ and y¹ then x² and y². then subtract y²-y¹/x²-x¹

Answer:

[tex]x = \frac{-8 +\sqrt{190} }{2}[/tex] or x = 5.7840

Step-by-step explanation:

All the angles of a triangle add up to 180°, so we can solve this using the following equation:

180 = (x^2 + 34) + (6x + 4) + (10x + 10)

180 = x^2 + 34 + 6x + 4 + 10x + 10

Now, let's combine like terms:

180 = x^2 + (6x + 10x) + (34 + 4 + 10)

180 = x^2 + 16x + 54

Subtract 180 from both sides:

0 = x^2 + 16x - 126

And solve using the quadratic formula:

[tex]x = \frac{-b +\sqrt{b^{2}-4ac } }{2a}\\x = \frac{-16 +\sqrt{16^{2}-4(1)(-126) } }{2(1)}\\x = \frac{-16 +\sqrt{256+504 } }{2}\\x = \frac{-16 +\sqrt{760} }{2}\\x = \frac{-16 +2\sqrt{190} }{2}\\\\x = \frac{-8 +\sqrt{190} }{2}\\[/tex]

And we can approximate this as a decimal, if needed:

x = 5.7840

Using the normal distribution, there is a 0.9515 = 95.15% probability of a bone density test score greater than −1.66.

The graph is given by option B.

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In the context of this problem, the mean and the standard deviation of the scores are given as follows:

[tex]\mu = 0, \sigma = 1[/tex]

The probability of a bone density test score greater than −1.66 is one subtracted by the p-value of Z when X = -1.66, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (-1.66 - 0)/1

Z = -1.66

Z = -1.66 has a p-value of 0.0485.

1 - 0.0485 = 0.9515, which is the probability.

The graph of the probability is given at the end of the answer, and in the context of this problem, is given by option B.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

To solve this problem you will need this tool, it is the formula of speed :

speed = distance/time

(I suggest you to remember this one for life, it is a really useful one)

Let's check how long that Jackie nice dude will take to finish the race...

Jann avery runs at an average of 6 mph (miles per hour), so we already got the speed for our formula. And she will finish the race in 2.1 hours so we got the time. What do we miss ? The distance.

Let's write what we already know to solve this puzzle :

6 = d / 2.1

Where d is that unknown distance..  So we are in front of an equation here let's solve it :

d / 2.1 = 6

d = 6 * 2.1

d = 12.6 miles

Now that we know that distance, for the race, we can see if that poor Jackie Donofrio has all his chances to catch Jann Avery...

We already know his speed... and since we have the distance, we write :

4 = 12.6 / t

Where t is the unknown time, for Jackie, to finish the same race. Let's solve the equation :

4t = 12.6 (we multiplied t on each side of the equation)

t = 12.6 / 4

t = 3.15

Jackie Donofrio, who runs at 4 miles per hour, will finish the race in 3.15 hours

Good Luck

Answer:

it should be C

Step-by-step explanation:

hope this is helpful

Answer:

-3

Step-by-step explanation:

-3 × 4 = -12

-12 + 10 = -2

Answer:

y = 2.2x - 11

Step-by-step explanation:

Slope: 2.2

y-intercept: 0 - (2.2)(5) = - 11

Answer:

See answer below

Step-by-step explanation:

Finding the measure of each angle.

The sum of the angles in a triangle = 180°

(9x - 8) + (x + 10) + (3x + 2) =  180°

13x + 4 = 180

13x = 180 - 4

13x = 176

x = 176/13

Angle 1 = 9x - 8                     Angle 2 = x + 10                  Angle 3 = 3x +2

             = 9(176/13) - 8                        = 176/13 + 10                        = 3(176/13) + 2

             ≈ 113.8°                                   ≈   23.5°                               ≈ 42.6°

Answer:

what do you mean by x?

Step-by-step explanation:

2500 hot dogs must be sold to  make a profit

If they can sell 5000 hot dogs at $4 per dog, the selling price for the 5000dogs will be expressed as:

SP= 4 * 5000

SP = 4 + 0.25x

Total number hot dog sold = 5000 - 200x

Revenue = Sales price*Total number hot dog sold

When the price is increased by $0.25 then the revenue will be expressed as [tex]g(x) = (4+0.25x) (5000 - 200x)[/tex]

Taking the product, the resulting function will be;

[tex]g(x) = -50x^2 + 1250x + 20000[/tex]

To get the maximum profit, we need to maximize the revenue by differentiating the function and equating it to zero to have:

[tex]g'(x) = -100x + 450\\0=-100x + 1250\\100x = 1250\\x = 12.5[/tex]

Substittute x = 12.5 into the total number hot dog sold function

Recall that n = 5000 - 200x

n = 5000 - 200(12.5)

n = 5000 -  2500

n = 2500

Hence 2500 hot dogs must be sold to  make a profit

Learn more here: https://brainly.com/question/19594550

Answer:

A and B

Step-by-step explanation:

becuz

Answer:

2.4 cups of flour or 2 2/5 cups of flour

Step-by-step explanation:

(1/3) divided by 5 = 0.06666666666

3 dozen = 36

0.06666666666 x 36 = 2.4

also, did you mean to make 5 dinner rolls?

Answer:

The operational guide of the Saint Vincent and the Grenadines Bureau of Standards (SVGBS) is envisaged in its mission and vision statements.

Step-by-step explanation:

Answer:

y=8.

Step-by-step explanation:

1) if according to the condition slope=0, then the slope-interception form of the required equation is: y=i, where i - interception;

2) if according to the condition the point (4;8) belongs to the required equation, then the required equation is: y=8

78

Step-by-step explanation:

23+28+16+11=78

people who was interested in the restaurant

Answer:

M = -2 1/4

Step-by-step explanation:

You can use the formula y2 - y1 / x2 - x1 to get your answer.

y2 is 18 and y1 is 9. x2 is 6 and x1 is 10 so plugging that into the formula above you will get 18 - 9 / 6 - 10.

18 - 9 is 9 and 6 - 10 is -4

9/-4 = M (M is short for slope)

M = -2 1/4

Hope this worked for you.

Answer:

x=48 because 180-156=24. 108+24=132 180-132=48

(BC + AD) / 2 = 17

(2x + 1 + 3x + 8) / 2 = 17

5x + 9 = 34

5x = 25

x = 5

please branliest if correct

It is 0 (A)

16-4(3+2:2)

16-4(3+1)

16-4 x 4

16-16=0

Answer:

Step-by-step explanation:

Solve for h.

h - 6 =  7

h = 7 + 6

h = 13

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

check

13 - 6 = 7

7 = 7

the answer is good

So, this one is pretty easy. Since h-6=7, you just add 6 and 7 and subtract 6 to find the answer, like this.

6+7=13

13-6=7

and h=13

Easy, huh?

Step-by-step explanation:

x/6=w+5

x=6(w+5)

x=6w+30.

hope this helps you.

The value of x is x = 6w + 30

Data;

This is a mathematical terms used to represent a value from an entire equation.

In the given equation, we are given a value required to make x the subject of formula

Step 1

Add 5 to both sides of the equation

[tex]\frac{x}{6}-5 + 5 = w + 5\\\\\frac{x}{6} = w + 5[/tex]

Step 2

Cross multiply both sides

[tex]\frac{x}{6} = w + 5\\\frac{x}{6} = \frac{w+5}{1} \\x(1) = 6(w+5)\\x = 6(w+5)\\x = 6w + 30[/tex]

From the calculations above, the value of x is x = 6w + 30

Learn more on subject of formula here;

https://brainly.com/question/790938