Solve the following system of equations algebraically:
y = x^2 – 10x + 15
y = 2x – 5

Answer:

The longest side of the cross-section is: [tex]2.4cm[/tex]

Step-by-step explanation:

Given

See attachment for pyramid

Required

The longest side of the cross-section

The base of the pyramid is a rectangle with the following dimension (in terms of length)

[tex]Long = 6cm[/tex]

[tex]Short = 3cm[/tex]

For the cross-section, we have:

[tex]Long = x[/tex]

[tex]Short =1.2cm[/tex]

Since both are parallel, then the following relationship exist between both

[tex]Ratio = Long : Short[/tex]

So, we have:

[tex]6cm : 3cm = x: 1.2cm[/tex]

Express as fraction

[tex]\frac{6cm }{ 3cm }= \frac{x}{1.2cm}[/tex]

[tex]2= \frac{x}{1.2cm}[/tex]

Make x the subject

[tex]x = 2 * 1.2cm[/tex]

[tex]x = 2.4cm[/tex]

Answer:

D

Step-by-step explanation:

every time the mile increases he burns more calories you can see that when you look at it closely

Answer:

7,000 LBs

Step-by-step explanation:

1 ton is 2,000, half of a ton is 1,000

Answer:

7000 lbs

Step-by-step explanation:

The formula for tons to pounds is to multiply the value by 2000

Answer:

2,4

Step-by-step explanation:

Answer:

i have that same question too i still don't the answer.

Step-by-step explanation:

Answer:

yo need more photos

Step-by-step explanation:

Answer:

C.  no solutions

Step-by-step explanation:

Both equations have a slope of -2, but have different y-intercepts.  Therefore, the graphs of the equations are parallel, but don't coincide, nor do they intersect.  So, there are no solutions

Answer:

[tex]LA=336~cm^2[/tex]

[tex]A=556 ~cm^2[/tex]

Step-by-step explanation:

[tex]Lateral ~Area[/tex]

[tex]LA=(2*11*8)+(2*10*8)=[/tex]

[tex]LA=336~cm^2[/tex]

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

[tex]Total ~Area[/tex]

[tex]A=LA+A~base[/tex]

[tex]A=336+(2*11*10)[/tex]

[tex]A=556~cm^2[/tex]

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

hope it helps....

have a great day!!

Answer:

Lateral: A= 336 cm^2

Total: A= 556 cm^2.

Answer:

I remember my teacher saying that when you get the answer you have to * when you get the answer

Answer:

Ok the area of the first circle is 154m Rounded.

The circumference of circle one is 44m Rounded.

Area of the 2nd figure is 2827ft Rounded.

And the circumference of circle 2 is 189ft Rounded.

Step-by-step explanation:

Have a nice day

Answer:

a fraction

Step-by-step explanation:

I hope this helps

Answer:

16/4 fits into a rational number group, real number group and an integer group.

Hope it helps :)

Answer:

175

Step-by-step explanation:

I am assuming that you mean that a and b are both bases of a  right triangle. Please correct me if I am wrong.

14 * 25/2 = 350/2 = 175

The area would then be 175 cm²

Answer:

[tex]\bold{4z+18}[/tex]

Step-by-step explanation:

Hi there!

The Distributive Property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

Now, let's use this property to solve our problem:

[tex]\bold{2(2z+9)}[/tex]

[tex]\bold{4z+18}[/tex]

Hope it helps! Enjoy your day!

~Just a teenage girl willing to help

[tex]\bold{Besties4Ever:-):-)}[/tex]

Hi, let me help you out!

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In order to simplify this, we're going to use a property that's called the Distributive Property:

[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]

Where a, b, and c can be variables, constants, or both (like 4c).

Now let's simplify our expression:

[tex]\longrightarrow\tt{2(2z+9)}[/tex]

Multiply 2 times 2z and 9:

[tex]\longrightarrow\tt{4z+18}[/tex]

Hence, we conclude that the answer is: [tex]\tt{4z+18}[/tex].

I hope this helps you! Have an awesome day.

If you need any explanation or clarification, just let me know! :)

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Answer:

1 1/2

one and one half.

Step-by-step explanation:

Answer:

81/16

Step-by-step explanation:

Answer:

The probability of getting a 1, 2, 3 on three rolls respectively is [tex]\frac{1}{216}[/tex].

Step-by-step explanation:

Since you are rolling three dies, and each die has six sides, that means there are a total of 216 possible outcomes. Out of the 216 different outcomes, only 1 of them meet the requirement of rolling a '1' on the first die, a '2' on the second die, and a '3' on the third die, so the fraction to represent the situation would be [tex]\frac{1}{216}[/tex].

Answer:

z = 20 , x = 5

Step-by-step explanation:

Answer: 24 days

Step-by-step explanation

h every worker, 4 workers will still take 12 days. If the work is to shake every other worker's hand, 4 workers will only take 37 x 12 days.

Answer:

[tex]sin x=-\frac{5}{13}[/tex]

Step-by-step explanation:

From the question we are told that:

Radius [tex]r=13[/tex]

Co-ordinate of x axis at C [tex]x'=12[/tex]

Let

x' represent the x axis

y' represent the y axis

Since the intercept across the radius has values on the x' and y' axis

Therefore

Generally the Trigonometric equation for cos x is mathematically given by

 [tex]cos x=\frac{x'_c}{r}[/tex]

 [tex]cos x=\frac{12}{13}[/tex]

Generally the Trigonometric equation for sin x is mathematically given by

[tex]sin x=\sqrt{1-cos^2x}[/tex]

[tex]sin x=\sqrt{1-(\frac{12}{13})^2}[/tex]

[tex]sin x=\frac{5}{13}[/tex]

Since x is in the IV quadrant sin x is negative

[tex]sin x=-\frac{5}{13}[/tex]

Answer:

42.93

Step-by-step explanation:

54 x 0.25 = 13.50

54 - 13.5 = 40.50

40.5 x 0.06 = 2.43

40.50 + 2.43 = 42.93

Answer:

$42.93 I received 100%

Step-by-step explanation:

Answer:

I think the possible answer is C.12

hope its right but if its wrong please feel free to correct me.

Answer:

1.5

Step-by-step explanation:

base x height x 0.5

Pythagorean theorem: c^2 - a^2 = b^2

b = square root of (2.5)^2 - (1.5)^2

= 2

b = height

area = 0.5 x 1.5 x 2 = 1.5

Answer:

1.5

Step-by-step explanation:

Use the Pythagorean Theorem. A^2 + b^2 = c^2

A and b being the sides and C being the hypotenuse.

2.5^2 - 1.5^2 = 4

Square root of 4 is 2.

Then you use the area of a triangle formula. 1/2 * base * height = Area of a triangle.

1.5 * 2 * 0.5 = 1.5

Answer:

C. 1 1/2

Step-by-step explanation:

6/7 + 4/7 = 10/7 So 1 3/7. closest is 1 1/2

Answer:

64-16pi(not rounded)

64-50.27 = 13.73 (rounded)

Step-by-step explanation:

Square = side^2 - side =8 (4+4)

8*8 = 64

Circle area= pi r^2

16 pi = 50.27

Square-pi*r^2 = answer

64-16pi(not rounded)

64-50.27 = 13.73 (rounded)

Answer:

6.7

Step-by-step explanation:

For this questions we have the oppsotie side and need the adjacent

out of SOH, CAH, TOA we will sue TOA

tan(56)=10/x

tan(56)/10=1/x

10/tan(56)=x

x=6.745 which rounds to 6.7

Answer:

Probability = 1/5 = 20%

Step-by-step explanation:

Prob (1st marble green) = Green Marbles / Total Marbles = 3/6 = 1/2

Pr (2nd marble red), without replacement = Red Marbles / Left Total Marbles = 2/5

Prob (1st marble green, & 2nd marble red) = 1/2 x 2/5 = 1/5

Prob in percent = 1/5 x 100 = 20%

the awnser is 799 by 983

Step-by-step explanation:

Answer:

x = 45

Step-by-step explanation:

2x - 56 = 34

2x = 34 + 56

2x = 90

x = 45

Answer:

x = 45

Step-by-step explanation:

2x-56=34 add 56 to both sides

2x = 90 divide both sides by 2

x = 45

Answer:

it is linear association

Step-by-step explanation: