One side of a triangle is 7 feet longer than the second side. The third side is 2 feet longer than the second side. The perimeter of a triangle is 42 feet. Find the length of each side.

Answer:

7.5

Step-by-step explanation:

Using pythagoras theorem

Sqrt(9^2-5^2)=7.483

Answer:

8 27/28 or 251/28

Step-by-step explanation:

Find common denominators then simply add.

Answer:

First Question - 74.25

Second Question - 23.92

Hope this helps you out

Answer:

g

Step-by-step explanation:

3x+1<2+4x

-1<x

Answer:

x > -1

Step-by-step explanation:

3x + 1 < 2 + 4x

-x < 1

x > -1

Answer:

1.44

Step-by-step explanation:

1.63-.19= 1.44

Answer:

842 grams

Step-by-step explanation:

[tex]70\frac{1}{6} =\frac{421}{6}[/tex]

[tex]\frac{421}{6} *12\\\\842[/tex]

One cake consists of 421/6 grams of chocolate.

Since Sally wants to give 1 cake to 12 friends, we multiply 421/6 and 12.

To make 12 cakes, she needs 842 grams of chocolate.

Answer:

Step-by-step explanation:

Given ΔRST with:

Solution

We know t is opposite ∠T and r is opposite ∠R.

Use the law of sines to find the missing value of t.

Substitute the known values and solve for t:

Answer:

t = 6

Step-by-step explanation:

In ΔRST:

Sine Rule

[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Given:

Substitute the given values into the Sine Rule formula and solve for t:

[tex]\implies \sf \dfrac{r}{\sin R}=\dfrac{s}{\sin S}=\dfrac{t}{\sin T}[/tex]

[tex]\implies \sf \dfrac{15}{\sin 30^{\circ}}=\dfrac{t}{\frac{1}{5}}[/tex]

[tex]\implies \sf \dfrac{15}{\sin 30^{\circ}}=5t[/tex]

[tex]\implies \sf t=\dfrac{15}{5 \sin 30^{\circ}}[/tex]

[tex]\implies \sf t=\dfrac{15}{5 \cdot \frac{1}{2}}[/tex]

[tex]\implies \sf t=\dfrac{15}{\frac{5}{2}}[/tex]

[tex]\implies \sf t=15 \cdot \dfrac{2}{5}[/tex]

[tex]\implies \sf t=\dfrac{30}{5}[/tex]

[tex]\implies \sf t=6[/tex]

Learn more about the Sine Rule here:

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Answer: 11

Step-by-step explanation:

Given

The second term of an AP is 7

The sixth term of an AP is 23

Suppose a and d be the first term and common difference of the sequence

[tex]\Rightarrow 7=a+d\quad \ldots(i)\\\Rightarrow 23=a+5d\quad \ldots(ii)[/tex]

Subtract the above equations

[tex]\Rightarrow 23-7=5d-d\\\Rightarrow 16=4d\\\Rightarrow d=4[/tex]

Put d in equation (i)

[tex]\Rightarrow 7=a+4\\\Rightarrow a=3[/tex]

So, the third term of the AP is [tex]a+2d[/tex]

[tex]\Rightarrow 3+2\times 4=11[/tex]

Answer:

50

Step-by-step explanation:

Angle 95 and ( 2x - 5 ) are alternate interior angles.

Alternate interior angles are equal.

2x - 5 = 95

2x = 95 + 5

2x = 100

x = 100 / 2

x = 50

Answer:

There are 25 possible schedules.

Step-by-step explanation:

The order in which they play soccer is not important(Monday and Tuesday is the same as Tuesday and Monday), and thus the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Monday but not Tuesday:

Monday(1) and 2 out of the remaining 7 - 2 = 5. So

[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]

Tuesday but not Monday:

Tuesday(1) and 2 out of the remaining 7 - 2 = 5. So

[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]

Monday and Tuesday:

Monday and Tuesday(1), plus one out of the remaing 5 days. So

[tex]C_{5,1} = \frac{5!}{1!4!} = 5[/tex]

Total:

10 + 10 + 5 = 25

There are 25 possible schedules.

Answer: B (−5 < x < 3)

Steps

−19 < 3x − 4 < 5

−19 < 3x − 4 and 3x − 4 < 5

x > −5 and x < 3

−5 < x < 3

Number Line

−19 < 3x − 4 < 5 : Solution: − 5 < x < 3

[ Interval Notation: (−5, 3)]

If a < u < b then a < u and u < b

−19 < 3x − 4 : x > −5

3x − 4 < 5 : x < 3

Combine the intervals

Merge Overlapping Intervals

And that equals=

−5 < x < 3

Answer:

56          42               98

3             7                 10

59           49              108

Step-by-step explanation:

108 people responded to the survey

Answer:

The mean score would decrease more than the median score

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Ben uses clay to make the rectangular prism to the left. Naomi uses cardboard to make the triangular prism to the right. Therefore, Naomi's prism has a greater volume.

The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.

Volume of rectangular prism = (length x width x height)

Ben uses clay to make the rectangular prism to the left.

Volume of rectangular prism = (length x width x height)

= 11 x 5 x 2

= 110 cubic in

Naomi uses cardboard to make the triangular prism to the right.

The volume of a right triangular prism = ( height× Base Area)

= 4 x 18 x 4

= 288 cubic in

Therefore, Naomi's prism has a greater volume.

Learn more about rectangular prism;

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#SPJ2

Answer:

and do you know the answer to this one

Yes, 13 is the remainder.

See dat pic for full solution.

Answer:

4 is next in NUMBER OF DAYS

9 is the first in NUMBER OF TADPOLES

41 is the 2nd answer ON NUMBER OF TADPOLES

Step-by-step explanation:

hope this helps a lot!!

Answer:

1?

Step-by-step explanation:

im not sure im prolly wrong and not fast enough

Given:

The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).

To find:

The equation of the quadratic function.

Solution:

A quadratic function is defined as:

[tex]y=ax^2+bx+c[/tex]            ...(i)

It is passes through the point (0,11). So, substitute [tex]x=0,y=11[/tex] in (i).

[tex]11=a(0)^2+b(0)+c[/tex]

[tex]11=c[/tex]

Putting [tex]c=11[/tex] in (i), we get

[tex]y=ax^2+bx+11[/tex]               ...(ii)

The quadratic function passes through the point (5,31). So, substitute [tex]x=5,y=31[/tex] in (ii).

[tex]31=a(5)^2+b(5)+11[/tex]

[tex]31-11=a(25)+5b[/tex]

[tex]20=25a+5b[/tex]

Divide both sides by 5.

[tex]4=5a+b[/tex]                  ...(iii)

The quadratic function passes through the point (3,11). So, substitute [tex]x=3,y=11[/tex] in (ii).

[tex]11=a(3)^2+b(3)+11[/tex]

[tex]11-11=a(9)+3b[/tex]

[tex]0=9a+3b[/tex]

Divide both sides by 3.

[tex]0=3a+b[/tex]                 ...(iv)

Subtracting (iv) from (iii), we get

[tex]4-0=5a+b-3a-b[/tex]

[tex]4=2a[/tex]

[tex]\dfrac{4}{2}=a[/tex]

[tex]2=a[/tex]

Putting [tex]a=2[/tex] in (iv), we get

[tex]0=3(2)+b[/tex]

[tex]0=6+b[/tex]

[tex]-6=b[/tex]

Putting [tex]a=2,b=-6[/tex] in (ii), we get

[tex]y=(2)x^2+(-6)x+11[/tex]

[tex]y=2x^2-6x+11[/tex]

Therefore, the required quadratic equation is [tex]y=2x^2-6x+11[/tex].

Answer:

0.2

Step-by-step explanation:

1/10 = 0.1

10/100 = 0.1

0.1+0.1 = 0.2

Answer:

proportion

Step-by-step explanation:

Step-by-step explanation:

SA= 2(5×11)+(5×12)+(11×12)

SA= 2(55+60+132)

SA= 2(247)

SA= 494cm^2

Answer:

p=8+x

Step-by-step explanation:

Answer:

6.89

Step-by-step explanation:

Add 6.89 and 14.52 together. Subtract 14.52 from that. You should get 6.89. Hope this helps.

9514 1404 393

Answer:

  (c)  Not parallel: corresponding angles are not congruent

Step-by-step explanation:

The two angles shows are both "east" of the respective points of intersection, so are "corresponding" angles. If (and only if) lines r and s are parallel, corresponding angles are congruent. These angles have different measures, so lines r and s are not parallel.

Answer:

the answer is B.450 +15x

Answer:

B

Step-by-step explanation:

Answer:

Median

Step-by-step explanation:

You want to use median because it is the most accurate when there is an outlier in the data (the 40 on the test)