RS = 3y + 3, ST = 2y + 7, and RT=-10y-10

B

Step-by-step explanation:

AM on total = 1/2

so (x+19)/(x+29)=1/2

2x +38 =x + 29

x=-9

Answer:

About 76.5 ft.

Step-by-step explanation:

Draw a diagram of a right triangle.  The shorter leg represents the height of the main entrance of the library, which is 8 ft.  The longer leg won't matter in this case.  The hypotenuse is what we're trying to find, so mark it as x.  We know there's a 6° angle of elevation, so the 30° angle of the triangle will be 6° in this case.  Now we have to use trig.  Think of Soh Cah Toa.  The 6° is opposite from 8 and the hypotenuse is x.  So, the equation to find x would be:

sin (6°) = 8/x

Multiply both sides by x

sin (6°) * x = 8

Divide both sides by sin (6°)

x = 8/sin (6°)

When putting it into a calculator, your answer should be 76.534, which rounds to 76.5 ft.

Answer:

2:1.

Step-by-step explanation:

The area of a red  curved surface = 2πr^2.

The area of the yellow flat surface = πr^2.

This is the case for all the hemispheres.

Therefore the  required  ratio =  2πr^2 :  πr^2

= 2:1.

Answer:

C.I=P(1+r/100)^n-1

1881=p(109/100)^2-1

1881=p(11881-10000/10000)

1881=p×1881/10000

1881/1881×10000=p

P=10,000

Answer:

Step-by-step explanation:

Mean = Sum of data ÷ number of data set

         [tex]=\dfrac{9+3+15+7+2+4+3}{7}\\\\=\dfrac{43}{7}\\\\= 6.14\\\\= 6.1[/tex]

Median:

Arrange the data in ascending order:

2 , 3 , 3 , 4 , 7 , 9 , 15

Middle term is the median of the data set

Median  = 4th term = 4

Mode:

Mode is the data whose is frequency is more.

So, mode = 3

Range = Maximum - minimum

           = 15 - 2

           = 13

Answer:

0.16666666666

Step-by-step explanation:

Answer:

If he can spend $400 +- $50 ($350 or $450) the maximum number of guests at $25 each is 18 and the minimum is 14. If there can be up to 7 guests, he should prepare to have at least 3 tables to ensure everyone gets a seat if he goes with the $450 option.

Step-by-step explanation:

Please mark Brainliest if this helped :)

Division is one of the four fundamental arithmetic operations. The minimum number of tables Ashton should reserve so everyone has a seat is 2.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Ashton's budget is $400±50. Therefore, the maximum and the minimum budget that Ashton can spend on the banquet are,

Maximum budget = $400 + $50 = $450

Minimum budget = $400 - $50 = $350

A.) Now, the maximum guest will cost the maximum budget, therefore, we can write

Maximum guest = Maximum budget / Budget per guest

                           = $450 / $25

                           = 18

Minimum guest = Minimum budget / Budget per guest

                           = $350 / $25

                           = 14

B.) Since the minimum number of guests that can come to the banquet is 14, and only 7 people can seat at a table, therefore, the minimum number of tables Ashton should reserve so everyone has a seat is 2.

Learn more about Division here:

https://brainly.com/question/369266

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Hi ;-)

[tex]-\frac{1}{3}-(-\frac{1}{2})=-\frac{1}{3}+\frac{1}{2}=-\frac{2}{6}+\frac{3}{6}=\frac{3}{6}-\frac{2}{6}=\frac{1}{6}\\\\3\frac{1}{3}-5=-(5-3\frac{1}{3})=-(4\frac{3}{3}-3\frac{1}{3})=-1\frac{2}{3}\\\\-1\frac{4}{5}-(-2\frac{7}{8})=-1\frac{4}{5}+2\frac{7}{8}=-1\frac{32}{40}+2\frac{35}{40}=2\frac{35}{40}-1\frac{32}{40}=1\frac{3}{40}\\\\-3\frac{3}{8}-\frac{7}{8}=-(3\frac{3}{8}+\frac{7}{8})=-3\frac{10}{8}=-3\frac{5}{4}=-4\frac{1}{4}\\\\4\frac{3}{4}-(-1\frac{1}{12})=4\frac{9}{12}+1\frac{1}{12}=5\frac{10}{12}[/tex]

Answer:

60

12 inches=1 foot so 12 ×5=60

Answer:

60

Step-by-step explanation:

lol

Answer:

Amelia drove 90 miles in 3 hours.

Step-by-step explanation:

she drove 10 miles in 20 minutes

we multiply this by 3, and get

30 miles in an hour ( 60 minutes)

then we multiply this by 3 and get

90 miles in 4 hours (180 minutes) :)

Answer:

please help me my friend

Answer:

2nd option

Step-by-step explanation:

Given

c = 8πab ( isolate a by dividing both sides by 8πb

[tex]\frac{c}{8\pi b}[/tex] = a

Answer:

The GCF is going to be 2

Step-by-step explanation:

This Is how I find the GCF of 3 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 8, 2 × 2 × 2 = 8

The prime factorization of 18, 2 × 3 × 3 = 18

The prime factorization of 70, 2 × 5 × 7 = 70

The one and THE only common factor is 2, which is going to be the GCF

Answer:

(5;3)

Step-by-step explanation:

Give your answer both.

The distance between the points (5, 0) and (0, 3) is approximately 5.83095 units.

To find the distance between two points, we can use the distance formula:

Distance = √[tex]((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]

Given the points (5, 0) and (0, 3), we have:

[tex]x_1 = 5, y_1 = 0\\\\x_2 = 0, y_2 = 3[/tex]

Substituting these values into the formula:

Distance = √[tex]((0 - 5)^2 + (3 - 0)^2)[/tex]

Distance = √[tex]((-5)^2 + (3)^2)[/tex]

Distance = √(25 + 9)

Distance = √34

The exact distance between the points is √34, which is approximately 5.83095 when rounded to five decimal places.

So, the distance between the points is approximately 5.83095 units.

To know more about distance, refer here:

https://brainly.com/question/24485622

#SPJ3

Assuming 5476 is given in base 10.

We have

5476 = 2×2401 + 674 = 2×7⁴ + 674

674 = 1×343 + 331 = 1×7³ + 331

331 = 6×49 + 37 = 6×7² + 37

37 = 5×7 + 2 = 5×7¹ + 2

2 = 2×1 = 2×7⁰

so that

5476₁₀ = 21652₇

Answer:

y is larger.

Step-by-step explanation:

Along the same vertical line, 2 points have the same x value. So x=2 and y=4.

There are many examples you could go with, but one is "If a shape is a square, then it is always a rectangle".

The converse has us flip the statement into "If a shape is a rectangle, then it is always a square" which is not true. Some rectangles aren't squares.

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

Another example could be "If it is a dog, then it is an animal" which is always true. The flip of it is "If it's an animal, then its a dog" which is false because the animal could be a cat for instance.

Answer:

[tex]3(y + 2) - 5 = 22 \\ 3(y + 2) = 27 \\ (y + 2) = 9 \\ y = 9 - 2 \\ y = 7[/tex]

Answer: 7

Step-by-step explanation:

3y+6-5=22

3y+1=22

3y=22-1

y=21/3

y=7

Answer:

3+ x • {2x} + 5 = 858

Step-by-step explanation:

<33 hoped this helped !!!

Answer:

-16

Step-by-step explanation:

-k² -(3k-5n)+4n k=-1 , n= -2

= -(-1)² - ( 3(-1) -5(-2) )+4(-2)

= -1-(-3+10)-8

= -1-(7)-8

= -1-7-8

= -16

Step-by-step explanation:

If two lines, segments, or rays intersect at right angles, then they are perpendicular. If two angles are complementary, then their measures add up to 90 degrees. If two angles' measures add up to 90 degrees, then they are complementary. If two angles are supplementary, then their measures add up to 180 degrees.

Answer:

The proof of Pythagorean Theorem in mathematics is very important. In a right angle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. States that in a right triangle that, the square of a (a²) plus the square of b (b²) is equal to the square of c (c²).

Answer:

f(5) = 22

Step-by-step explanation:

Substitute x = 5 into f(x) for image , that is

f(5) = 3(5) + 7 = 15 + 7 = 22

Answer:

see image

Step-by-step explanation:

Answer:

"How many times does 81 divide into 547?"

Answer:

1

Step-by-step explanation:

The second power and square root cancel each other (second power means squared by the way)

Answer:

Step-by-step explanation:

300÷6x²÷3.14=2.6539278131634819533