The data below are the test scores of the students in a math class.
97, 76, 84, 82, 90, 95, 77, 79, 80, 82, 84, 77, 100, 78, 87
Create a stem-and-leaf plot to represent the data.

how???​

if the degrees in this triangle are truly 90-45-45, then the two unknown lengths are the same

and the pythagorean theorem holds anyways: a² + b² = c², where c is the longest side in a right triangle.

c is 16, so 16² is 256

2* a² = 256

I wrote 2 times s because a and b are of same length

devide each side by 2

a² = 128

take the root

a and b are:

[tex] \sqrt{128} = 11.31378499[/tex]

Answer:

570 feet

2*200 + 2*85

400 + 170

570

Step-by-step explanation:

Answer:

D. 14, 16, 18, 20

Step-by-step explanation:

it's adding by 2 each time

Answer:

the answer is d my guy :)

Step-by-step explanation:

Answer:

[tex]x=3\\[/tex]

Step-by-step explanation:

Note that because BD is an angle bisector, then angle XBD and angle DXY are equal. Also note that BYD and BXD are equal because they are both right angles. Also, by the transaitive property, BD = BD. Therefore, it can be concluded that BXD is congruent to BYD.

Therefore, we must solve [tex]5x+4=19 \Longrightarrow 5x = 15 \Longrightarrow x=3[/tex].

Answer:

8 1/2

Step-by-step explanation:

Take the decimal portion

.5

This is 5 tenths

write 5/10

Simplify

1/2

Bring the whole number back

8 1/2

Answer:

8 1/2

Step-by-step explanation:

Given:

Mr. Sun borrowed $15,600 for 54 months at simple interest.

Mr. Sun paid the bank a total of $21,567.00.

To find:

The rate of simple interest.

Solution:

We know that,

12 months = 1 year

1 month = [tex]\dfrac{1}{12}[/tex] year

54 months = [tex]\dfrac{54}{12}[/tex] year

54 months = 4.5 years

Simple interest is:

[tex]S.I.=Amount-Principal[/tex]

[tex]S.I.=21567-15600[/tex]

[tex]S.I.=5967[/tex]

Formula for simple interest is:

[tex]S.I.=\dfrac{P\times r\times t}{100}[/tex]

Where, P is principal, r is the rate of interest in percent and t is the number of years.

Putting [tex]S.I=5967,P=15600,t=4.5[/tex], we get

[tex]5967=\dfrac{15600\times r\times 4.5}{100}[/tex]

[tex]596700=70200r[/tex]

[tex]\dfrac{596700}{70200}=r[/tex]

[tex]8.5=r[/tex]

Therefore, the rate of simple interest is 8.5%.

Answer:

x = 2sqrt(2)

y = 2sqrt(6)

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1 : sqrt(3) : 2

x = 0.5 * 4 sqrt(2) = 2sqrt(2)

y = x * sqrt(3) = 2sqrt(6)

Notice that the prime factorization of [tex]20^{20}[/tex] and [tex]10^{10}[/tex] are [tex]2^{40}\cdot5^{20}[/tex] and [tex]2^{10}\cdot5^{10}[/tex], respectively. also, notice that both of their prime factorizations contain only 2 and 5.

Let the divisor of 20^20 that is a multiple of 10^10 be:

[tex]2^y\cdot5^x\cdot2^{10}\cdot5^{10}\\=2^{10+y}\cdot5^{10+x}[/tex]

where y and x are positive integers.

We can have y equal to 0, 1, 2, ... 30 before the exponent of 2 exceeds 40, and we can have x equal to 0, 1, 2, ... 10 before the exponent of 5 exceeds 20.

That is 11*31= 341 numbers in total.

There are (40+1)(20+1)=861 factors in 20^20, which means that the final answer is:

[tex]\boxed{\frac{341}{861}}[/tex]

also are you, by any chance, the same guest who posted the same question in web2.0?

Answer:

The observation I can make for the values of pi for circles A and B is that the value of pi remains the same whether we find pi using the circumference of the circle or the Area of the circle, the value of pi remains the same for both circles.

Pi = π = 3.14

Step-by-step explanation:

Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)

The formula for the circumference of circle when Diameter is given = πD

π = Circumference / Diameter

For Circle A :

Circle A has a diameter of 7 inches, a circumference of 21.98 inches.

π = 21.98 inches/7 inches

π = 3.14

For Circle B

The diameter of circle B is 6 inches, the circumference is 18.84 inches

π = 18.84 inches/6 inches

π = 3.14

Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)

The formula for the area of the circle = πr²

Circle A has a diameter of 7 inches, an area of 38.465 square inches.

r = Radius = 7 inches ÷ 2

= 3.5 inches

π = Area / Radius²

π = 38.465 in²/(3.5 inches)²

π = 3.14

For Circle B

The diameter of circle B is 6 inches, and the area is 28.26 square inches.

r = Radius = 6 inches ÷ 2

= 3 inches

π = Area / Radius²

π = 28.26 in²/(3 inches)²

π = 3.14

Part C: What observation can you make about the value of pi for circles A and B? (2 points)

The observation I can make for the values of pi for circles A and B is that the value of pi remains the same whether we find pi using the circumference of the circle or the Area of the circle, the value of pi remains the same for both circles.

The observation is that the values of [tex]\pi[/tex] remain 3.14 when [tex]\pi[/tex] is calculated from the areas and circumferences of both circles

The given parameters are:

Circle A

Circle B

The circumference of a circle is:

[tex]C= \pi d[/tex]

Make [tex]\pi[/tex] the subject

[tex]\pi = \frac{C}{d}[/tex]

For circle A, we have:

[tex]\pi_A = \frac{21.98}{7}[/tex]

[tex]\pi_A = 3.14[/tex]

For circle B, we have:

[tex]\pi_B = \frac{18.84}{6}[/tex]

[tex]\pi_B = 3.14[/tex]

Hence, the value of [tex]\pi[/tex] in both circles is 3.14

The given parameters are:

Circle A

Circle B

The area of a circle is:

[tex]A= \pi \frac{d^2}{4}[/tex]

Make [tex]\pi[/tex] the subject

[tex]\pi = \frac{4A}{d^2}[/tex]

For circle A, we have:

[tex]\pi_A = \frac{4 * 38.465 }{7^2}[/tex]

[tex]\pi_A = 3.14[/tex]

For circle B, we have:

[tex]\pi_B = \frac{4 * 28.26 }{6^2}[/tex]

[tex]\pi_B = 3.14[/tex]

Hence, the value of [tex]\pi[/tex] in both circles is 3.14

The observation is that the values of [tex]\pi[/tex] in both circles when area and circumference are used is 3.14

Read more about area and circumference at:

https://brainly.com/question/15673093

Answer:

-30z^8

Step-by-step explanation:

[tex]2 {z}^{8} - 32 {z }^{8} \\ = - 30 {z}^{8} [/tex]

Answer:

-30z^8

Step-by-step explanation:

2z^8- 32z^8

-30z^8

9514 1404 393

Answer:

  180 km

Step-by-step explanation:

The Nissan had traveled (120 km/h)(1/3 h) = 40 km when it had the puncture. It started from that location when the puncture was repaired at t = (1/3+1/2) = 5/6, where t is in hours. Then the two vehicles met (again) when ...

  Matatu distance = Nissan distance

  90t = 40+120(t -5/6)

  0 = 40 +30t -100 . . . . . . subtract 90t, eliminate parentheses

  60 = 30t . . . . . . . . . . . add 60

  2 = t . . . . . . . . . . . . . 2 hours after leaving, the cars meet again

That distance from town A is ...

  y = 90t = 90(2) = 180 . . . . km

Answer:

smaller figure/larger figure = 3/12 = ¼

Step-by-step explanation:

Scale factor = Smaller figure side length / corresponding side length of the larger figure.

Length of a side of the smaller figure = 3

Corresponding Length of a side of the larger figure = 12

Scale factor = smaller figure/larger figure = 3/12 = 1/4

Answer: X = 114

Step-by-step explanation: this is because vertical angles are equal to each other.

Answer:

1 : 2 : 1

Step-by-step explanation:

2:4:2

Divide each  term by 2

2/2:4/2:2/2

1 : 2 : 1

Answer:

108°

Step-by-step explanation:

The sum of angles on a straight line is 180°

Therefore:

x + 72° = 180°

x = 180° - 72°

x = 108°

Therefore, the value of x is 108°

Answer:

In a dot plot, we have a horizontal axis that represents the different events, and for each time that one of these events happened, we mark a dot on top of the individual event.

In this case, each event is the inches of weekly rainfall.

The data that we have is:

5, 3, 5, 4, 3, 3, 2, 3, 2, 5

For example, we can see that the event "5" (which means a rainfall of 5 inches) appears 3 times, so we would put 3 dots on top of the event "5"

Reordering these, we have:

{2, 2, 3, 3, 3, 3, 4, 5, 5, 5}

So:

for 2 inches we would have 2 dots.

for 3 inches we would have 4 dots

for 4 inches we would have 1 dot

for 5 inches we would have 3 dots.

Then the graph will be something like the graph below:

Answer:

In the photo

Step-by-step explanation:

Edmentum

Answer:

5/12

Step-by-step explanation:

it says in the question that 1/4 +1/3 is used so in order to make it simple we have to find the common denominator that is 12. so converting 1/4 is 3/12 and 1/3 is 4/12.so u add the numerator and u get 7 over 12 .so now the whole container of peanuts is 12/12 but 7/12 is used so 12-7= 5. so ur ans is 5/12

Answer:

The mother will donate $5

Answer:

3 sqrt(5) meters

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem.

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

3^2+6^2 = c^2

9+36 = c^2

45 = c^2

Taking the square root

sqrt(45) = sqrt(c^2)

sqrt(9*5) = c

sqrt(9) sqrt(5) =c

3sqrt(5) = c

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

Ross walked 3 m east and 6 m north.

so her path is a right angle triangle path.

we know that,

in a right angle triangle, According to the Pythagorean theorom,

[tex]\boxed{\sf{l^2+b^2=h^2 }}[/tex]

where

he is [tex]\sf{3\sqrt{5} }[/tex] far from the starting point

Answer:

nhgfdsazxcvb

Step-by-step explanation:

hfdcvbn

Answer:

B

Step-by-step explanation:

In fact

for 5 pounds the cost will be 7.50

for 6 pounds 9

for 7 pounds 10.50

for 8 pounds 12

Answer:

36

Step-by-step explanation:

Since this is a right triangle we can use trig functions

cos theta = adj side / hyp

cos ? = 26/32

Taking the inverse cos of each side

cos^-1(cos ?) = cos^-1( 26/32)

? = 35.65908

To the nearest degree

? = 36

Step-by-step explanation:

Given

The equation is [tex]f(x+8)=f(x)+f(8)[/tex]

Substitute 0 for x

[tex]\Rightarrow f(0+8)=f(0)+f(8)\\\Rightarrow f(0)=f(8)-f(8)\\\Rightarrow f(0)=0[/tex]

Now, substitute [tex]-8[/tex] for [tex]x[/tex]

[tex]\Rightarrow f(-8+8)=f(-8)+f(8)\\\Rightarrow f(0)=f(-8)+f(8)\\\Rightarrow 0=f(-8)+f(8)\\\Rightarrow f(-8)=-f(8)[/tex]

Hence proved

Answer:

The answer is A.

Go to desmos and type your equation in

Answer:

-1/8

Step-by-step explanation:

Apply exponent rule ^a^-b = 1/a^B

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

[tex]\large\textsf{2}\mathsf{^{-3}}\\\\\\\mathsf{= \dfrac{1}{-2\times-2\times-2}}\\\\\\\mathsf{-2\times-2\times-2 =\bf (-2)^{3}}\\\\\mathsf{(-2)^3}\\\mathsf{= -2\times-2\times-2}\\\mathsf{= 4\times-2}\\\mathsf{\mathsf{= \bf -8}}\\\\\\\mathsf{= -2^{-3} \rightarrow\boxed{\bf -\dfrac{1}{8}}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: Option D. }\mathsf{\bf - \dfrac{1}{8}}}}\huge\checkmark[/tex]

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

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

Answer:

I don`t see the attachment

Step-by-step explanation:

Answer:

X= 40

Step-by-step explanation:

2(110 + 4x) = 220 + 8x = 540

8X = 320

X= 40