Ready Mathematics
Unit 6 Unit Assessment
Solve the problems.
1 Look at the triangles.
3 cm
3 cm
3 cm
3 cm
4 cm
7 cm
4 cm
3 cm
Date
3 cm

Hi!

Your answer is the 1st one, 36 inches of ribbon.

The question states this is a square picture frame. That means that all the side lengths are the same.

We are given a side length of 6 inches.

In order to find the area of a square, we multiply the length and the width together.

In this problem, the sides of the picture frame measure 6 inches. Therefore:

[tex]6*6=36[/tex]

For a similar problem, see:

https://brainly.com/question/26494746

Side of the Square picture frame= 6 inches

How much inches of ribbon she requires to cover the square frame.

There is a square picture frame. And we know Area of square= (side)²

[tex] \text{Area of Square picture frame = (side)²}[/tex]

[tex] = (6) {}^{2} \\ = 36 \: \: \text{inches of ribbon}[/tex]

[tex] \therefore \text{Option A= 36 inches of ribbon}[/tex]

Answer:

Option A is the correct answer

A. [tex](x+2\sqrt3 i)(x-2\sqrt3 i)[/tex]

Step-by-step explanation:

[tex](x + 2 \sqrt{3} i)(x - 2 \sqrt{3} i) \\ \\ = {(x)}^{2} - (2 \sqrt{3} i)^{2} \\ \\ = {x}^{2} - {(2)}^{2} {( \sqrt{3} )}^{2} {i}^{2} \\ \\ = {x}^{2} -12 {i}^{2} \\ \\ = {x}^{2} - 12( - 1) \\ (\because i^2=-1) \\ = {x}^{2} + 12[/tex]

Answer: A.) 0.9

Step-by-step explanation: hope this helps xlXCherryColaXlx. have a great day :3...(pls mark me brainliest)

he should have covered 0.95-mile

Answer:

z=10

Step-by-step explanation:

We know that the ratio 7:21 is equal to the ratio of 10:3z.

Let's model that in proportions:

7               10

-       =        -

21             3z

Now that the equation is in proportional form, we can cross-multiply to find the value of z.

7 * 3z = 21 * 10 - Multiply both sides

21z = 210 - Divide both sides by 21

z=10

The answer is z=10.

Answer:

choice B

Step-by-step explanation:

using the formula:

[tex]theta \div 360\pi \times r ^{2} [/tex]

Answer:

B

Step-by-step explanation:

Formula

[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

Solution

Given:

[tex]\begin{aligned}\implies \textsf{Area} & =\left(\dfrac{60^{\circ}}{360^{\circ}}\right) \pi \cdot 9^2\\\\ & = \dfrac16 \cdot \pi \cdot81\\\\ & = \dfrac{81}{6} \pi\\\\ & = \dfrac{27}{2} \pi \: \sf cm^2\end{aligned}[/tex]

Answer:

Line D

Step-by-step explanation:

Let's see how much points fall under each line's region

Majority of points lie under line D

Hence line D should be correct

Answer:

4, -4, 10

Step-by-step explanation:

on these types of questions you can take each seperate parenthesis and equate it to 0

for example:

x^2 - 16 = 0

hence,

x^2 = 16

x = 4 or -4

second parenthesis:

10 - x = 0

x = 10

make sure to ask if you need any further guidance :)

Answer:

16

Step-by-step explanation:

6.48 + 9.34= 15.82 so when u round the number it 16 so the estimate is 16.

Answer:

Two rays (or lines) that begin at the same point or share same endpoint. If the lines have endpoints, they're rays. If not, they're lines.

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Let's solve ~

Assume the number to be x, and let's proceed as per the given information :

[tex]\qquad \tt \dashrightarrow \: \dfrac{20}{100} \times x = 6 [/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{x}{5} = 6[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 5 \times 6[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 30[/tex]

So, the correct choice is C

20% of a number= 6.

the unknown number.

let the unknown be x.

[tex]20\% \times x = 6[/tex]

[tex] \frac{20}{100} = 6[/tex]

[tex]x = 6 \times \frac{100}{20} [/tex]

[tex]x = 30[/tex]

therefore, 20% percent of 30 is 6.

answer= option c

Answer:

[tex]\sf \dfrac{2}{3} = \dfrac{32}{48} = \dfrac{30}{45}[/tex]

[tex]\sf \rightarrow \dfrac{2}{x} = \dfrac{32}{48}[/tex]

[tex]\sf \rightarrow 2(48)= {32x}[/tex]

[tex]\sf \rightarrow 32x= 96[/tex]

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

[tex]\rightarrow \sf \dfrac{32}{48} = \dfrac{30}{y}[/tex]

[tex]\rightarrow \sf {32y} = 30(48)[/tex]

[tex]\rightarrow \sf {32y} = 1440[/tex]

[tex]\rightarrow \sf y = 45[/tex]

-4x+11y=-50

[tex]x = \frac{25}{2} + \frac{11y}{4} [/tex]

So, the prime factorization of 567 can be written as 34 × 71 where 3, 7 are prime.

Answer:

Most of the time you can go on a website that can cauculate it.

Step-by-step explanation:

How to cauculate the MAD:

Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth.

Step-by-step explanation:

it needs 4×2 = 8 cubes asking the length, 5×2 = 10 cubes along the width, and 3 1/2 × 2 = 7 cubes along the height.

so, altogether

8×10×7 = 560 cubes

Answer:

6x4=24 as a fraction it could be 24/1 48/2 72/3 etc.

Step-by-step explanation:

Answer:

The formula for area of a trapezoid is (b_{1} + b_{2})*\frac{1}{2} h=A(b

1

+b

2

)∗

2

1

h=A

b=base

h=height AKA altitude.

A=area.

Base 1 is 483.

Base 2 is 405.

483+405=888

888×320 (h) = 284160

284160 × \frac{1}{2}

2

1

= 142080

The approximate area of Nevada is 142080 square miles.

♡ Hope this helps! ♡

❀ Ishu ❀

please mark brainlist

Answer:

it is the domain

Step-by-step explanation:

because if you put 5x on the other side it will be a -5

Y-INTERCEPT

[tex]y = 5x^2 - 16x + 10[/tex]

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

[tex]\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10[/tex]

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

[tex]y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0[/tex]

We need to use the quadratic formula

The quadratic formula helps us find what values of [tex]x[/tex] make the equation = 0

Quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\[/tex]

The x-intercepts are at:

[tex](\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)[/tex]

22 people

333 chocolate bars

the amount of chocolate each person get.

[tex] \frac{333}{22} [/tex]

[tex] = 15.1363636364[/tex]

[tex] = 15.14[/tex]

[tex] = \frac{15.14}{1} [/tex]

[tex] \frac{15.14}{1} \times \frac{100}{100} [/tex]

[tex] = \frac{1514}{100} [/tex]

[tex] \frac{1514 \div 2}{100 \div 2} [/tex]

[tex] = \frac{757}{50} [/tex]

[tex] = 15 \frac{7}{50} [/tex]

Answer:

[tex]15\frac{7}{50}[/tex]

Step-by-step explanation:

Given that:

22 people share 333 chocolate bars equally. Each chocolate bar is the same size.

To Find:

About how much chocolate does each person get?

Solve:

Since, it given us that 22 people share 333 chocolate bars equally and how much chocolate does each person gets. Therefore we have to divide the chocolate bars by the number of people.

 [tex]22\overline{|\smallspace333}\:\:\:\:\:\:[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1\emptyspace5.13636\:\:\:\:\:\:\:\:\:\:\:\\ 22\overline{|\smallspace333.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace2\emptyspace2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace1\emptyspace1\emptyspace3\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace3\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

       [tex]\underline{\emptyspace2\emptyspace2}\\80\\\underline{\emptyspace6\emptyspace6}\\140\\\underline{\emptyspace13\emptyspace2}\\8[/tex]

Rounding to nearest tenth: 15.14

Now put 15.14 over 1

[tex]\frac{15.14}{1}[/tex]

Multiply both by 100

[tex]\frac{15.14}{1}\times\frac{100}{100}[/tex]

[tex]=\frac{1514}{100}[/tex]

[tex]=\frac{1514\div2}{100\div2}[/tex]

[tex]=\frac{757}{50}[/tex]

Turning into mixed number:

[tex]15\frac{7}{50}[/tex]

Thus, each person get about [tex]15\frac{7}{50}[/tex] chocolate

Kavinsky

Answer:

See below

Step-by-step explanation:

100 ft in 4 min     =   25 ft/min

125 feet in 5 min =   25 ft min

so the height is   d = 25 * m           d = height   m = minutes

25* 8 = 200 feet

Answer:

Since , we're given three distinct measures , we can make out that the dimensions are most probably of a cuboid.

[tex]Volume \: of \: cuboid = l \times b \times h \\ \\ \implies \: 8 \times 9 \times 3 \\ \\ \bold\red{\implies216 \: units^{3}}[/tex]

hope helpful ~

Answer:

  (A)  7/(m+4)

Step-by-step explanation:

When fractions have a common denominator, you add them by adding their numerators and using that sum with the common denominator.

Here, you may be able to cancel a common factor from numerator and denominator to simplify the expression further.

  [tex]\dfrac{4m-17}{m^2-16}+\dfrac{3m-11}{m^2-16}=\dfrac{4m-17+3m-11}{m^2-16}=\dfrac{7m-28}{m^2-16}\\\\=\dfrac{7(m-4)}{(m+4)(m-4)}=\boxed{\dfrac{7}{m+4}}[/tex]

The paragraph to show the comparision between two classes semester grades on the basis of the terms

is given below:

A box and whisker plot is defined as a graphical method of displaying variation in a set of data.

From the first figure, write all the values where dark point is drawn

53, 62, 80, 86, 89  

        The upper extreme is the highest value, which is 89.

        The upper quartile is 86 and the lower quartile is 62.

       = Highest - Lowest

       =89-53

       =36

From the second figure, write all the values where dark point is drawn

56, 62, 74, 89, 96

        The upper extreme is the highest value, which is 96.

       The upper quartile is 89 and the lower quartile is 62.

       = Highest - Lowest

       =96-62

       =34

From the above discussion,  

The comparision of the two classes on the basis of extremes, quartile, median, range is concluded above.

learn more about box and whisper plot here:

https://brainly.com/question/11859288

#SPJ1

Answer:

120 yards cubed

Step-by-step explanation:

brainliest please

Answer:

y = -1.25x + 3

OR
y = -1 1/4x + 3

OR

y = -5/4x + 3