A piece of ribbon is cut into two pieces in the ratio 3:7. The length of the shorter piece is 45cm. Calculate the length in cm of the longer piece of ribbon.​

Answer:

Step-by-step explanation:

length = Pi.radius.15degree/180degree

= Pi.2.15/180 = about 0,5 feet

The length of the arc that is subtended by 15° is: 0.5 ft.

Formula for the arc length in a circle with a radius of r and a central angle of ∅ is, ∅/360 × 2πr.

Given the following:

Arc length = 15/360 × 2π(2)

Arc length = 0.5 ft.

Thus, the length of the arc that is subtended by 15° is: 0.5 ft.

Learn more about the arc length on:

https://brainly.com/question/17329757

Answer:

0.75

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Use x for the equation: (x - 1/2)*1/2 = 1/8

Just go backwards

1/8 is the result, and to get it, you multiply by 1/2, so instead of that, you divide 1/8 by 1/2 instead (Dividing a number by a fraction is the same as multiplying it by its reciprocal. The reciprocal of 1/2 is 2): (1/8)/(1/2) = 1/8 * 2 = 2/8 = 1/4, now since we subtracted 1/2, we add instead: 1/4 + 1/2 = 1/4 + 2/4 = 3/4

Answer:

568 in 2 boxes

Step-by-step explanation:

852 = total of grapes

852 ÷ 3 = 284 per box

To find 2 boxes:

284 + 284= 568

Answer:

total amount of sweets=230

Step-by-step explanation:

ratio=8:5:10

total ratio=8+5+10

=23

Adrian=x

Charlie= x+20

Ben=1/2×(x+20)

Charlie's share

10/23×(x+20+x+(1/2×x+20))=x+20

10/23×(x+20+x+(x+20/2))=x+20

10/23×(x+20+x+x+20/2)=x+20

10/23×(2(x+20)+(2×x)+(x+20/2)/2=x+20

10/23×(2x+40+2x+x+20)/2=x+20

10/23×(2x+2x+x+40+20)/2=x+20

10/23×(5x+60)/2=x+20

50x+600/46=x+20

50x+600=46(x+20)

50x+600=46x+920

50x-46x=920-600

4x=320

4x/4=320/4

x=80

Total amount of sweet

x+x+20+1/2(x+20)

80+80+20+1/2(80+20)

180+1/2(100)

180+50

230

Answer:

3420 minutes 205,200 second.

Given:

[tex]\sin \theta <0[/tex]

[tex]\tan \theta <0[/tex]

To find:

The quadrant in which [tex]\theta[/tex] lie.

Solution:

Quadrant concept:

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II, only [tex]\sin\theta[/tex] and [tex]\csc\theta[/tex] are positive.

In Quadrant III, only [tex]\tan\theta[/tex] and [tex]\cot\theta[/tex] are positive.

In Quadrant IV, only [tex]\cos\theta[/tex] and [tex]\sec\theta[/tex] are positive.

We have,

[tex]\sin \theta <0[/tex]

[tex]\tan \theta <0[/tex]

Here, [tex]\sin\theta[/tex] is negative and [tex]\tan\theta[/tex] is also negative. It is possible, if [tex]\theta [/tex] lies in the Quadrant IV.

Therefore, the correct option is D.

Answer:

3

Step-by-step explanation:

A'B'C'D' is 3 times bigger than ABCD, so to get back to the original we gotta count the length of B'C' and devide by 3

[tex]9 \div 3 = 3[/tex]

The length of the segment BC or preimage of BC was 3 units.

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, A Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3.

From the graph diagram the length of segment B'C' is 9 units.

Therefore, Before the dilation, the length of the segment BC would be

(1/3)×9.

= 3 units.

learn more about transformations here :

https://brainly.com/question/11709244

#SPJ2

Answer:

True

Step-by-step explanation:

A system of equations can be solved by Translating the system of equations into a matrix by following theses steps

write out the resulting answer in form of equations.

Answer:

[tex] \large{ 16.}[/tex]

[tex] \: \large{\tt{❃ \: m \: \angle \: 1 + m \: \angle \: 2 = 180 \degree \: ( \: SUM \: OF \: ANGLE \: IN \: LINEAR \: PAIR)}}[/tex]

[tex] \large{ \tt{⟶ \: 47 \degree + m \angle \: 2 = 180 \degree}}[/tex]

[tex] \large{ \tt{⟶ \: m \angle \: 2 \: = 180 \degree - 47 \degree}}[/tex]

[tex] \large{ \boxed{ \tt{⟶ \: m \: \angle \: 2 = 133 \degree}}}[/tex]

–––––––––––––

[tex] \large{17}.[/tex]

[tex] \large{ \tt{↝ \: m \angle \: 6 = m \angle5 = \boxed{ 99.5\degree }\: ( \: BEING \: VOA)}}[/tex]

–––––––––––––

[tex] \large{18.}[/tex]

[tex] \large{ \tt{✻ \: m \angle \: JHL = m \angle \: JHK + m \: \angle \: KHL\: }}[/tex]

[tex] \large{ \tt{⤏ \: m \angle \: JHL= 60 \degree + 46 \degree}}[/tex]

[tex] \large{ \boxed{\tt{⤏ \: m \angle \: JHL = 106 \degree}}}[/tex]

–––––––––––––––

[tex] \large{ {19.}}[/tex]

[tex] \large{ \tt{❁ \: m \: \angle \: JHK + m \: \angle JHP+ m \: \angle PHN= 180 \degree \: ( \: sum \: of \: angle \: in \: straight \: line)}}[/tex]

[tex] \large{ \tt{↣ \: 60 \degree + m \angle \: JHP+ 46 \degree = 180 \degree}}[/tex]

[tex] \large{ \tt{↣ \: m \angle \: JHP = 74 \degree}}[/tex]

[tex] \large{ \tt{☂ \: m \angle \: JHN = m \angle \: JHP + m \angle \: PHN}}[/tex]

[tex] \large{ \tt{↦m \angle \: JHN = 74 \degree + 46 \degree}}[/tex]

[tex] \large{ \boxed{ \tt{ ↦m \angle \: JHN = 120 \degree}}}[/tex]

––––––––––––––––

[tex] \large{ 20.}[/tex]

[tex] \large{ \tt{✺ \: m \angle \: KHP = m \angle \: KHJ + m \angle \: JHP}}[/tex]

[tex] \large{ \tt{ ↬ \: \: m \angle \: KHP = 74 \degree + 60 \degree}}[/tex]

[tex] \large{ \boxed{\tt{↬ \: m \angle \: KHP = 134 \degree}}}[/tex]

––––––––––––––––

[tex] \large{ \tt{ \# \: StayInAndExplore \: !}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

line n

Step-by-step explanation:

Line n goes through points A and G on the diagram.

Answer:

Simple random sampling

Step-by-step explanation:

From the sampling description explained above, the sampling method used is a simple random sampling method whereby a small subset or group is chosen from a larger set or population with all individuals in the population having exactly equal chance. The entire sample during a simple random sampling does not have to partitioned or subdivided into groups or subgroups. All individual samples are entirely sampled together with all having the sample probability of being chosen. This way the samples are representative of the entire population. All students in the scenario were sampled with any subdivision. Hence, we have a simple random sampling method.

Step-by-step explanation:

the asymptotes of f(x) :

(4x-π) = π/2

4x = 3π/2 => x = 3π/8

(4x-π) = 3π/2

4x=5π/2 => x = 5π/8

the answer is

D. X= 3pi/8, x=5pi/8

Answer:

Step-by-step explanation:

volume of reqd. figure=10×5×1+3×3×1=50+9=59 cm³

Answer:

[tex]{ \bf{perimeter = 2(length + width}} \\ \\ { \tt{28 = 2((x + 2) + (x + 6))}} \\ \\ 14 = 2x + 8 \\ 2x = 6 \\ { \tt{x = 3}}[/tex]

x = 3

Perimeter of rectangle = 2 ( l + b )

Where, we have

substitute the values

28 cm = 2 ( ( x + 2) + ( x + 6 ))

combine like terms

distributing 2 through parantheses

subtract 16 from both side

divide both side by 4

Answer:

x = 25

Step-by-step explanation:

Angle 1 and the angle opposite from Angle 1 (the angle that's 68°) are vertical angles.

What are vertical angles, you ask?

According to the Oxford dictionary, vertical angles are each of the pairs of opposite angles made by two intersecting lines.

For example, take the letter X. The letter X has two lines that intersect to form 4 angles. The top and bottom angles are a pair of vertical angles. So are the left and right angles.

Vertical angles are always congruent.

(This is VERY important to know! It will help you solve many types of geometry problems!)

m1 is 3x - 7. Because Angle 1 and the angle that's 68° are vertical angles, that means they are equal to each other.

Therefore: 3x - 7 = 68.

Now, you can solve for x to get x = 25.

Hope this helps!

Answer:

9

Step-by-step explanation:

sqrt(27*3)

sqrt(81)

sqrt(9*9)

9

Answer:

9

Step-by-step explanation:

27 * 3 = 81

√81 = 9

Answer:

B. 6

Step-by-step explanation:

3³ x 3³ = 3⁶

The answer is 6

Answer:

B) 6

Step-by-step explanation:

The reason for this is really awesome and is clearly seen when you expand it.

x^3= x times x times x

x^3= x times x times x

x^3 times x^3= x times x times x times x times x times x= x^6

Answer:

a

Step-by-step explanation:

Answer:

The answer would be D.

Step-by-step explanation: Hope this helps and gl :)

Answer:

x=4.34 seconds

Step-by-step explanation:

-16x^2+70x-2=0

[tex]x=\frac{35+\sqrt{1193}}{16}[/tex]

x=4.34

Answer:

$1160

Step-by-step explanation:

And yes I agree to this statement

Answer:

-24, [tex]\frac{1}{24}[/tex]

Step-by-step explanation:

An opposite number or additive inverse of any number (n) is a number which, if added to n, results in 0. The opposite number for n is written as −n.

For 24, this is -24.

A multiplicative inverse or reciprocal for a number n, is a number which when multiplied by n, their product is 1. To find the multiplicative inverse of a real number, just divide 1 by that number.  The reciprocal for n is written as [tex]\frac{1}{n}[/tex] or [tex]n^{-1}[/tex].

For 24, this is [tex]\frac{1}{24}[/tex].

**This content involves opposite and reciprocal numbers, which you may wish to revise. I'm always happy to help!

Answer:

D

Step-by-step explanation:

Total ribbon left is 28 1/3 - 10 2/3= 86/3-32/3=54/3=18

Answer:

9

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

First number      = 1

Second number = 2

Third number     = 5

Fourth number   = 10

Fifth number      = 25

Sixth number     = 50

Seventh number = 100

Again 14th number will be = 100

Again 21st number will be = 100

Continuing 70 th number will be = 100

71st number= 1

72nd number = 2

73rd number = 5

74th number = 10

75th number = 25

OR

[tex]\frac{75}{7} = 10 \times 7 + 5\\[/tex]

So, after repeating 10 times up to 100, then the 5 number will be the 75th number , which is 25

Given:  The length of the chords are given.

To find: Here we need to identify which of the chord is having shorter length,

Solution: By the given option it is clear that the 13 units is the answer.

Therefore, the shorter of the two chords shown are 13 units.

Answer:

The person above is 13 13 13 13

Step-by-step explanation:

13 13 13 13 13 13 13 13 13 13 13 13 13 13 its right on edge

13 13 13 13 13 13 13 13 13 13 13 13 13 13 its right on edge

13 13 13 13 13 13 13 13 13 13 13 13 13 13 its right on edge

13 13 13 13 13 13 13 13 13 13 13 13 13 13 its right on edge

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]

7.) Detemine the value of [tex] \sf{ {3a}^{2} -b.}[/tex]

[tex] \huge\underline{\sf{\red{Given:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]

[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]

[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]

[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{3a}^{2} - b}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶{(3)( 2)}^{2} -( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶3(4)-( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶12-( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶12 + 1 }[/tex]

[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{7.)\:13}}}}[/tex]

8.) Find the value of [tex] \sf{ {a}^{3} {b}^{3} - abc.}[/tex]

[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶ {a}^{3} {b}^{3} - abc}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{(2)}^{3} {( - 1)}^{3} - (2)( - 1)( - 3)}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)} - ( - 2)( - 3)}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{( - 8)} - ( 6)}[/tex]

[tex]\quad\quad\quad\quad ⟶\boxed{\sf{ - 14}}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{8.)-14}}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

Answer:

C. 54

Step-by-step explanation:

1. Drop down the 1

2. Multiply 1 by 3, put that answer, 3, underneath the 5

3. Add 3+5, then put that answer, 8, below.

4. Multiply 8 by 3, put the answer, 24, under the -8

5. Add 24 and -8 to get 16, drop 16 underneath

6. Multiply 16 by 3, put the answer, 48, under the 6

7. Add 48 and 6 to get 54. Drop 54 below.

Now there are no more coefficients to add the 54 to, so 54 is the remainder!

I hope this helped, the explanation without writing it down is kind of confusing. :))