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Bumek [7]
2 years ago
9

Define each following sets by listing its elements, the set of letters in the word "salt"

Mathematics
1 answer:
leonid [27]2 years ago
8 0

The word can be represented as a set and in the roaster form the set of letters is {s, a, l, t}

<h3>What is set?</h3>

A set is a collection of clearly - defined unique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.

We have given letter:

"salt"

Here, no letter is repeated.

So we can write it as roaster form:

Let's denote the set as S

S = {s, a, l, t}

Number of element in the set = 4

We can make new set from it if the set has only vowels

S(v) = {a}

If set has only consonants:

S(c) = {a, l, t}

Thus, the word can be represented as a set and in the roaster form the set of letters is {s, a, l, t}

Learn more about the set here:

brainly.com/question/8053622

#SPJ1

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sin H = Opposite / Hypotenuse

sin H = 5/13

sin H = 0.384615

<H = 22.6198

<H = 23 (nearest degree)

Answer is first one.

23

6 0
3 years ago
ABC has the points A(1,7) B(-2,2) and C(4,2) as it’s vertices
tekilochka [14]

<u>Part 1</u>

Using the distance formula,

AB=\sqrt{(-2-1)^{2}+(2-7)^{2}}=\sqrt{34}\\\\BC=\sqrt{(-2-4)^{2}+(2-2)^{2}}=6\\\\AC=\sqrt{(1-4)^{2}+(7-2)^{2}}=\sqrt{34}

So, the measure of the longest side is 6 units.

<u>Part 2</u>

Triangle ABD will have vertices A(1,7), B(-2, 2), and D(1,2).

We already know that AB=\sqrt{34}

Using the distance formula,

AD=\sqrt{(1-1)^{2}+(7-2)^{2}}=5\\\\BD=\sqrt{(-2-1)^{2}+(2-2)^{2}}=3

So, ABD is a scalene triangle.

<u>Part 3</u>

From part 2, we know that the length of side AD is 5 units.

6 0
2 years ago
Need Help ASAP only correct answers. Working on it now. Took a picture. question: Figure ABCDE is the result of a 180° rotation
Angelina_Jolie [31]

Answer:∠M in the pre-image corresponds to ∠B in the image.

Step-by-step explanation:

When  we look at the figures , we can see that the three vertices B , C , D are one side as vertices to M , N  ,O .

Clearly , vertex C corresponds to vertex N ( presents in the middle )

Also, point B is at the right from point C .In  Figure L M N O P , vertex M is at the right from vertex N .Thus , vertex M corresponds the vertex B.

It means ∠M in the pre-image corresponds to ∠B in the image.

brain list this answer thankyou:)

7 0
3 years ago
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Luba_88 [7]

Answer:

Speed = 100/Time

Step-by-step explanation:

(a). Speed is a function of time : As seen from equation (1) Speed of the students varies according to the value of time. So, This a true statement.

(b). Time is a function of distance : Distance is not varying in the equation (1), it is fixed to be 100. So, time is not a function of distance because here the distance is made constant. So, This is false statement.

(c). Speed is a function of number of students racing : Speed is not depending on the number of students racing so sped is independent of the number of the students racing. Therefore, Speed is not a function of number of students racing. This is False statement.

(d). Time is a function of speed : As seen from equation (1) Time of the students varies according to the value of their speed. So, This a true statement.

Hence, the true statements are (a) and (d)

4 0
2 years ago
Renata's recipe for her famous Kale 'n' Clam Quencher calls for kale juice and clam juice in a 3:1 ratio. If Renata pours 18 lit
geniusboy [140]

Answer:

6 liters

Step-by-step explanation:

Given:

Renata's recipe for her famous Kale 'n' Clam Quencher calls for kale juice and clam juice in a 3:1 ratio.

If Renata pours 18 liters of fresh kale juice, how many liters of clam juice should she add to maintain this ratio?

Solution:

Ratio to be maintain by using kale juice and clam juice = 3 : 1 ( given)

Renata pours fresh kale juice = 18 liters

We have to calculate quantity of clam juice should be added to maintain this ratio:-

Let quantity of clam juice should be added = x

<u>Ratio to be maintain : : quantity of kale juice : quantity of clam juice</u>

3 : 1=18:x\\ \\ \frac{3}{1} =\frac{18}{x} \\ \\

By cross multiplication:

3x=18

By dividing both sides by 3

x=6\ liters

Thus, 6 liters of clam juice should she add.

7 0
3 years ago
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