Domain and rang of these

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Answer:

525 pound of onions were recieved

Step-by-step explanation:

1 bag of potatoes: 30 pounds

total pounds of potatoes and onions received= 1800

let the total pounds of onions received be x,

25 bags of potatoes = 25 × 30= 750 pounds

now according to the question,

x + x + 750= 1800

2x = 1800 - 750

x= 1050 ÷ 2

x= 525

Note: plz correct me if I am wrong somewhere

The restaurant receives 150 pounds of onions.

Let's assume the number of bags of onions is "x". According to the problem, there are 25 more bags of potatoes than bags of onions, which means the number of bags of potatoes is "x + 25".

The weight of each bag of potatoes is 30 pounds, so the total weight of potatoes is 30(x + 25) pounds.

The weight of each bag of onions is 5 pounds, so the total weight of onions is 5x pounds.

According to the problem, the restaurant receives 1,800 pounds of potatoes and onions in total. We can set up the following equation based on this information:

30(x + 25) + 5x = 1800

Simplifying the equation:

30x + 750 + 5x = 1800

35x + 750 = 1800

35x = 1800 - 750

35x = 1050

Dividing both sides by 35:

x = 1050 / 35

x = 30

Therefore, the restaurant receives 30 bags of onions.

To find the weight of onions, we can substitute the value of x into the expression for the weight of onions:

Weight of onions = 5x = 5 * 30 = 150 pounds

Therefore, the restaurant receives 150 pounds of onions.

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Answer:

2. 3x + 11

3. 15x^5

Step-by-step explanation:

2. Simplify by adding

(x + 4) + (2x + 7)

= x + 4 + 2x + 7

= 3x + 11

3. Multiply

3x^2(5x^3)

= 3 (5x^2 x^3)

= 3 (5x^2+3)

= 15x^5

Answer:

If it is expression than answer 6x-6

If it is an equation 5x-16=x+10 than answer is 13/2

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

[tex]\\ \sf \longmapsto 5x-16=x+10[/tex]

[tex]\\ \sf \longmapsto 5x-x=10+16[/tex]

[tex]\\ \sf \longmapsto 4x=26[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{26}{4}[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{13}{2}[/tex]

Answer:

360/ 5 is the answer

Step-by-step explanation:

follow me and please follow me

Answer:

x = 142 degrees

Step-by-step explanation:

52 + 90 + x = 180

142 + x = 180

-142        -142

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

        x = 38

180 - 38 = 142

Hope this helped.

Answer:

11/30

Step-by-step explanation:

Answer:

IU=161

Step-by-step explanation:

Angle Formed by Two Secants=  1/2 (difference of Intercepted Arcs)

42 = 1/2 (7m+5 - (3m-1))

Distribute the minus sign

42 = 1/2 (7m+5 - 3m+1))

Combine like terms

42 = 1/2 ( 4m+6)

Distribute the 1/2

42 = 2m+3

Subtract 3 from each side

42-3 = 2m+3-3

39 = 2m

Divide by 2

19.5 = m

The sum of the arcs = 360

IU+ 3m-1 + 7m+5 = 360

IU +10m+4 = 360

IU +10(19.5) +4 = 360

IU +195+4 = 360

IU = 360 - 199

IU=161

Answer:

-41 1/10

Step-by-step explanation:

subtract the two numbers may i get brainliest plz

This is a really simple fraction problem. All we have to do is realize that, because he is descending, the [tex]8\frac{3}{5}[/tex] is actually negative, so we get [tex]-32\frac{1}{2}-8\frac{3}{5}=-41\frac{1}{10}[/tex] which can also equal -41.1

Answer:

D. y = cos(4x)

Step-by-step explanation:

The graph passes through the points y = 0 and x = 3π/8

So you solve x = 3π/8 into 4 answers, which is equal to 0 is the correct answer.

Answer:

∠ LMN = 70°

Step-by-step explanation:

The tangent- secant angle LMN is half the difference of the measures of the intercepted arcs, that is

∠ LMN = [tex]\frac{1}{2}[/tex] (NK - NL) = [tex]\frac{1}{2}[/tex] (210 - 70)° = [tex]\frac{1}{2}[/tex] × 140° = 70°

Answer:

[tex]\frac{400}{3} \pi[/tex]

Step-by-step explanation:

Formula for Cone: π[tex]r^{2}\frac{h}{3}[/tex]

Since we have all the components, we can find the volume of the cone.

R = 10

H = 4

π[tex]10^{2}\frac{4}{3}[/tex]

10×10 = 100

100π[tex]}\frac{4}{3}[/tex]

[tex]}\frac{4}{3}[/tex]×100

4       100          400

---  ×   -----    =    ------

3          1              3

Answer: [tex]\frac{400}{3} \pi[/tex]

Hope this helped.

Find the volume of a cone with radius 10 feet and height of 4 feet.

Given Data :

Radius = 10 feet

Height = 4 feet

Formulae :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: \blue{ \underline{ \overline{ \green{ \boxed{ \frak{{ \sf V}olume_{(Cone)} = \pi {r}^{2} \frac{h}{3}}}}}}}[/tex]

Putting the values we get

[tex] \frak{ Volume_{(Cone)} = 3.14 × (10)² × \frac{4}{3} }[/tex]

[tex] \frak{Volume_{(Cone)} = 3.14 × 100 × \frac{4}{3} }[/tex]

[tex] \frak{Volume_{(Cone)} = 314 \times \frac{4}{3} }[/tex]

[tex] \frak{Volume_{(Cone)} = 418.67 \: ft³ }[/tex]

Henceforth, the volume is 418.67 ft³

Answer: 100 tickets.

Step-by-step explanation:

Set up two equations: one representing total amount sold and another representing total dollars earned.

[tex]\left \{ {{x+y=215} \atop {8x+12y=2180}} \right.[/tex]

Rearrange x + y = 215 and find the value of x:

[tex]x+y=215\\x=215-y[/tex]

Substitute it into the other equation and solve for y:

[tex]8x+12y=2180\\8(215-y)+12y=2180\\1720-8y+12y=2180\\4y=2180-1720\\4y=460\\y=\frac{460}{4} =115[/tex]

Substitute in the y-value to the other expression to find x:

[tex]x+y=215\\x+115=215\\x=215-115=100[/tex]

Therefore, they sold 100 of the $8 tickets.

Answer:

30

Step-by-step explanation:

To find the determinant of a parallelogram given points (a, b), (c, d), and (e, f), we can use

[tex]\left[\begin{array}{ccc}a&b&1\\c&d&1\\e&f&1\end{array}\right][/tex] and calculate the determinant of that. Three points on the parallelogram are (-1,1), (-1, -5), and (4, 5). Plugging these into the matrix, we get

[tex]\left[\begin{array}{ccc}-1&1&1\\-1&-5&1\\4&5&1\end{array}\right][/tex]. The determinant is equal to

[tex]-1 *det \left[\begin{array}{ccc}-5&1\\5&1\end{array}\right] \\- 1 * det \left[\begin{array}{ccc}-1&1\\4&1\end{array}\right] \\\\+ 1 * det \left[\begin{array}{ccc}-1&-5\\4&5\end{array}\right] \\= -1 * (-5*1 - (1*5))- 1 * (-1 * 1 - (4*1)) + 1 * (-1 * 5 - (-5*4)) \\= -1 *(-5-5) -1 * (-1 - 4) + 1 * (-5 - (-20))\\= -1 * (-10) -1 * (-5) +1 * (15)\\= 10 + 5 + 15\\=30[/tex]

Answer:

60

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

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

a^2+25^2 = 65^2

a^2 +625 = 4225

a^2 = 4225-625

a^2=3600

Taking the square root of each side

sqrt(a^2) = sqrt(3600)

a = 60

Answer:

Step-by-step explanation:

Hypotenuse: 65

Leg: 25

Let Hypotenuse be c, and leg be a

[tex]a^{2}[/tex] + [tex]b^{2} = c^{2}[/tex]

[tex]a^{2} + 25^{2} = 65^{2}[/tex]

[tex]a^{2} + 625 = 4225\\[/tex]

[tex]a^{2}[/tex] = 4225 - 625

[tex]a^{2}[/tex] = 3600

3600 is the exponential value of a, meaning we need to apply the opposite of squaring to get the value of b. Which is square rooting.

a = [tex]\sqrt{3600\\}[/tex]

a = 60

Therefore a is equal to 60 feet

Answer:

per = 18a         7a+2a+7a+2a

area = 14 [tex]a^{2}[/tex]      7a*2a

Step-by-step explanation:

Answer:

(i) 18a

(ii) 14[tex]a^2[/tex]

Step-by-step explanation:

i: 7a+7a+2a+2a

      14a+4a

         18a

ii: 7a*2a

     14a2

I hope this helps!

Answer:

37degrees

Step-by-step explanation:

In order to get the required angle, we will use the SOH, CAH, TOA identity.

Let;

Adjacent = 60m

Opposite = 45m

According to TOA:

tan theta = opp/adj

tan theta = 45/60

tan theta = 0.75

theta = arctan 0.75

theta =  36.86

Hence the  angle, to the  nearest degree, between her path and the longest side of the playground is 37degrees

Answer:

29.5

Step-by-step explanation:

(5×35)+(5×24)/10

175+120/10

295/10

=29.5

Answer:

80 miles

Step-by-step explanation:

Please find attached the graph used in answering this question

On the graph, the distance travelled is on the vertical axis while the gallons consumed in on the horizontal axis

from the graph, the following can be deduced :

0 gallons is consumed when the car travels 0 mile

1 gallon is consumed when the car travels 30 miles

2 gallons is consumed when the car travels 60 miles

total mile travelled when the gallons consumed is : 2 2/3 x 30

8/3 x 30 = 80 miles

Answer:

[tex]a. \ \dfrac{1}{36}[/tex]

[tex]b. \ \dfrac{4}{9}[/tex]

[tex]c. \ \dfrac{5}{6}[/tex]

Step-by-step explanation:

The given probabilities are; P(Orange) = 1/3, P(Blue) = 1/6, P(Purple) = 1/2

The probability of rolling any of the six numbers of the six-sided die = 1/6

a. The probability of simultaneously 'rolling a 3' and 'spinning blue', P(3 and Blue) is given as follows;

P(rolling a 3) = 1/6, P(Blue) = 1/6

∴ P(3 and Blue) = (1/6) × (1/6) = 1/36

P(3 and Blue) = 1/36

[tex]P(3 \ and \ Blue) = \dfrac{1}{36}[/tex]

b. The probability of either 'rolling a 1' or 'spinning Orange', P(1 or Orange), is given as follows;

P(rolling a 1) = 1/6, P(Orange) = 1/3

P(1 or Orange) = P(rolling a 1) + P(Orange) - P(1 and Orange)

Where;

P(1 and Orange) = (1/6) × (1/3) = 1/18

∴ P(1 or Orange) = 1/6 + 1/3 - 1/18 = 4/9

P(1 or Orange) = 4/9

[tex]P(1 \ or \ Orange) = \dfrac{4}{9}[/tex]

c. The probability of not spinning a blue, P(not Blue) is given as follows;

P(not Blue) = P(rolling all outcomes of the die) and (The sum of the spin probabilities - P(Blue)

∴ P(not Blue) = 1 × ((1/3 + 1/6 + 1/2) - 1/6) = 1 × (1 - 1/6) = 5/6

P(not Blue) = 5/6

[tex]P(not \ Blue) = \dfrac{5}{6}[/tex]

Answer:

The first one is the answer.

Step-by-step explanation:

It's an arithmetic sequence. It has a common difference.

d = an - a_n-1

an = -12x + 12

a_n-1 = - 7x + 8

d = -12x + 12 - (-7x + 8)

d = -12x + 12 + 7x - 8

d = -5x + 4

Try  it. Let's try for the third term

-12x + 12 - 5x + 4

- 17x + 15 which is exactly what the third term is.

Answer:

1. Mean, because there are no outliers that affect the center

Step-by-step explanation:

Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2

Sorted values : 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4

The mean = ΣX / n

n = sample size, n = 15

Mean = 34 / 15 = 2.666

The median = 1/2(n+1)th term.

1/2(16)th term = 8th term.

The 8th term = 2

The best measure of centre is the mean because the values for the second period has no outliers that might have affected the centre of the distribution.

Both interquartile range and standard deviation are measures of spread and not measures of centre.

Answer:

6.05 kg, 6050 grams

Step-by-step explanation:

The kilograms were already given in your question, so that's one half done.

1 kilogram is equivalent to 1000 grams. If we multiply 6.05 by 1000, then you get 6050, the measurement in grams.

Answer: Rs 33

Step-by-step explanation:

Cost of 5 dozen copies = Rs 60

Total copies in 5 dozen = 5×12

= 60

Cost of each copy = 60/60

= Rs 1 per copy

Cost of 33 copies = 33×1

= Rs 33

Therefore cost of 33 such copies is Rs 33

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Answer: 0 and 4

Step-by-step explanation:

55

you know you can just use a calculator or a search engine for that, right?

Answer:

i got 69 it should be right

Step-by-step explanation:

Answer:

4.6

Step-by-step explanation:

tan(75) = 17/x

x = 17/tan(75)

x = 34-17√3

x = 4.6

Answered by GAUTHMATH

Answer:

[tex]9(c+5)=9c+45[/tex]

Step-by-step explanation:

Multiply 9 by the variable and the number