The quadrilateral MNOP is a trapezoid. If MQ ≅ NR and m∠NMQ - 140° calculate m∠MNR.

Answer:

[tex]\huge\boxed{\cot\dfrac{3\pi}{2}=0}[/tex]

Step-by-step explanation:

[tex]\text{We know}\ \cot x=\cot(x\pm\pi)\ \text{and}\ \cot(-x)=-\cot x.\\\\\text{We have}\ \cot\dfrac{3\pi}{2}=\cot\dfrac{\pi+2\pi}{2}=\cot\bigg(\dfrac{\pi}{2}+\dfrac{2\pi}{2}\bigg)=\cot\bigg(\dfrac{\pi}{2}+\pi\bigg)=\cot\dfrac{\pi}{2}\\\\\cot\bigg(\dfrac{\pi}{2}\bigg)=0\\\\\text{Therefore}\ \cot\dfrac{3\pi}{2}=0.[/tex]

Answer:

-0.704 (corrected to 3 significant figures).

Step-by-step explanation:

Standardized score = (actual score - mean) / standard deviation

Standardized score = (60% - 65%) / 7.1%

= -0.704 (corrected to 3 significant figures).

Standardized score = (actual score - mean) / standard deviation

= (60% - 65%) / 7.1%

= -0.704 (corrected to 3 significant figures).

A regular distribution is an association of facts set in which maximum values cluster in the center of the range and the relaxation taper off symmetrically in the direction of either intense.

Peak, beginning weight, studying potential, activity satisfaction, or SAT scores are only some examples of such variables. due to the fact that commonly distributed variables are so not unusual, many statistical checks are designed for commonly disbursed populations.

Learn more about the normal distribution here: https://brainly.com/question/4079902

#SPJ2

Answer:

Step-by-step explanation:

Hello,

[tex]8a(3x-2y)^2-12x +8y\\\\ = 8a(3x-2y)^2-4(3x-2y)\\\\ = (3x-2y)(8a(3x-2y)-4)\\\\=(3x-2)(24ax-16ay-4)[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

Average speed for the entire trip, both ways, is

                (Total distance) divided by (total time) .

We don't know the distance from his house to the gift store,

and we don't know how long it took him to get back.

We'll need to calculate these.

-- On the trip TO the store, it took him 50 minutes, at 6 mph.

-- 50 minutes is 5/6 of an hour.

-- Traveling at 6 mph for 5/6 of an hour, he covered 5 miles.

-- The gift store is 5 miles from his house.

-- The total trip both ways was 10 miles.

-- On the way BACK home from the store, he moved at 12 mph.

-- Going 5 miles at 12 mph, it takes  (5/12 hour) = 25 minutes.

Now we have everything we need.

Distance:

        Going:       5 miles

        Returning:  5 miles

        Total         10 miles

Time:

        Going:        50 minutes

        Returning:   25 minutes

        Total:          75 minutes  =  1.25 hours  

        Average speed for the whole trip =

                      (total distance) / (total time)

                  =      (10 miles)  /  (1.25 hours)

                  =       (10 / 1.25)  miles/hours

                  =          8 miles per hour

Step-by-step explanation:

Answer:

210 students

Step-by-step explanation:

The total number of students surveyed was

19+14+30+23+14 = 100

The fraction that picked Yosemite is 14/100

Multiply that fraction by the total number of students

1500* 14/100 = 210

Answer:

210 students

Step-by-step explanation:

vote me brainliest plz

Answer:

23.75

Step-by-step explanation:

IM GANNA HELP FOR THE SECOND ONE CUZ THE FIRST QUESTION DOESNT HAVE SOME VALUES AND THE THIRD IS KINDA HARD

BUT I HOPE I HELPED

the question:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. At the farmers market, Nathaniel buys two dozen oranges at $3.50 per dozen, four kilograms of apples at $3.25 per kilogram, two kilograms of carrots at $1.90 per kilogram, and one kilogram of potatoes for $1.20. He received a 5% discount off his total bill. How much money did Nathaniel spend on fruits and vegetables at the farmers market? Nathaniel spent $______ at the farmers market.

nathaniel got 2 dozen so 7$ for the oranges

4 kg  so 13$ for apples

2 kg so 3.8$ for carrots

1 kg so 1.2$ for potatoes

LETS ADD IT TOGETHER

25$ TOTAL

DISCOUNT=5%

5% OF 25 IS 1.25

SO 25-1.25=23.75

SO NATHANIEL SPENT 23.75$ IN ALL

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

  ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                 PEACE!

Answer:

7

Step-by-step explanation:

2x^2 - 7x - 4 = 45

2x^2 - 7x - 49 = 0 : subtract 45 from both sides

Quadratic formula:

  x = (7 ± sqrt(7^2 - 4*2*-49) ) / 4

  x = (7 ± sqrt(49 - -392)) / 4

  x = (7 ± sqrt(441)) / 4

  x = (7 ± 21) / 4

  x = (7 + 21) / 4 OR x = (7 - 21) / 4

  x = 28 / 4 OR x = -14 / 4

  x = 7 as it is the only positive answer

Answer:

  a = 104

Step-by-step explanation:

The sum of angles around a point is 360°.

  a° +126° +a° +26° = 360°

  2a +152 = 360 . . . . collect terms, divide by °

  2a = 208 . . . . . . . .  subtract 152

  a = 104 . . . . . . . . . . divide by 2

Answer:

The x value of the point 1/4 the distance from point C to point D is -0.25

Step-by-step explanation:

The given information are;

The location of point C = (1, 2)

The location of point D = (-4, -2)

The point 1/4 from point C to point D is the point 3/4 from point D to point C

Which gives;

The coordinate at point D + 3/4× The difference between the coordinates of point C and point D

Which is (-4 + 3/4×(1 - (-4),  - 2 + 3/4×(2 - (-2))

Which gives;

(-4 + 3.75, -2 + 3)  and (-0.25, 1)

The coordinates of the point 1/4 the distance from point C to point D is (-0.25, 1)

Therefore, the x value of the point 1/4 the distance from point C to point D = -0.25.

Answer:

Length of the square = 3 inches

Equation:   [tex]l = L - 3[/tex] and [tex]l = W - 1[/tex]

Step-by-step explanation:

Given

Area of the rectangle = 24

Required

Length of the square when the dimension of the rectangle is trimmed by 3 inches * 1 inches

Represent the dimension on the rectangle by L and W

Such that L represent Length and W, Width

This implies that

[tex]L * W = 24[/tex]

Represent the length of the rectangle by l

Such that

[tex]l = L - 3[/tex] and [tex]l = W - 1[/tex] (When trimmed)

Equate both expressions

[tex]L - 3 = W - 1[/tex]

Add 3 to both sides

[tex]L - 3 + 3 = W - 1 + 3[/tex]

[tex]L = W + 2[/tex]

Next is to list all possible dimensions of the rectangle;

[tex]Area(L,W) = Length * Width[/tex]

[tex]Area(24,1) = 24 * 1 = 24[/tex]

[tex]Area(12,2) = 12 * 2 = 24[/tex]

[tex]Area(8,3) = 8 * 3 = 24[/tex]

[tex]Area(6,4) = 6 * 4 = 24[/tex]

From the list above, the only calculation that fits our solution is

[tex]Area(6,4) = 6 * 4 = 24[/tex]

Such that

[tex]6 = 4 + 2[/tex]

By direct comparison of [tex]6 = 4 + 2[/tex] to [tex]L = W + 2[/tex];

[tex]L = 6[/tex]

[tex]W = 4[/tex]

Recall that

[tex]l = L - 3[/tex] and [tex]l = W - 1[/tex]

Substitute 6 for L and 4 for W

[tex]l = 6 - 3[/tex] and [tex]l = 4 - 1[/tex]

[tex]l = 3[/tex] in both cases

Hence, the length of the square is 3 inches

And the equation is  [tex]l = L - 3[/tex] and [tex]l = W - 1[/tex]

Answer:

80 = EG

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

40 = 1/2 EG

Multiply each side by 2

80 = EG

Answer:

80 deg

Step-by-step explanation:

Theorem:

The measure of an inscribed angle is half the measure of the intercepted arc.

m<EFG = (1/2)m(arc)EG

40 deg = (1/2)m(arc)EG

m(arc)EG = 2 * 40 deg

m(arc)EG = 80 deg

Answer:

(1.5,-3) and (4.5,-3)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3(4 - 2)^2

Parentheses first

3 ( 2) ^2

Then exponents

3 *4

Then multiply

12

Answer:

X=6/11

Step-by-step explanation:

8-(5x-2)=6-2(3x+1)

8-5x+2=6-6x-2

10-5x=4-6x

6=11x

x=6/11

Answer:

8-5x-2=6-6x+2

8-2-6-2=5x-6x

-10+8=-x

-2 =-x

x=2 ........×-1

x=2

Answer:

B and D

Step-by-step explanation:

I think this is the answer

Answer:

B. The Dress Shop.

Step-by-step explanation:

To find the best deal, we want to find the cost for one dress.

Lara's Boutique: $64 for 4 dresses.

x / 1 = 64 / 4

x = 64 / 4

x = $16 per dress.

The Dress Shop: $75 for 5 dresses.

x / 1 = 75 / 5

x = 75 / 5

x = $15 per dress.

Marge's Dresses: $160 for 8 dresses.

x / 1 = 160 / 8

x = 160 / 8

x = $20 per dress.

The boutique with the best deal will have the cheapest dresses. So, the best deal would be at B. The Dress Shop.

Hope this helps!

See the answer in attachment

Answer:

(x-2)(x+1)(x+1)

Step-by-step explanation:

x³-3x-2=

(x-2)(x+1)(x+1)

Answer:

  see below

Step-by-step explanation:

The cube root is defined for all real numbers, but squaring it makes the first term of F(x) be non-negative. Hence the domain of F(x) is all real numbers, and its range is [-2, ∞).

Shifting the function 2 units left does not change the domain.

Shifting the function 4 units up moves the range to [2, ∞).

Answer:

(-15,3)

Step-by-step explanation:

Answer:

No, Beth is not correct. The function g(x) has an h value of 5 and a k value of 1. This would be a horizontal translation of the square root function of 5 units to the right, rather than the left. Beth was correct about the vertical translation of the square root function of 1 unit up. The point (0, 0) from the square root function would be translated to the point (5, 1) on the graph of g(x).

Step-by-step explanation:

This came right from Edg

Answer:

88 inches

Step-by-step explanation:

We are finding the perimeter of the stop sign, therefor we have to either multiply or add the value of 11. Since this sign is an octagon we will have to multiply by eight or add 11 eight times. This will give you an answer of 88 inches.

Answer:

88 inches

Step-by-step explanation:

The stop sign is in the shape of an octagon. An octogon has 8 sides. If each side is 11 inches you multiply 11 * 8 which is 88.

Answer:

7.5kilometer

Step-by-step explanation:

for 30mins semin runs 5kilometer

then for 1min: (1min×5kilometer)÷30mins,

therefore, for 45mins: (45mins×5kilometer)÷30mins=7.5kilometer

From the given information:

We are being informed that Samin can run for 5 kilometers in 30 minutes;

If Samin can run such a kilometer in 30 minutes;

5 kilometers = 30 minutes

∴

In x kilometers = 45 minutes

By cross multiplying;

(x × 30 minutes) = 5 kilometers × 45 minutes

30x = 225 kilometer/minutes

[tex]x = \dfrac{225 \ kilometer/minutes}{30 minutes}[/tex]

[tex]\mathbf{x = 7.5 \ kilometers}[/tex]

Therefore, we can conclude that the Samin can run 7.5 kilometers in 45 minutes.

Learn more about word problems here:

https://brainly.com/question/23542499?referrer=searchResults

Answer: 25882325

Step-by-step explanation:

Simply do 4585*5645 in a calculator.

hope it helps <3

Answer:

Hey there!

The answer is 25882325.

Hope this helps :)

Answer:

Half of its original

Step-by-step explanation:

When multiplying a denominator by a whole number, he value decreases accordingly, in other word, it changes inversely.

Examples:

In 1/2, if 2 is multiplied by 2, the value becomes 1/4, which is half of 1/2

In 1/4, if 4 is multiplied by 2, the value becomes 1/8 which is half of 1/4.

Hope this helps

Good luck

Step-by-step explanation:

Hello!!!

Given, VXW is a Right angled triangle where WV =4 and XV =5.

now, by taking reference angle as angle W, and using tangent we get;

p=5

b=4

again,

tan thita =p/b

tan thita = 5/4

so, tan thita =1.25.

now, to find angle W, we should do tan thita inverse;

or, (tan thita)-1= tan thita-1(1.25)

or, (tan thita) -1 =51.3401°.

Now, by rounding off we get,

tan thita (angle W )= 51°.

Hope it helps....

Answer:

[tex]24 units^2[/tex]

Step-by-step explanation:

Well we can divide the given polygon into smaller triangles.

The triangle on the upper right corner has a base of 4 units and a height of 3 units.

So we use the following formula,

[tex]\frac{b*h}{2}[/tex]

4*3 = 12

12 / 2 = 6 units^2

Now we can do the bottom triangle.

It has a base of 4 units and a height of 1 unit.

So 4*1 = 4

4 / 2 = 2 units^2

Now for the top left triangle.

It has a base of 4 units and a height of 2 units.

So 4*2 = 8

8 / 2 = 4 units^2

Now all we have is the middle part.

Its a triangle with a base of 4 units and a height of 2 units.

So 4*2 = 8

8 / 2 = 4 units^2

6 + 2 + 4 + 4 = 16 units^2

Thus,

after adding everything up the total area of the polygon is 16 units^2.

Hope this helps :)

Answer:

a]2.3 hrs

b]3.6hrs

Step-by-step explanation:

4hrs = 12 miles

x       =  7miles

4 x 7=28/12=2.3

4 x 11=44/12=3.6hrs

Answer:

Below in bold.

Step-by-step explanation:

His rate of walking =  12/4 = 3 miles per hour.

So the times for 7 and  11 miles are

(a)  7/3 = 2 1/3 hours.

(b) 11/3 = 3 2/3 hours.

Answer:

0.897

Step-by-step explanation:

Brahmagupta formula for quadratic equation [tex]ax^2+bx=c[/tex] is

[tex]x=\dfrac{\sqrt{4ac+b^2}-b}{2a}[/tex]

It involved only one solution.

The given equation is

[tex]3x^2+4x=6[/tex]

Here, a=3, b=4 and c=6. Put these values in the above formula.

[tex]x=\dfrac{\sqrt{4(3)(6)+(4)^2}-4}{2(3)}[/tex]

[tex]x=\dfrac{\sqrt{4(3)(6)+(4)^2}-4}{2(3)}[/tex]

[tex]x=\dfrac{\sqrt{72+16}-4}{6}[/tex]

[tex]x=\dfrac{\sqrt{88}-4}{6}[/tex]

[tex]x\approx \dfrac{5.38}{6}[/tex]

[tex]x\approx 0.897[/tex]

Therefore, the required solution is 0.897.

Answer:

5

Step-by-step explanation:

5