In the parallelogram shown, find the measure of ∠A.

➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0

➙ the given quadratic equation.

➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.

What is quadratic equation?

➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.

Now, what is quadratic formula?

➙The roots of a quadratic equation ax + bx + c = 0 are given by [tex]\sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}}[/tex] provided b - 4ac ≥ 0.

here as per the given quadratic equation,

a = 2, b = -1 and c = -6

putting in the formula,

[tex]\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}[/tex]

[tex]\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}[/tex]

[tex]\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}[/tex]

[tex]\implies\sf{x=\frac{1 \pm\: 7}{4}}[/tex]

Solving one by one,

[tex]\implies\sf{x=\frac{1 + \: 7}{4}}[/tex]

[tex]\implies\sf{x=\frac{8}{4}}[/tex]

[tex]\implies{\boxed{\bf{x=2}}}[/tex]

________________

[tex]\implies\sf{x=\frac{1 - \: 7}{4}}[/tex]

[tex]\implies\sf{x=\frac{-6}{4}}[/tex]

[tex]\implies{\boxed{\bf{x=\frac{-3}{2}}}}[/tex]

________________________________

Note - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.

________________________________

Hope it helps!! (:

Answer:

Here is your answer

Step-by-step explanation:

Solution,

here,

Base is 75 cm

Height is 12 cm

Now,

Area of triangle=1/2×b×h

=1/2×75×12

= 900/2

=450. ans

Answer:

  6 cm

Step-by-step explanation:

A diameter of a circle is a line segment that connects one side of the circle to the other, passing through the center.

The distance from the center to any point on the circle is the radius. So, a diameter is the sum of a radius to one side of the circle and a radius to the other side of the circle. (The circle center is the midpoint of the diamter.)

The diameter is twice the radius:

  d = 2 × (3 cm) = 6 cm

The dial's diameter is 6 cm.

Answer:

[tex]A.\,\orange{ \bold{ \frac{x - 3}{3x + 1} }}[/tex]

Step-by-step explanation:

[tex] \frac{x + 2}{ {x}^{2} + 5x + 6 } \div \frac{3x + 1}{ {x}^{2} - 9} \\ \\ = \frac{x + 2}{ {x}^{2} + 3x + 2x+ 6 } \div \frac{3x + 1}{ {x}^{2} - {(3)}^{2} } \\ \\ = \frac{\cancel{x + 2}}{ \cancel{{({x}+ 3)}} \cancel{(x+ 2) }} \times \frac{\cancel{( {x} + 3)}( {x} - {3)}}{3x + 1} \\ \\ = \purple{ \bold{ \frac{x - 3}{3x + 1} }}[/tex]

Answer:

80 893 720

Step-by-step explanation:

hope dis helps!!!!

Answer:

   16.5 ≈ x

Step-by-step explanation:

We have a right triangle where we know 1 side, 1 angle and we need to find another side. We can use trigonometric functions to find the missing side.

The tangent function definition is

tan α = opposite side/ adjacent side

In our problem

   tan 70° = x/ 6, multiply both sides by 6 to isolate x

6 · tan 70° = x, use the calculator (make sure is set in degrees)

    16.4848 ≈ x , round to the nearest tenths

         16.5 ≈ x

Answer:

883.125

Step-by-step explanation:

First, use the formula for volume of a sphere (4/3 * pi * r^3) to get the volume of the full sphere, then divide it by 2 to get the volume of half of the sphere.

Hopefully this helps- let me know if you have any questions!

Answer:

A

Step-by-step explanation:

Hope this helped

Explanation:

Divide the number of times orange shows up (33) over the number of total spins (100). Reduce the fraction if possible. In this case, 33/100 is fully reduced because 33 and 100 have no common factors other than 1.

Answer:

A ≈ 160 cm²

Step-by-step explanation:

the area (A) of a parallelogram given adjacent sides a and b and angle Θ between them is

A = absinΘ

here a = 12 , b = 15 and Θ = 117° , then

A = 12 × 15 × sin117° ≈ 160 cm²( to the nearest cm² )

in∆BDC

use sine rule for area

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}absinC[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(12)(15)sin117[/tex]

[tex]\\ \rm\rightarrowtail 90(0.89)[/tex]

[tex]\\ \rm\rightarrowtail 80.1m^2[/tex]

Answer: 26 degrees

Step-by-step explanation:

An interior angle and its exterior angle are supplementary.

Answer:

126

Step-by-step explanation:

the number of cargo cars is represented by the 35 part of the ratio , then

105 ÷ 35 = 3 ← value of 1 part of the ratio , then

passenger cars = 7 × 3 = 21

total cars = 105 + 21 = 126

The equation that can be used to determine the volume of the sphere is 4/3π10³

A sphere is a three-dimensional object in which points from its center to its circumference is equidistant.

Volume of a sphere = 4/3πr³

Where:

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

Answer: 33.88 meters

Step-by-step explanation:

1. 2

2. 2
3. 4

4. 3 and 1

5. C

6. B

7. C and D

8. 3

9. 1 and 4

10. C

11. 2

12. D

You're Welcome✌! Brainliest would mean a lot.

Answer: 4.5

Step-by-step explanation:

6 x 3/4 = 18/4 divided that and it equals 4.5

Answer:

The value x would equal to 2
11 divided by 5.5 = 2
5.5 x 2 =11

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

7 pigs, 16 chickens

Step-by-step explanation:

p= pigs, c= chickens, legs= 60, number of pigs & chickens= 23

System of Equations:

Then, use substitution & solve:

Now, plug [tex]p=7[/tex] back into [tex]23-p=c[/tex] to get c

Answer: 7 pigs, 16 chickens or [tex]p=7[/tex] and [tex]c=16[/tex]

------

(I hope that helps & good luck! <3)

Answer:

Step-by-step explanation:

Givens

V = 75716

pi = 3.14

r = ?

Formula

V =  (4/3) pi * r^3

Solution

75716 =  (4/3) * 3.14 * r^3              Multiply both sides by 3/4

75716 * 3/4 = 3.14 * r^3

56787 = 3.14 r^3                           Divide by 3.14

56787 / 3.14 = 3.14 * r^3/3.14

18085 = r^3

∛18985 = ∛ r^3

r = 26.25

Answer:

The standard form of a linear equation is Ax + By = C. When we want to find the slope of the line represented by this equation, we have two options. We can put the equation in slope-intercept form and identify the slope that way, or we can use the formula m = -A/B.

Answer:

m = -A/B

The standard form of a linear equation is Ax + By = C.

[tex]hope \: it \: will \: help \: [/tex]

Answer:

146.7

Step-by-step explanation:

The equation for finding the volume of a pyramid is [tex]V = \frac{l w h}{3}[/tex].
For this pyramid, the height is 8, the width is 5, and the length is 11.
[tex]\frac{11x5x8}{3}[/tex]=146.67
146.67 rounded to the nearest tenth = 146.7.

Answer:

1/2

Step-by-step explanation:

Let H = the possible outcomes that include flipping heads

Let T = the possible outcomes that include flipping tails

In order to have an outcome of two coins having tails, that means for each outcome, you must have at least two T's.

Therefore, the possible outcomes are:

(H, T, T)

(T, H, T)

(T, T, H)

(T, T, T)

This is 4 possible outcomes, and since we want to find the probability we find the total number of outcomes and make a fraction.

[tex]4/8 = 1/2[/tex]

There are 8 outcomes, and since 4 work for this scenario, the answer is 1/2.

#LearnWithBrainly

Answer:

4 weeks

Step-by-step explanation:

original base amount 150 200

1st week deposit 175 210

2nd week deposit 200 220

3rd week deposit 225 230

4th week deposit 250 240

Answer:

Let a = side length of a cube

Let S = surface area of a cube

Area of a square = a²

Since a cube has 6 square sides:  S = 6a²

To make a the subject:

S = 6a²

Divide both sides by 6:

[tex]\sf \implies \dfrac{S}{6}=a^2[/tex]

Square root both sides:

[tex]\sf \implies a=\sqrt{\dfrac{S}{6}}[/tex]

(positive square root only as distance is positive)

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[tex]\sf x=-3-\sqrt{2} \implies (x+[3+\sqrt{2}])=0[/tex]

[tex]\sf x=-3+\sqrt{2} \implies (x+[3-\sqrt{2}])=0[/tex]

Therefore,

[tex]\sf y=a(x+[3+\sqrt{2}]) (x+[3-\sqrt{2}])[/tex]  for some constant a

Given the y-intercept is at (0, -5)

[tex]\sf \implies a(0+3+\sqrt{2}) (0+3-\sqrt{2})=-5[/tex]

[tex]\sf \implies a(3+\sqrt{2}) (3-\sqrt{2})=-5[/tex]

[tex]\sf \implies a(9-2)=-5[/tex]

[tex]\sf \implies 7a=-5[/tex]

[tex]\sf \implies a=-\dfrac57[/tex]

Substituting found value of a into the equation and simplifying:

[tex]\sf y=-\dfrac57(x+[3+\sqrt{2}]) (x+[3-\sqrt{2}])[/tex]

[tex]\sf \implies y=-\dfrac57(x^2+6x+7)[/tex]

[tex]\sf \implies y=-\dfrac57x^2-\dfrac{30}{7}x-5[/tex]

The area of the vase lies between the area [tex]135\ cm^2[/tex] and [tex]155\ cm^2[/tex] will be [tex]153.86\ cm^2[/tex].

As we know that the area of the circle is given by the formula

[tex]A=\pi r^2[/tex]

So now from the question, we will find the radius for both the given areas.

Radius for the first area

[tex]r=\dfrac{A}{\pi} =\dfrac{135}{\pi} =6.56\ cm[/tex]

Radius for the second area

[tex]r=\dfrac{A}{\pi} =\dfrac{155}{\pi} =7.03\ cm[/tex]

Now we can see the range of the radius lies

[tex]6.56\leq r\leq 7.03[/tex]

The radius must be r=7 cm lie between two quantities.

Then the area at r= 7cm will be

[tex]A=\pi r^2[/tex]

[tex]A=\pi\times 7^2=153.86\ cm^2[/tex]

Thus the area for the vase will be [tex]A=153.86\ cm^2[/tex] ar radius r= 7 cm

To know more about the Area of the circle follow

https://brainly.com/question/24375372

Using proportions, it is found that the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].

A proportion is a fraction of a total amount.

In this problem, each pound of candy costs $6, and he will buy at most 9 pounds, hence the maximum amount he will spend is given by:

M = $6 x 9 = $54.

Hence, the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].

More can be learned about proportions at https://brainly.com/profile/joaobezerra-15918078

The Critical z-values are -1.96 and 1.96 option second is correct.

It is given that the teachers were allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes.

It is required to find the critical z-values.

It is defined as the area region enclosed by the standard normal curve or bell curve. It gives an idea about every variable, and what value of probability the variables acquire.

We are assuming the data given below:

x = 3.5

[tex]\mu =3.3[/tex]

[tex]\sigma = 0.6[/tex]

n = 40

We know the formula for the Z score:

[tex]\rm Z = \frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

[tex]\rm Z = \frac{3.5-3.3}{\frac{0.6}{\sqrt{40} } }[/tex]

Z = 2.10

The area under the normal distribution curve:

P(Z= 2.10)  = 0.9821   ( from the z table)

We have null hypothesis H0: in the two groups, the level of job satisfaction is the same ie. with no difference.

H1: There is a significant difference in levels of job satisfaction.

The above hypothesis defined that the test is two-tailed which means there will be two rejection regions.

The critical z-values are:

-1.96 and 1.96  (from the critical value calculator at a 5% significance level with two-tailed)

Thus, the Critical z-values are -1.96 and 1.96 option second is correct.

Learn more about the critical value here:

https://brainly.com/question/13686040

Answer:

A. False

B. True

C. False

D. True

E. False