Find m<1
Please please

Answer:

Option C.

Step-by-step explanation:

In the given figure C is the center of the circle.  

Let A and B are two points on the circle, such that

[tex]\angle A=a^{\circ},\angle B=b^{\circ}[/tex]

Since CA and CB are radius of the circle, therefore ABC is an isosceles triangle.

[tex]\angle A=\angle B=a^{\circ}[/tex]

Using angle sum property,

[tex]\angle A+\angle B+\angle C=180^{\circ}[/tex]

[tex]a^{\circ}+a^{\circ}+\angle C=180^{\circ}[/tex]

[tex]2a^{\circ}=180^{\circ}-\angle C[/tex]

Divide both sides by 2.

[tex]a^{\circ}=\dfrac{180^{\circ}-\angle C}{2}[/tex]

It is given that

[tex]30<C<60[/tex]

[tex]\Rightarrow 180-30>180-C>180-60[/tex]     (Subtract from 180)

[tex]\Rightarrow 150>180-C>120[/tex]

[tex]\Rightarrow \dfrac{150}{2}>\dfrac{180-C}{2}>\dfrac{120}{2}[/tex]      (Divide by 2)

[tex]\Rightarrow 75>a>60[/tex]

[tex]\Rightarrow 60<a<75[/tex]

Hence, the correct option is C.

Answer:

100 x

Step-by-step explanation:

Answer:

[tex] {(2x + y)}^{2} - {(x - 2y)}^{2} [/tex]

[tex] < {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} > [/tex]

[tex] < {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} > [/tex]

[tex] {(2x)}^{2} + 2(2x)(y) + {(y)}^{2} - {(x)}^{2} - 2(x)(2y) + {(2y)}^{2} [/tex]

[tex] {4x}^{2} + 4xy + {y}^{2} - {x}^{2} - 4xy + {4y}^{2} [/tex]

[tex] {4x}^{2} - {x}^{2} + {4y}^{2} + {y}^{2} [/tex]

[tex] = {3x}^{2} + {5y}^{2} [/tex]

Hope this will help u...

Look at the attached picture⤴⤴

Answer:

45.1

Step-by-step explanation:

The original amount is 82

But the wrong amount is 45

So we will have to calculate the percentage for the error

82-45

37

So %error= 37/82 ×100

=3700/82

=45.121~45.1( to nearest tenth)

So the final answer is 45.1%

Answer:

c.4.5 and 5.5

Step-by-step explanation:

Answer:

5.75 and 6.25

Step-by-step explanation:

i had it on a test

Answer:

1542 millimeters or 15.42.42 centimeters

Step-by-step explanation:

The initial length being 2m converted to millimeters will mean we multiply by 1000 since

1m=1000mm

Therefore, 2m will be 2*1000=2000 mm

Part used was 458mm hence to get the remaining part we get the difference as follows

2000 mm -458 mm=1542 mm

Therefore, the length that can be used now is 1542 mm or 15.42 cm

Answer:

im not sure but it might be 75

Step-by-step explanation:

Answer:

3.8m

Step-by-step explanation:

Since Lara is putting lace trim around the border of a circular tablecloth, by the time she finishes she has covered the circumference.

The circumference of a circle is calculated using:

[tex]C=\pi \: d[/tex]

where d is the diameter of the circle.

It was given that the diameter of the circular table cloth is 1.2 meters.

[tex]C=3.14 \times 1.2[/tex]

[tex]C=3.768[/tex]

Therefore the length of the lace she needed is 3.8m

Final answer:

Lara will need 3.8 meters of lace trim for the border of her circular tablecloth, after rounding to the nearest tenth.

Explanation:

The student is asking about the circumference of a circle, which is the total length around the circle. Given the diameter of the tablecloth as 1.2 meters, the circumference can be found using the formula C = πd, where C is the circumference and d is the diameter. The value of π (pi) is approximately 3.14. So the length of lace Lara needs is C = 3.14 × 1.2 meters = 3.768 meters. After rounding to the nearest tenth of a meter, Lara would need 3.8 meters of lace trim.

Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

[tex]y = 3x - 2.[/tex]

[tex]10(x + \frac{3}{5} ) = 2y[/tex]

A. [tex]y = 5x + \frac{3}{10}[/tex]

B. [tex]y = 5x + 3[/tex]

C. [tex]y = \frac{1}{5} x + \frac{3}{25}[/tex]

D. [tex]y = \frac{1}{2} x + 6[/tex]

Answer:

B. [tex]y = 5x + 3[/tex]

Step-by-step explanation:

Given

Equation 1: [tex]y = 3x - 2.[/tex]

Equation 2: [tex]10(x + \frac{3}{5} ) = 2y[/tex]

Required:

Equivalent of equation 2

To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2

[tex]10(x + \frac{3}{5} ) = 2y[/tex]

Open the bracket

[tex]10*x + 10 *\frac{3}{5} = 2y[/tex]

[tex]10x + \frac{30}{5} = 2y[/tex]

Simplify fraction

[tex]10x + 6 = 2y[/tex]

Divide through by 2

[tex]\frac{10x}{2} + \frac{6}{2} = \frac{2y}{2}[/tex]

[tex]5x + 3 = y[/tex]

Re-arrange

[tex]y = 5x + 3[/tex]

The next step is to compare each of option A through D with [tex]y = 5x + 3[/tex]

A.

[tex]y = 5x + \frac{3}{10}[/tex] is not equal to [tex]y = 5x + 3[/tex]

We check the next available option

B.

[tex]y = 5x + 3[/tex] is equal to [tex]y = 5x + 3[/tex]

This option is equivalent to the second equation in slope-intercept form.

We check further if there are more equivalent options

C.

[tex]y = \frac{1}{5} x + \frac{3}{25}[/tex]

Convert fraction to decimal

[tex]y = 0.2x + 0.12[/tex]

This is not equal to [tex]y = 5x + 3[/tex]

D.

[tex]y = \frac{1}{2} x + 6[/tex]

Convert fraction to decimal

[tex]y = 0.5x + 6[/tex]

This is not equal to [tex]y = 5x + 3[/tex]

Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B

Answer:

The answer is B

Step-by-step explanation:

Can i have Brainliest

Answer:

The correct answer is 2 and -11

Step-by-step explanation:

Answer: 28 flowers

Step-by-step explanation: if the ratio is 5 : 2 that means that the ratio was multiplied by four to get 20 for the number of lilies . multiply 2 times 4 to get 8 and then add that to the totally number of lilies to get 28 flowers in total .

There are 28 flowers in her garden.

Ratio of flowers lilies to daises are 5:2, Number of lilies  = 20 by this information total number of flowers in Mrs. Gomez to be determine.

The ratio can be defined as between two quantity the quantity of 1 present relative to quantity 2.

Let there are "d" number of daises in garden, than ratio can be.
20/d = 5/2
d = 8
Number of daises = 8
Now,
Total number of flowers = 20+8
                                         =  28

Thus, there are 28 flowers in her garden.

Learn more about Ratio here:

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Answer:

Inequality Form:

−30<x<16

Interval Notation:

(−30,16)

Step-by-step explanation:

Answer:

a.

Clear Prints = [tex]2p[/tex]

Sue = [tex]15 + 0.5p[/tex]

b.  10 posters

c.  See Below

d.  Clear Prints

e. See Below

Step-by-step explanation:

Complete Question:

Ms. Chang’s class decides to order posters that advertise a walkathon to raise money for a local charity. Ichiro obtains quotes from two different companies.Clear Prints charges $2 per poster. Posters by Sue charges $15 plus $.50 per poster.

a. For each company, write an equation Ichiro could use to calculate the cost for any number of posters.

b. For what number of posters is the cost the same for both companies? Explain.

c. Which company do you think the class should buy posters from? Explain your reasoning.

d. If Ms. Chang’s class has an $18 budget for posters, which company do you think the class should buy posters from?

e. If Ms. Chang donates an additional $10 for ordering posters, does it impact the decision made? What factors influenced your decision?

Solution:

a.

Let the number of posters be "p" so

Clear Print would take 2 * p or "2p"

Sue would take a fixed cost of $15 and 0.5p, so "15 + 0.5p"

b.

We want cost of both to be same. So we can equate:

[tex]2p=15 + 0.5p[/tex]

Now, using algebra, we can solve for "p", the number at which both of the printers will cost same. Lets do this:

[tex]2p=15 + 0.5p\\2p-0.5p=15\\1.5p=15\\p=10[/tex]

So, for 10 posters, the cost of both will be same

c.

It depends.

If the number of posters they order is LESS THAN 10, they should order from Clear Prints. If the number of posters they print is "10", then they can choose any one of the printers since cost would be same. If they print more than 10 posters, then they should choose to go with Sue, as it will cost less.

d.

If the budget is $18, they can get:

Clear Prints = 18/2 = 9 posters made

Sue = 15 already gone as fixed cost, so remaining is 18 - 15 = 3

At 0.5 per poster, 3/0.5 = 6 posters

So, taking Clear Prints would be better.

e.

The budget of 18 is increase by 10, so the budget is:

18 + 10 = $28

From clear prints, you can get:

28/2 = 14 posters

From Sue, you can get:

28 - 15(fixed cost) = 13 left for posters

13/0.5 = 26 posters

Definitely, Sue gives more, so decision made at $18 budget to get Clear Prints would be impacted because they should now go with Sue since it will give them better deal and more posters.

The possible solutions are -3 and 7, and the extraneous solution is x = -3,

From the steps shown, the last step is:

[tex]0 = (x + 3)(x - 7)[/tex]

Rewrite as:

[tex](x + 3)(x - 7)=0[/tex]

Split

[tex](x + 3)=0\ or\ (x - 7)=0[/tex]

Remove brackets

[tex]x + 3=0\ or\ x - 7=0[/tex]

Solve for x

[tex]x =-3\ or\ x =7[/tex]

So, the possible solutions are -3 and 7

Substitute -3 and 7 for x in the original equation to determine the extraneous solution.

[tex]\sqrt{30 - 2x}= x - 3[/tex]

[tex]\sqrt{30 - 2(-3)}= -3 - 3[/tex]

[tex]\sqrt{36}= -6[/tex]

Take square root of 36

[tex]6= -6[/tex]

[tex]\sqrt{30 - 2x}= x - 3[/tex]

[tex]\sqrt{30 - 2(7)}= 7- 3[/tex]

[tex]\sqrt{16}= 4[/tex]

Take square root of 16

[tex]4= 4[/tex]

Hence, the extraneous solution is x = -3, because [tex]6 \ne -6[/tex]

Read more about extraneous solutions at:

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The both the correct answer's displayed in the image below.

Answer:

No

Step-by-step explanation:

La pagina e bloccata

9514 1404 393

Answer:

  see the attachment

Step-by-step explanation:

The relationship between speed, distance, and time is ...

  speed = distance/time

  distance = speed×time

__

Use the given time & distance to find the speed. Apparently, we're to assume the speed remains constant, so the remaining distances will be the product of speed and time.

The plane flies 610 miles in one hour.

The price of the 4rth item is $0.50.

The three prices add to 1.50 + 3.00 + 4.00 = $8.50.

The three prices multiply to 1.50 x 3.00 x 4.00 = $18.00.

You might see that adding another $0.50 will take the total to $9.00, and multiplying by another $0.50 will take the product to $9.00 also, but the answer can also be found using algebra. Let's call the unknown price P:

1.50 + 3.00 + 4.00 + P = 1.50 x 3.00 x 4.00 x P

8.50 + P = 18.00 x P

8.50 = 18.00 x P - P

8.50 = 17.00 x P

8.50/17.00 = P

P = 0.50.

Problem-solving is defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

Learn more about Problem-solving here: brainly.com/question/23945932

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Final answer:

To solve the puzzle, we create an equation with the fourth price as 'x' and set the sum of the prices equal to the product of the prices. After simplifying, we find that the fourth item must cost $2.00 to satisfy the condition.

Explanation:

The student is faced with a mathematical puzzle involving the addition and multiplication of prices of items purchased. The condition is that the prices added together equals the product of the prices. Given three of the prices as $1.50, $3.00, and $4.00, let us assume the price of the fourth item is x. Therefore:

The equation to solve is:

$1.50 + $3.00 + $4.00 + x = $1.50 × $3.00 × $4.00 × x

Simplifying the equation:

$8.50 + x = $18.00 × x

Subtracting $8.50 from both sides gives us:

x = $18.00 × x - $8.50

Dividing both sides by x:

1 = $18.00 - $8.50 / x

Finally, solving for x:

x = $18.00 / ($18.00 - 1)

x = $2.00

Thus, the price of the fourth item is $2.00.

Given:

Intersecting lines DA and CE.

To find:

Each pair of adjacent angles and vertical angles.

Solution:

Adjacent angles are in the same straight line.

Pair of adjacent angles:

(1) ∠EBD and ∠DBC

(2) ∠DBC and ∠CBA

(3) ∠CBA and ∠ABE

(4) ∠ABE and ∠EBD

Vertical angles are opposite angles in the same vertex.

Pair of vertical angles:

(1) ∠EBD and ∠CBA

(2) ∠DBC and ∠EBA

Answer:

m∠A = m∠2

Step-by-step explanation:

38° + m∠2 + 108° = 180°

The above statement is true because the sum of angles on a straight line is 180°

m∠A + 108° + 34° = 180°

This is also true because the sum of angles in a triangle is 180°.

m∠A = m∠2

This statement is false because 34°≠32°

m∠2 = 34°

This statement is true because:

m∠2 = 180-38-108=34°

Answer:

C. m∠A = m∠2

Step-by-step explanation:

Placing the interior angles of a triangle adjacent to each other forms a straight angle.

Thank me if you learned from me and give me 5 stars it it is right!

y=0.25x

Step-by-step explanation:

the initial statement is

y

∝

x

to convert to an equation multiply by k the constant of

variation

⇒

y

=

k

x

to find k use the given condition

y

=

0.5

when

x

=

2

y

=

k

x

⇒

k

=

y

x

=

0.5

2

=

0.25

Answer:

y=2.5

Step-by-step explanation:

Proportion

(2/.5)=(10/y)

Answer:

square root of 80 or about 8.9 feet

Step-by-step explanation:

Use the Pythagorean Theorem:

8 squared times 4 squared=80

=square root of 80

Answer:

523.3 cubic centimeters

Step-by-step explanation:

I'm assuming you mean sphere, not square.

Volume of a sphere:

V = 4/3 * πr^3

Plug in our value for radius:

V = 4/3 * π5^3

Simplify:

V = 4/3 * 3.14 * 125 = 523.3 cubic centimeters

Answer:

The answer is actually A) -8.53

Step-by-step explanation:

The line of best fit has equation y = 2.1x - 0.55, so plugging in x = -3.8 yields -8.53 for y.  I just did my USATestprep and this was the answer.

Answer:

333 cubic inches

Step-by-step explanation:

Hello, I can help you with this.

according to the question the maximum diameter of a bowling ball is 8.6 inches.

[tex]D_{max}=8.6 inches\\[/tex]

Step one

using this equation find the radius of the ball

remember

Diameter=2*radius

diameter/2= radius

put the value into the equation

8.6 inches/2= radius

radius=4.3 inches

Step two

using the known radius , find the volume

the volume of a sphere is given by

[tex]V=\frac{4}{3}\pi *radius^{3}[/tex]

put the value of radius into the equation

[tex]V=\frac{4}{3}\pi *(4.3\ in) ^{3} \\\\V=\frac{4}{3}\pi *79.507\ in ^{3}\\V=333.03 in ^{3}[/tex]

so,  the volume to the nearest tenth of a bowling ball with this diameter is 333 cubic inches.

I hope it helps, have a good day.

Answer:

The volume of the bowling ball to the nearest tenth is v ≈ 106.0π in³ in terms of π  or v≈332.9 in³

Step-by-step explanation:

To find the volume of the bowling ball, we will follow the steps below;

First write down the formula for calculating the volume of a sphere

v=[tex]\frac{4}{3}[/tex]πr³

where v = volume of the ball   and  r = radius of the ball

From the equation given, the diameter of the ball is 8.6 inches but radius is half of diameter, this implies that r= d/2 = 8.6/2 = 4.3, that is; radius=4.3 inches.

Let substitutes the value into the equation

v=[tex]\frac{4}{3}[/tex]×π×(4.3)³

v = [tex]\frac{4}{3}[/tex]×π×79.507

v =106.009π

v ≈ 106.0π in³

we can take π=3.14

v = 106.009×3.14

v =332.86826

v≈332.9 in³

The volume of the bowling ball to the nearest tenth is v ≈ 106.0π in³ in terms of π  or v≈332.9 in³

Answer:

V=-11

Step-by-step explanation:

V + 6/2 = -8

You simplify the 6/2 PEMDAS

V + 3 = -8

You subtract 3 from both sides PEMDAS/isolate the variable/combine like terms

V = -11

Hope this will help u...

Answer:

145/12 or 12.08333333

​

Step-by-step explanation:

Answer:

350

Step-by-step explanation:

Y=25 X=25

x + y + 300 = ___

25 + 25 + 300 = 350

Answer:

350

Step-by-step explanation:

given that

y = 25

x = 25

in order to evaluate for the value of

x + y+ 300 = ?

25 + 25 + 300 =350

Answer:

32 1/4ft pieces

Step-by-step explanation:

To get the answer divide 8 by one-fourth:

4*8 = 32 pieces

Support me by selecting my answer as brainiest.

Answer: The answer to you question is 2

Step-by-step explanation:

Step one: Divide the 8 by 1/4

Step two: Simplify the amount you get (which should be 2)

Step three: Box your answer

6x²+60x+150=0

36x+60x= -150

96x= -150

x= -1.56

Answer: x= -5twice

Step-by-step explanation:

6x2+60x+150=0

Quadratic equation

But firstly,divide all by 6

6x2/6+60x/6+150/6=0

X2+10x+25=0

Variable of 25 that will give 10 is 5&5

Substitute

X2+5x+5x+25=0

X(x+5)+5(x+5)=0

(X+5)(x+5)=0

X+5=0

X= -5 twice