Construct a triangle ABC in which AB = 7.5 cm,angle A=60° and angle B=30°.Find the measure of angle C.What type of triangle is ABC?

Answer:

[tex]y=\frac{1}{4}x +3[/tex]

Step-by-step explanation:

slope (rise over run) choose 2 points that are easy to figure out. Count up and over to get the slope

(0,3) and (4,4)

3 to 4 is 1

0 to 4 is 4

slope is 1/4

y intercept is b- so +3

y=[tex]y=\frac{1}{4} x+3[/tex]

Given:

The equation is

[tex]y=x^2+2x+1[/tex]

where y is the total square inches of tissue paper and x is the side length of the canvas in inches.

To find:

The side length of the canvas is Martha needs 49 square inches of tissue paper.

Solution:

We have,

[tex]y=x^2+2x+1[/tex]

Putting y=49, we get

[tex]49=x^2+2x+1[/tex]

[tex]0=x^2+2x+1-49[/tex]

[tex]0=x^2+2x-48[/tex]

Splitting the middle term, we get

[tex]0=x^2+8x-6x-48[/tex]

[tex]0=x(x+8)-6(x+8)[/tex]

[tex]0=(x+8)(x-6)[/tex]

Using zero product property, we get

[tex]x+8=0[/tex] and [tex]x-6=0[/tex]

[tex]x=-8[/tex] and [tex]x=6[/tex]

Side length cannot be negative. So, only possible value of x is 6.

Therefore, Martha needs 6 inches side length of the canvas for 49 square inches of tissue paper.

Answer:

2 - 30ft²

3 - 57yd²

Step-by-step explanation:

Hey There!

The first step in solving this problem is finding the formula for area of a trapezoid

[tex]A = \frac{a+b}{2} h[/tex]

a = base 1

b = base 2

h = height

For the first one the dimensions are

a = 6

b = 9

h = 4

now we just plug in the values

[tex]A=\frac{6+9}{2} 4\\6+9=15\\\frac{15}{2}=7.5\\7.5*4=30[/tex]

so the area of the first trapezoid is 30 ft²

For the second one the given dimensions are

a = 8

b = 11

h = 6

now we just plug in the values

[tex]A=\frac{8+11}{2} 6\\8+11=19\\\frac{19}{2} =9.5\\9.5*6=57[/tex]

so the area of the second trapezoid is 57 yd²

Answer: Convex

Step-by-step explanation  

The difference between convex and concave polygons lies in the measures of their angles. Another way to think of it is this: the diagonals of a convex polygon will all be in the interior of the polygon, whereas certain diagonals of a concave polygon will lie outside the polygon, on its exterior .Also If the interior angles of of the polygon are less than 180 degrees, then the polygon is convex. But if any one of the interior angles is more than 180 degrees, then the polygon is concave. T∴×∴T that was a lot

Answer:

18 miles per hour is an outlier

the outlier decreases the mean speed

Step-by-step explanation:

the low number of 18 is way different from the other numbers being in the 30's and 40's

this 18 will bring the mean of all the numbers own because it is a smaller number.

Answer:

Step-by-step explanation:

Mean:44

Median:31

Mode:47

Answer:

x + 6

Step-by-step explanation:

If you dont know the value of x you cant solve the problem fully

Answer:

6+x

Step-by-step explanation:

2+(x+4)

=2+x+4

=6+x

Oh please first if the rectangle was compete, it's area would be 8.

The area of the missing triangle is [tex]\frac{2*2}{2}[/tex]=2.

8-2=6

And there you go! Your answer is 6.

Answer:Number of cellos  =7

Step-by-step explanation:

The ratio of cellos to violins is 1 to 3=1:3

Total ratio = 1+3=4

To find the total number of  cellos and violins in the orchestrs,

Ratio of violins/ Total ratio  x Total number of cellos and violins  = Number of violins

3/4  x X= 21

X=21 x 4 / 3

X =7x 4  28.

Number of cellos  =Ratio of cellos / Total ratio  x Total number of cellos and violins

=1/4 x28

=7 cellos

Answer:

Step-by-step explanation:

Mean= 5

Median= 4

Mode= No mode

Range= 9

Answer:

-0.82 is closest to -1, and -0.28 is closest to -1/4

Step-by-step explanation:

you can start by converting all of them to a fraction or decimal:

-0.28 = -28/100 = -7/25 = -14/50

-0.82 = -82/100 = -41/50

-1/5 = -10/50

-4/5 = -40/50

-1 = -50/50

-1/4 = -12.5/50

Answer:

A i hope its right

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

The answer is 4) 69.08 m

Step-by-step explanation:

Answer:

3a+13

Step-by-step explanation:

Add 5 and 8 together to get 13

Answer:

Inez ran the mile in 5 minutes and 20 seconds

Great had the fastest time.

Her mile was faster by 20 seconds.

Step-by-step explanation:

Area of circle formula: πr^2

Since the radius is half of the diameter, divide 38 by two.

r = 19 miles

A = π(19)^2 = π(361)

Now, substitute in 3.14 for π

A = 3.14(361) = 1133.54

Answer: A and C

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{x = 3}[/tex]

[tex]\large\textsf{Option A.}\downarrow\\\\\mathsf{x + 4 = 7}\\\mathsf{x = 3}\\\mathsf{3+4=7}\\\mathsf{3+4 =\bf 7}\\\mathsf{7 = 7}\\\\\\\large\text{Option A. could possibly be your answer}\checkmark[/tex]

[tex]\large\textsf{Option B. }\downarrow\\\\\mathsf{\dfrac{x}{9}=3}\\\\\mathsf{x = 3}\\\\\mathsf{\dfrac{3}{9}=3}\\\\\mathsf{\dfrac{3}{9}= \dfrac{1}{3}=\bf 0.333333}\\\\\mathsf{0.333333\neq 3}\\\\\large\text{Option B. is NOT your possible answer}[/tex]

[tex]\large\textsf{Option C. }\downarrow\\\mathsf{5-x =2}\\\mathsf{x = 3}\\\mathsf{5-3=2}\\\mathsf{5-3=\bf 2}\\\mathsf{2=2}\\\\\large\text{Option C. could possibly be your answer}\checkmark[/tex]

[tex]\large\textsf{Option D. }\downarrow\\\\\mathsf{8x = 32}\\\mathsf{x =3}\\\mathsf{8(3)=\bf 24}\\\mathsf{24\neq 32}\\\\\large\text{Option D. is NOT your possible answer}[/tex]

[tex]\large\textsf{Option E. }\downarrow\\\mathsf{x - 10=7}\\\mathsf{x =3}\\\mathsf{3-10=7}\\\mathsf{3-10=\bf -7}\\\mathsf{-7\neq7}\\\\\large\text{Option E. is NOT your possible answer}[/tex]

[tex]\boxed{\large\text{Answer: \boxed{\large\text{\bf Option A. x + 4 = 7 \& Option C. 5 - x = 2}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

x = -0.24 or 3.73

Step-by-step explanation:

[tex]\frac{-b + \sqrt{b^{2} -4ac } }{2a}[/tex] (There's supposed to be a ± between '-b' and the square root)

[tex]x^{2}[/tex] + 4x + 1 ( [tex]ax^{2} + bx + c[/tex] )

a = -1 ( there's no number before [tex]x^{2}[/tex] so its 1 )

b = 4

c = 1

Substitute into the quadratic equation.

[tex]\frac{-4 + \sqrt{4^{2} -4x1x-1 } }{2x-1}[/tex] ( the [tex]x[/tex] is just the multiplication sign )

=  [tex]\frac{-4 + \sqrt{{16} +4 } }{-2}[/tex]

[tex]\frac{-4 + \sqrt{{20} } }{-2}[/tex] = -0.24    [OR]     [tex]\frac{-4 - \sqrt{{20} } }{-2}[/tex] = 3.73

( The answers are to 2 decimal places )

Answer:

.40 cents

Step-by-step explanation:

Just simple divide 2.40/6 and when you get 0.4, add a 0 because it is money.

Answer:

0.40 cents

Step-by-step explanation:

You divide $2.40 by 6 and you get the answer 0.40 or 0.4

Answer:

Hi how are you doing today Jasmine

Answer:

Binomials are

(x-3)

(x-5)

(x+5)

Answer:

A

≈

50.27

ft²

Step-by-step explanation:

when the radius is 4 ft the area is 50.27 ft squared

Answer:

50.24

Step-by-step explanation:

Because i know

Answer:

A is correct answer

ok

now make me brainliest

Answer:

the link dosent work says it have bug in it

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

First you have to fined the unit rate

1,500/25= 60

Now your gonna do

300x60= 18,00

Answer:

₹14,946

Step-by-step explanation:

Tv s old for ₹14100

Deepak loses 6%

Purchase cost = Selling price + Loss cost

Purchase cost = ₹14100 + ₹14100(6%)

Purchase cost = ₹14100 + ₹846

Purchase cost = ₹14,946