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3 years ago

Can you please answer this

Mathematics

1 answer:

gogolik [260]3 years ago

8 0

Step-by-step explanation:

If ^A=70, then ^A=^B

Reason being ADııBC or Alternate Angles

if ^D=105,^C=105

Because ADııBC or Alternate Angles

if ^B=2x-6 and ^A=82 then...

x=2x-6=82

TRANSPOSE (remember that signs change)

2x=82+6

2x/2=88/2

x=44

if^C=2(y+4) and ^D=116 then...

^C=^D

2(y+4)=116

(2×y)+(2×4)=116

2y+8=116

TRANSPOSE

2y=116-8

2y/2=108/2

y=54

if ¯AC=56cm then ¯DB

¯AC=¯DB

because ADııBC

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The actual length (1) of a rectangle is 122 inches. Use the scale drawing of the rectangle to find the actual width (w).

Natalija [7]

Answer:

B. 36 in.

Step-by-step explanation:

Length of the scale drawing (L) = 6.1 in.

Width of the scale drawing (W) = 1.8 in.

Actual length = 122 in.

Using the scale drawing we can apply the rules of three of proportions to find the actual width.

Thus, set the ratio of the scale drawing length to width, equal to the ratio of the actual length to width:

$\frac{6.1}{1.8} = \frac{122}{x}$

Cross multiply

$6.1*x = 122*1.8$

Divide both sides by 6.1

$x = \frac{122*1.8}{6.1}$

$x = 36$

Actual width of the rectangle = 36 in.

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3 years ago

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A submarine travels N45 W 16 miles. It then turns a course of 216 measured clockwise off of due north and travels until it is du

lozanna [386]

Answer:

19.5 miles

Step-by-step explanation:

The question is represented in the image attached.

∠A = 45°, ∠B = 45° + (216° - 180°) = 81°

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

45° + 81° + ∠C = 180°

126 + ∠C = 180

∠C = 180 - 126

∠C = 54°

The sine rule states that for a triangle with sides a, b, c and their corresponding opposite angles A, B and C. The following rule holds:

$\frac{a}{sin(A)}= \frac{b}{sin(B)}= \frac{c}{sin(C)}$

b = length of beginning of submarine to end point. Using sine rule:

$\frac{b}{sin(81)} =\frac{16}{sin(54)} \\\\b=\frac{16}{sin(54)}*sin(81)\\\\b=19.5\ miles$

7 0

3 years ago

Y=3x^2+30x+81<br> What is the vertex of this

ahrayia [7]

(-5,6) is the vertex.

I did this by using the vertex x coordinate Formula which is -b/2a

So in this case a=3 b=30 c=81

So if put the number in it would be
-30/2(3) = -30/6 = -5
Now that we know the x coordinate of the vertex which is -5. You plug the x of -5 into the quadratic equation to get the y.

3(-5)^2 + 30(-5) + 81=y

Simplify it

75-150+81= Y

Combine the light terms

6=y

So the coordinate points are (-5,6)

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3 years ago

It takes a printer 21 2 min to print 24 black-and-white pages and 4 color pages. It takes the same printer 31 4 min to print 30

kompoz [17]

Multiply the first equation by 1.5, to get:

(1.5)(24b+4c)+ 1.5 (2.5)

36b + 6c+ 3.75

Subtract the secound equation from this:

6b+ 1/2

b= 1/12

Substituting into the first equation:

24b + 4c +2.5

24* (1/12) +4c +2.5

2+4 +2.5

4c+o.5

c+ 1/8

Therefore, it takes 1/12 minute to print a black-and-white page, and 1/8 minute to print a colored page.

5 0

3 years ago

Can you please answer this ​

Can you please answer this