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docker41 [41]
11 months ago
14

Suppose angles a and B are the two acute angles in a right triangle and that b < a. Apply the relationship between sine and c

osine todetermine which statements are correct.sin(6x - 10) = cos(4x + 10)A)x = 9B)a = 46°a = 48°D)B = 42°E)B = 44
Mathematics
1 answer:
Valentin [98]11 months ago
5 0

The right statements are: A, B and E

Sin(A)=cos(B)

then we check if using x=9 this holds true:

sin(6x-10)=cos(4x+10)

sin((6*9)-10) = sin(44º)

cos(4x+10)=cos(46)

Sin(44)=0.694=cos(46)

then a is true

Now, we know that b

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What is the midpoint of (8,7) and (4,3)
Sergeu [11.5K]

Hello! The midpoint of (8,7) and (4,3) Is (7.5, 3.5)

Hope this helps! And have a great day!

6 0
3 years ago
Martha works on a farm. She can pick 122 pounds of strawberries a day. She gets
olga55 [171]

Answer:

1464

Step-by-step explanation:

12x122=1464

6 0
2 years ago
What is the area, in square centimeters, of the trapezoid below?<br> 8.5 cm<br> 7.5 cm<br> 15.7 cm
Contact [7]

Answer:

90.75 cm^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+b2) *h

where b1 and b2 are the lengths of the bases and h is the height

A = 1/2(8.5+ 15.7) * 7.5

1/2 (24.2) 7.5

90.75 cm^2

6 0
2 years ago
Colin &amp; Brian share a lottery win of £2100 in the ratio 4 : 1. Colin then shares his part between himself, his wife &amp; th
Paraphin [41]

Answer:

His wife gets $336 more than his son.

Step-by-step explanation:

Colin and Brian:

Ratio of 4:1.

So Colin gets \frac{4}{4+1} = \frac{4}{5} of the prize.

\frac{4*2100}{5} = 1680

Colin got $1680. Dividing between himself, his wife and their son:

Ratio of 2:5:3.

So Colin gets \frac{2}{2+3+5} = \frac{2}{10}, his wife gets \frac{5}{2+3+5} = \frac{5}{10} and his son gets \frac{3}{2+3+5} = \frac{3}{10}

Wife:

\frac{5*1680}{10} = 840

His wife got $840.

Son:

\frac{3*1680}{10} = 504

His son got $504.

How much more does his wife get over their son?

840 - 504 = 336

His wife gets $336 more than his son.

8 0
3 years ago
A piece of fabric is 1/3 yard by 3 5/8 yards. Irma solves 1/3⋅3 5/8 to find the area of the fabric in square yards. Enter number
Harlamova29_29 [7]

For this case we have:


The area of the piece of fabric is given by A = a * b


Where


a = \frac{1}{3}yards


b = 3 \frac{5}{8}yards


Substituting in the formula of the area we have:


A = \frac{1}{3}* 3 \frac{5}{8}\\

A = \frac{1}{3}* (3 + \frac{5}{8})\\

A = 1 + \frac{5}{24}


A = 1\frac{5}{24}yards ^ 2\\

Thus, the area of the piece of fabric is given by: A = 1\frac{5}{24}yards ^ 2\\

Answer:


A = 1\frac{5}{24}yards ^ 2\\

4 0
3 years ago
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