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jolli1 [7]
3 years ago
12

What is the measure of angle B ?

Mathematics
1 answer:
alisha [4.7K]3 years ago
8 0

soh cah toa

cos (B) = 3/(3sqrt(2))

B = cos ^-1(3/(3sqrt(2)))

B = 45 degrees

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There are 120 five-digit numbers that can be made from the digits 1, 2, 3, 4, 5 if each digit is used once in the number. That s
Harman [31]

Answer:

41235

Step-by-step explanation:

There are 120 five-digit numbers that can be made from the digits 1, 2, 3, 4, 5 if each digit is used once in the number,

The total number of times where each number will occur or be at first place is calculated as:

4! = 4 × 3 × 2 × 1

= 24

Hence,

24th number = The last number where 1 is at first place

We can write this out as:

12345

12354

12435

12453

12534

12543

13245

13254

13425

13452

13524

13542 e.t.c.

48th number = The last number where 2 is at first place

72nd place = The last number where 3 is at first place.

This means, the 73rd number is the first number where 4 is at first place.

Therefore, the 73rd number based on pattern is 41235

8 0
3 years ago
Given: Rhombus ABCD. If mBAD is 64 degrees, then the mDCA is ___ degrees.
Marta_Voda [28]

Answer: 32 degrees

Step-by-step explanation:

6 0
2 years ago
The perimeter of a rectangular park is 300 feet. The length of the park is 50 feet longer than the width.
bixtya [17]

Answer:

85 feet

Step-by-step explanation:

P=2L+2W where L is the length and W is the width. If the length is 50 feet longer than the width, we can write the expression L=50+W. Substituting into P=2L+2W we get P=2(50+W)+2W=100+2W+2W=100+4W. Since P=300, we can say 300=100+4W. Subtracting 100 from each side we get 200=4W. Dividing each side by 4 gives 50=W. Substituting this into L=50+W gives L=50+35=85. The length is 85 feet.

3 0
3 years ago
A number is the 1/5 of another number. The sum of both is equal to 78. Which is the highest number out of both numbers?
Reika [66]
D.

1/5 of 65 is

65 × 1 / 5
65 / 5
= 13

65 and 13 add up to 78.

65 is the highest number out of both numbers.


♧
4 0
3 years ago
Question 5 (1 point)
Leokris [45]
A: Add up to 180 degrees
8 0
3 years ago
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