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swat32
3 years ago
5

Rhonda was organzing photos in a photo album. She took 60 photos and divided them evenly among p pages. Which algebraic expressi

on represents the number of photos on each page
Mathematics
1 answer:
Katen [24]3 years ago
4 0
P=number of pages
we have to divide the number of photos by p

algebreaic expression represents the number of photosn on each page=60/p

60/p
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Triangle ABC has a right angle at C. Select all measurements which would mean it has a hypotenuse with a length of 10 units. a.
Delvig [45]

Option d: Angle A is 30 degrees, BC is 5 units

Option e: AC is 8 units, BC is 6 units

Explanation:

The triangle ABC has a right angle at C.

The length of the hypotenuse is 10 units.

The image of the triangle with this measurement is attached below:

Option a: Angle A is 20 degrees, BC is 2 units

\begin{aligned}\sin 20 &=\frac{2}{h y p} \\h y p &=\frac{2}{\sin 20} \\&=5.8476\end{aligned}

Since, hypotenuse is 10 units, Option a is not correct answer.

Option b: AC is 7 units, BC is 3 units

\begin{aligned}A B &=\sqrt{7^{2}+3^{2}} \\&=\sqrt{49+9} \\&=\sqrt{58}\end{aligned}

Since, hypotenuse is 10 units, Option b is not correct answer.

Option c: Angle B is 50 degrees, BC is 4 units

\begin{aligned}\cos 50 &=\frac{4}{h y p} \\h y p &=\frac{4}{\cos 50} \\&=6.222\end{aligned}

Since, hypotenuse is 10 units, Option c is not correct answer.

Option d: Angle A is 30 degrees, BC is 5 units

\begin{aligned}\sin 30 &=\frac{5}{h y p} \\h y p &=\frac{5}{\sin 30} \\&=10\end{aligned}

Since, hypotenuse is 10 units, Option d is the correct answer.

Option e: AC is 8 units, BC is 6 units

\begin{aligned}A B &=\sqrt{8^{2}+6^{2}} \\&=\sqrt{64+36} \\&=\sqrt{100} \\&=10\end{aligned}

Since, hypotenuse is 10 units, Option e is the correct answer.

Thus, Option d and e are the correct answers.

3 0
3 years ago
Two asteroids are 1000 km apart and are heading straight for each other. One asteroid is travelling at 59 km per second and the
Nataliya [291]

Answer:

10 seconds.

Step-by-step explanation:

The velocity at which they are approaching each other = 59 + 41 = 1000 km per second.

Velocity = distance  / time

So time =  distance / velocity

= 1000 / 100

= 10 seconds.

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3 years ago
In △ABC, ∠C is a right angle and sinB=725.
scoundrel [369]

9514 1404 393

Answer:

  A  7/25

Step-by-step explanation:

The cosine of an angle is equal to the sine of its complement. In a right triangle, angle A is the complement of angle B. So, ...

  cos(A) = sin(B)

  cos(A) = 7/25

8 0
3 years ago
Find the value of x! First person to correctly respond gets brainliest!!
Nataly_w [17]

Answer:

180-33 = 147

Step-by-step explanation:

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3 years ago
Sonia rolls a six sided number cube 12 times and records of she rolls a 2. What is the number of trials for this binomial experi
egoroff_w [7]
I think the answer is 6mbecause 6 times 2 equals 12 so maybe that's the answer
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3 years ago
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