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Ahat [919]
3 years ago
15

6 times 72 divided by 32

Mathematics
1 answer:
Fudgin [204]3 years ago
8 0

Answer:

13.5

Step-by-step explanation:

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Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl
Kazeer [188]

Answer: 10 ft

Explanation

As two right triangles (a triangle with a 90º angle) are formed, to know the distance between AB we have to calculate BC, AC and subtract.

0. Calculating BC

We have a 30º angle and an adjacent side 5√3ft (as the hypotenuse is the side opposite to the 90º angle). Thus, using the tangent function where:

\tan\theta=\frac{opposite}{adjacent}

we can find the opposite side, which is BC. Replacing the values and simplifying we get:

\tan(30\degree)=\frac{BC}{5\sqrt{3}}BC=5\sqrt{3}\tan(30\degree)BC=5ft

Thus, the segment BC measures 5ft.

<em>2. Calculating segment AC</em>.

In this case, our hypotenuse changes. However, we are still looking for the opposite side. Using the tangent function as before we get:

AC=5\sqrt{3}\tan(60\degree)AC=15

<em>3. Calculating the distance between A and B</em>

AC-BC=15-5=10ft

6 0
1 year ago
Rotate the vector -5,7 180 degrees about the origin
Helen [10]

okkkk the vector is not rotating I tried ms

3 0
4 years ago
Of 100 diners in a restaurant, 45 ordered the fish of the day and 14 are wearing a dress. Of the diners who ordered fish, 8 are
ololo11 [35]

<span>1.     </span>The probability that one of the diners orders fish = number of diners who ordered fish / total number of diners

p1=45/100=0.45

<span>2.     </span>The probability that one of the diners is wearing dress= number of diners wearing dress/ total number of diners

<span>3.     </span>p2=14/100=0.14

<span>The probability that one of the diners ordered the fish or is wearing a dress is: p=0.45+0.14=0.59</span>

7 0
4 years ago
First angle in the triangle is 52 degrees Celsius and I need to find the outside and top
Margaret [11]

In figure,

AC = BC (given)

Since, in a triangle , angles opposite to equal sides are also equal.

Therefore,

b= 52°

Now,

°.° c is exterior angle of triangle.

.°. c = b + 52°

=> c = 52° + 52°

=> c = 104°

Solution:-

-------------

b = 52° & c =104°

#$# HOPE YOU UNDERSTAND #$#

#$¥ THANK YOU ¥$#

❤ ☺ ☺ ☺ ☺ ☺ ☺ ❤

8 0
3 years ago
Rational numbers are _____ natural numbers.<br> A. Always<br> B. Sometimes<br> C. Never
ratelena [41]
I think it is
A. Always
8 0
3 years ago
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