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shutvik [7]
3 years ago
12

In ΔFGH, f = 960 inches, g = 380 inches and h=820 inches. Find the measure of ∠F to the nearest degree.

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0

Answer:

m\angle F\approx 100^{\circ}

Step-by-step explanation:

For any triangle, the Law of Cosines is given by c^2=a^2+b^2-2ab\cos C, where all three variables are interchangeable.

Therefore, we have:

f^2=g^2+h^2-2gh\cos F,\\960^2=380^2+820^2-2(380)(820)\cos F,\\\cos F=-\frac{131}{779},\\F=\arccos(-\frac{131}{779})\approx \boxed{100^{\circ}}

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The Grade 6 students at West Village Middle School were asked if they would rather visit the Museum of Math or the Museum of Nat
Ket [755]

The number of Grade 6 students were asked in total is 100 students.

<h3>How to calculate the value?</h3>

Let the number of students who choose Natural History be x.

Since the number of students who chose the Museum of Math was 50 more than the number of students who chose the Museum of Natural History. This will be x + 50

The ratio of students who chose the Museum of Math to students who chose the Museum of Natural History was 3 to 1. The expression will be illustrated thus:

1/3 = x/x+50

Cross multiply

3x = x + 50

Collect like terms

3x - x = 50.

2x = 50

Divide

x = 50/2

x = 25

Also, x + 50 = 25 + 50 = 75

The number of Grade 6 students that were asked will be:

= 25 + 75

= 100

Learn more about expressions on:

brainly.com/question/723406

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6 0
9 months ago
What’s the answer to this ? I can’t find it out
olya-2409 [2.1K]

The problem is confusing because the words (and question marks) are not consistently used. Let's do this:

... (cooler price) + (tax on the cooler) = (total bill)

The <em>cooler price</em> is 100% of the cooler price.

The <em>tax on the cooler</em> is 6% of the cooler price.

The total bill is the total of these:

... (100% × (cooler price)) + (6% × (cooler price)) = (total bill)

Using the distributive property, we can factor out (cooler price) to get ...

... (100% + 6%) × (cooler price) = (total bill)

Adding the numbers together, we have

... (106%) × (cooler price) = (total bill)

_____

There are two question marks in the addition problem, and each gets a different number. I can't tell from the portion of the picture here what the expected answer is. (I suspect it may be 106%.) I can tell you ...

... 100% of cooler price

... + 6% of cooler price (tax)

... = 106% of cooler price (total bill, $7.95)

== == == == == == == ==

In problems involving retail sales, the term "cost" is usually used to mean the amount the retailer paid his supplier for the item. Here, that term seems to be used interchangeably with the term "price" to refer to the sticker price on the item in the store.

3 0
2 years ago
I will mark brainliest if correct please answer fast I will give 10 points to the first person who answers
attashe74 [19]

Answer:

99\ in^{2}

Step-by-step explanation:

Area of any triangle could be always calculated as base length multiplied by the height perpendicular to the aforementioned base divided by 2. Therefore:

A = 18 * 11 / 2 = 198 / 2 = 99

4 0
3 years ago
10
schepotkina [342]

Answer:

3.56 cm.

Step-by-step explanation:

1/3 π r^2 h = V

1/3 π (5.13)^2 h  = 98

h = 98 / (1/3 π (5.13)^2)

=  98 / 27.55899

= 3.556.

3 0
3 years ago
rename each mixed number as an equivalent mixed number with the same denominator. 4 6/9= 7 5/3= 3 7/8= 5 19/14=
denis-greek [22]
4 6/9= 38/9   
7 5/3= 26/3
3 7/8= 31/8
5 19/14 =89/14

5 0
3 years ago
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