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Stella [2.4K]
3 years ago
15

Lauren drew a triangle. Its sides were 7\text{ mm}7 mm7, start text, space, m, m, end text, 9\text{ mm}9 mm9, start text, space,

m, m, end text, and 7\text{ mm}7 mm7, start a text, space, m, m, end text. It has three acute angles.
Mathematics
1 answer:
kkurt [141]3 years ago
8 0

Answer: The triangle has two angles of 49.99° and one angle of 80.02°

Step-by-step explanation:

We have a triangle with sides of 7mm, 9mm and 7mm

The triangle has two equal sides, so this means that this is a Isosceles triangle.

The angles are

The base of this triangle is the side with 9mm, and the two base angles are equal.

We can find the base angles by drawing a line from the middle of the base to the top vertice, then we will have a triangle rectangle with a hypotenuse of 7mm, a adjacent cathetus of 4.5 mm, and with this two things we can find the base angle by using the relation

cos(a) = adjacent cathetus/hypotenuse = 4.5mm/7mm

a = Acos(4.5/7) = 49.99°

Then in our isosceles triangle we have two base angles of 49.99°

To find the other angle we can use the fact that the 3 inner angles of a triangle adds up top 180°

Then

49.99° + 49.99° + A = 180°

A = 180° - 2*49.99° = 80.02°

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blsea [12.9K]
The answer I think is 2+7+0.15x_>15
6 0
3 years ago
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if a right triangle has one side measuring 3√2 and another side measuring 2√3, what is the length of the hypotenuse?
lina2011 [118]

Answer:

<h2>\sqrt{30}</h2>

Step-by-step explanation:

Given,

Perpendicular ( p ) = 3√2

Base ( b ) = 2√3

Hypotenuse ( h ) = ?

Now, let's find the length of the hypotenuse:

Using Pythagoras theorem:

{h}^{2}  =  {p}^{2}  +  {b}^{2}

plug the values

{h}^{2}  =  {(3 \sqrt{2} )}^{2}  +  {(2 \sqrt{3} )}^{2}

To raise a product to a power, raise each factor to that power

{h}^{2}  = 9 \times 2 + 4 \times 3

Multiply the numbers

{h}^{2}  = 18 + 12

Add the numbers

{h }^{2}  = 30

Take the square root of both sides of the equation

h =  \sqrt{30}

Hope this helps...

Best regards!!

6 0
3 years ago
Read 2 more answers
3x+1/5y=7 solve for y
Vladimir79 [104]
Hello!

First, let's write the problem.
3x+\frac{1}{5}y=7
Subtract 3x from both sides.
3x+\frac{1}{5}y-3x=7-3x
\frac{1}{5}y=7-3x
The opposite of division is multiplication, so we are going to multiply in order to undo the fraction.
5\cdot \frac{1}{5}y=5\cdot \:7-5\cdot \:3x

Our final answer would be, 
y=35-15x

Thanks!
-TetraFish
5 0
4 years ago
James bought 5 boxes of cookies and 2 cakes at the store for his party. The cakes cost $4 each and his total bill was $28.50, ho
maxonik [38]
Number of cookie boxes bought by James = 5
Number of cakes bought by James = 2
Cost of each cakes = $4
Total bill paid by James = $28.50
Let us assume the cost of the each boxes of cookies = x
Then
5x + (2 * 4) = 28.50
5x + 8 = 28.50
5x = 28.50 - 8
5x = 20.50
x = 20.50/5
   = 4.10
So we can see from the above deduction that the cost of each boxes of cookies bought by James is $4.10
7 0
3 years ago
1.93 converted to fraction
exis [7]
193
--------
1000
i think
3 0
3 years ago
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