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garik1379 [7]
2 years ago
14

Basic geometry question plsss

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
7 0

Answer:

x=53

Step-by-step explanation:

pythagoras theorem

a^2 + b^2 =c^2

here a and b are two small sides and c is hypotenuse (longest side)

28^2 + 45^2 = c^2

784 + 2025 =x^2

2809 =x^2

\sqrt{2809} =x

53 =x

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Help with this please
aliina [53]
AB = 6 cm, AC = 12 cm, CD = ?

In triangle ABC, ∠CBA = 90°, therefore in triangle BCD ∠CBD = 90° also.

Since ∠BDC = 55°, ∠CBD = 90°, and there are 180 degrees in a triangle, we know ∠DCB = 180 - 55 - 90 = 35°

In order to find ∠BCA, use the law of sines:
 
sin(∠BCA)/BA = sin(∠CBA)/CA
sin(∠BCA)/6 cm = sin(90)/12 cm
sin(∠BCA) = 6*(1)/12 = 0.5
∠BCA = arcsin(0.5) = 30° or 150°
We know the sum of all angles in a triangle must be 180°, so we choose the value 30° for ∠BCA

Now add ∠BCA (30°) to ∠DCB = 35° to find ∠DCA.
∠DCA = 30 + 35 = 65°

Since triangle DCA has 180°, we know ∠CAD = 180 - ∠DCA - ∠ADC = 180 - 65 - 55 = 60°

In triangle DCA we now have all three angles and one side, so we can use the law of sines to find the length of DC.

12cm/sin(∠ADC) = DC/sin(∠DCA)
12cm/sin(55°) = DC/sin(60°)
DC = 12cm*sin(60°)/sin(55°)
DC = 12.686 cm
3 0
3 years ago
How can I find the greatest common factor for number 7?
IRISSAK [1]
The greatest common factor of the number 6 is 1
5 0
3 years ago
A contractor digs a hole for the basements of a new house that is 40 feet long and 10 1/2 feet deep. What is the width of the ho
34kurt
D. 15.5

40*10.5 = 420

6510/420 = 15.5
7 0
3 years ago
4x - 2y = 5 and y = 3x - 1
Talja [164]

Answer:

4x_2y=5

4x=5+2y

x=5+2y/5

now, y=3x_1

putting value of x in second question

In this way you can do

7 0
3 years ago
The base of this prism is ___ triangle.
irga5000 [103]

Answer:

B

Step-by-step explanation:

B

8 0
2 years ago
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