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NeX [460]
2 years ago
11

Please help.Please show the formula,thanks.

Mathematics
1 answer:
Yuki888 [10]2 years ago
5 0

Answer:

DE=6.3

Step-by-step explanation:

triangles are similar so, its sides and angles are comgruent.

side BC=side DE

side BC=6.3

side DE=6.3

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Solve the triangle. Round your answers to the nearest tenth. Law of sines 6 A. M∠C=34 m ∠ C = 34 , b=25 b = 25 , c=16 c = 16 B.
PolarNik [594]

Answer:

A  = 43.0^o

B = 55.0^o

BC = 20.0

Step-by-step explanation:

I will solve this question with the attached triangle

From the attachment, we have:

\angle C =82^o

AB = 29

AC = 24

Required

Solve the triangle

First, we calculate \angle B using sine law:

\frac{AC}{\sin(B)} = \frac{AB}{\sin(C)}

This gives:

\frac{24}{\sin(B)} = \frac{29}{\sin(82^o)}

\frac{24}{\sin(B)} = \frac{29}{0.9903}

Cross multiply

\sin(B) * 29 = 24 * 0.9903

\sin(B) * 29 = 23.7672

Divide both sides by 29

\sin(B) = 0.8196

Take arcsin of both sides

B = \sin^{-1}(0.8196)

B = 55.0^o

Next, calculate \angle A using:

A + B + C = 180^o --- angles in a triangle

A + 55^o + 82^o = 180^o

Collect like terms

A  = 180^o-55.0^o - 82^o

A  = 43.0^o

Next, calculate BC using sine laws

\frac{BC}{\sin(A)} = \frac{AB}{\sin(C)}

This gives:

\frac{BC}{\sin(43.0)} = \frac{29}{\sin(82)}

\frac{BC}{0.6820} = \frac{29}{0.9903}

Make BC the subject

BC = \frac{29*0.6820}{0.9903}

BC = 20.0

6 0
2 years ago
Which is greater 17% or 4 over 25?
andre [41]
17% is bigger because as a decimal it is 0,17 whereas 4/25 as a decimal is 0.16. Hope this helps
4 0
3 years ago
A sandwich shop offers 3 rypes of bread and 4 types of meat. How many different sandwiches consisting of 1 type of bread and 1 t
lisabon 2012 [21]
So if theres 3 rypes of bread and 4 type of meat u just have to multiply 3×4 gives u 12
Answer : u can make 12
7 0
3 years ago
If triangle ABC is dilated by a scale factor of 2 with a dilation center of A, what will be the coordinates of point b’?
mojhsa [17]

Answer:


In the given figure the sides of triangle measures as follows:


AB= 4 units,


BC= 6 units,


Since triangle ABC is right angled triangle, to find AC we will have to use Pythagorean theorem,


AB² + BC² = AC²


Plugging the values of AB and BC to find AC,


4² + 6² = AC²


16+36=AC²


AC = 7.48


Now if the triangle is dilated by a scale factor of 2, each side will be multiplied by 2 to get the new triangle A'B'C'


side A'B' = 2* AB = 2*4= 8 units


side B'C' = 2* BC = 2*6 =12 units


side A'C' = 2*AC = 2*7.48 = 14.96 units


Perimeter of triangle = sum of three sides


Perimeter of triangle A'B'C' = A'B' + B'C' + A'C'= 8+12 + 14.96 = 34.96 units.


Perimeter of triangle ABC = AB+BC + AC = 4+6+7.48 = 17.48 units.


Perimeter of triangle A'B'C' = 2* Perimeter of triangle ABC


The perimeter of new triangle A'B'C' is 34.96 units which is twice that of triangle ABC.


Answer : A) The perimeter of A'B'C' is 2 times the perimeter of ABC.



8 0
3 years ago
What is x? 1/2:10 x:1
julsineya [31]

Answer:

10

Step-by-step explanation:

there

5 0
3 years ago
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