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Jobisdone [24]
3 years ago
11

I need help with similar triangles

Mathematics
1 answer:
Alika [10]3 years ago
5 0

Answer:

ΔGHI and ΔDEF  are similar by SSS criteria

Step-by-step explanation:

Consider triangle GHI and triangle DEF

In ΔGHI, GH = 2, HI =4 and GI = 3.5

In ΔDEF , DE =4, EF = 6 and DF = 7

GH/DE = 2/4 =1/2

HI/EF = 3/6 = 1/2

GI/DF = 3.5/7 = 1/2

The corresponding sides are in same ratio by SSS criteria

ΔGHI and ΔDEF  are similar


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saul85 [17]
30% of 200=60 200+60= 260 
Ty has £260
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200+260+520= £980

Answer £980

I hope this is right :D
5 0
3 years ago
Measure the lengths of the sides of ∆ABC in GeoGebra, and compute the sine and the cosine of ∠A and ∠B. Verify your calculations
marusya05 [52]

Answer:

Sin \angle A =0.80

Cos \angle A=0.60

Sin \angle B =0.60

Cos \angle B=0.80

Step-by-step explanation:

Given

I will answer this question using the attached triangle

Solving (a): Sine and Cosine A

In trigonometry:

Sin \theta =\frac{Opposite}{Hypotenuse} and

Cos \theta =\frac{Adjacent}{Hypotenuse}

So:

Sin \angle A =\frac{BC}{BA}

Substitute values for BC and BA

Sin \angle A =\frac{8cm}{10cm}

Sin \angle A =\frac{8}{10}

Sin \angle A =0.80

Cos \angle A=\frac{AC}{BA}

Substitute values for AC and BA

Cos \angle A=\frac{6cm}{10cm}

Cos \angle A=\frac{6}{10}

Cos \angle A=0.60

Solving (b): Sine and Cosine B

In trigonometry:

Sin \theta =\frac{Opposite}{Hypotenuse} and

Cos \theta =\frac{Adjacent}{Hypotenuse}

So:

Sin \angle B =\frac{AC}{BA}

Substitute values for AC and BA

Sin \angle B =\frac{6cm}{10cm}

Sin \angle B =\frac{6}{10}

Sin \angle B =0.60

Cos \angle B=\frac{BC}{BA}

Substitute values for BC and BA

Cos \angle B=\frac{8cm}{10cm}

Cos \angle B=\frac{8}{10}

Cos \angle B=0.80

Using a calculator:

A = 53^{\circ}

So:

Sin(53^{\circ}) =0.7986

Sin(53^{\circ}) =0.80 -- approximated

Cos(53^{\circ}) = 0.6018

Cos(53^{\circ}) = 0.60 -- approximated

B = 37^{\circ}

So:

Sin(37^{\circ}) = 0.6018

Sin(37^{\circ}) = 0.60 --- approximated

Cos(37^{\circ}) = 0.7986

Cos(37^{\circ}) = 0.80 --- approximated

8 0
3 years ago
Read 2 more answers
Mrs. Gomes found that 40% of students at her high school take chemistry. She randomly surveys 12 students. What is the probabili
zlopas [31]

Answer:

The correct answer to the following question will be "0.438".

Step-by-step explanation:

Just because Mrs. Gomes finds around 40% of students in herself high school are studying chemistry.  

Although each student becomes independent of one another, we may conclude:  

"x" number of the students taking chemistry seems to be binomial to p = constant probability = 0.40

Given:

Number of surveys

= 12

Exactly 4 students have taken chemistry:

=P(X\leq4)

=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)

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On substituting the above equation, we get the probability of approximately "0.438".

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5 0
3 years ago
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k0ka [10]

Answer:

3^10

Step-by-step explanation:

Because the rules of index

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3^6 = 3*3*3*3*3*3

(3^4)(3^6)=

3*3*3*3*3*3*3*3*3*3 = 3^10

4 0
2 years ago
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Benjamin invests $400 in a savings account that earns 5\%5% interest each year. Which expression does not give the correct balan
Phantasy [73]

400(1−0.05) ^3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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