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zlopas [31]
3 years ago
8

Madge has cut out two triangular shapes from a block of wood, as shown below. Are the two shapes similar? Show your calculations

.

Mathematics
1 answer:
marin [14]3 years ago
3 0
Yes, the larger one is twice the smaller one.
8*2=16
5*2=10
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Right triangle similarity: Solve for x and y
OleMash [197]

Answer:

x=4\sqrt{5},y=8\sqrt{5}

Step-by-step explanation:

sin∠SRT = sin∠TSV,

SO  \frac{x}{20} =\frac{4}{x}, x^{2}=80,x=\sqrt{80} =4\sqrt{5};

In the same way:

sin∠RSV = sin∠RTS,

SO \frac{16}{y} =\frac{y}{20},y^{2}=320,y=8\sqrt{5}

7 0
2 years ago
A wheelchair ramp rises from the ground at a 4.5 degree angle of elevation. The end of the ramp is 3 ft. above the ground. How l
Doss [256]
<span>the longitude of the ramp is determined by the Hypotenuse, we have the angle(4.5Âş), and the opposite side (3ft), so with the Sin(x) trigonometric function ( sin(x)=opposite/hypotenuse ) we can calculate the answer.
 Using the formula, hypotenuse=opposite/sin(x)
Hypotenuse=3ft/sin(4.5)
 hypotenuse=3ft/0.0784591
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6 0
3 years ago
Read 2 more answers
Find the value of x in each of the following<br> a) x + 3 = 8<br> b) X-5 = 7
Georgia [21]

Answer:

a) x = 5

b) x = 12

Step-by-step explanation:

x + 3 = 8

Subtract 3 on both sides.

x = 8 - 3

x = 5

x - 5 = 7

Add 5 on both sides.

x = 7 + 5

x = 12

6 0
3 years ago
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Answer both questions please!!! I need help....
Temka [501]

Answer

The first one is equal and the second one is the first choice.

6 0
3 years ago
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blagie [28]
38.95-11.98=26.97
26.97/3=$8.99
3 0
3 years ago
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