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2 years ago

The diagram shows a right-angled triangle.

Mathematics

1 answer:

alex41 [277]2 years ago

7 0

Answer:

h = 20.3 cm

Step-by-step explanation:

Apply trigonometric ratio formula to find h.

Reference angle = 40°

Opposite side length = 17 cm

Adjacent side = h

Thus:

Tan (40) = 17/h

h × tan (40) = 17/h × h (multiplication property of equality)

h × tan(40) = 17

(h×tan(40)/tan(40) = 17/tan(40) (division property of equality)

h = 20.3 cm (1 decimal place)

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liraira [26]

Answer:

a=1

b= 1/16

c= 1/256

d= 1

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f= 16/81

Step-by-step explanation:

Plug in the values of X on the left side of the table into the function on the right side of the table. Remember that negative exponents mean the number is under a fraction. 4^-0 is like saying one over 4^0.

For the blue table, because the numbers are already in a fraction and in parentheses, you apply the exponent to each number individually.

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Step-by-step explanation:

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2 years ago

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lorasvet [3.4K]

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3 years ago

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3 years ago

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Two tailors, Valentina and Laura, sit down to do some embroidery. Valentina can embroider 2 shirts per hour, and Laura can get t

mina [271]

Answer:

Valentina and Laura finished the same total number of shirts in $4$ hours.

Total number of shirts finished by Valentina $=23$

Total number of shirts finished by Laura $=23$

Step-by-step explanation:

Suppose that Valentina and Laura finished the same total number of shirts in $t$ hours.

Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.

Total number of shirts finished by Valentina $=2t+15$

Laura can get through 3 shirts per hour and Laura has completed 11 shirts.

Total number of shirts finished by Laura $=3t+11$

Therefore,

$2t+15=3t+11\\3t-2t=15-11\\t=4$

So,

Valentina and Laura finished the same total number of shirts in $4$ hours.

Total number of shirts finished by Valentina $=2(4)+15=8+15=23$

Total number of shirts finished by Laura $=3(4)+11=12+11=23$

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2 years ago