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3 years ago

A 40-degree angle is translated 5 inches along a vector. What is the angle measurement, in degrees, of the Image?

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

8 0

Answer:

40°

Step-by-step explanation:

As clarified in an online document, a translation along a vector (which is a line in a plane) of a figure, is equivalent to a translation along a coordinate grid, and therefore, given that a translation is a form of rigid transformation, the the dimensions and inclinations of the rays forming the preimage are the same as those in the image and the angles measurement in the preimage and the image are equal.

Therefore, given that the angle measurement of the image is 40-degrees, the angle measurement of the image is also 40-degree (40°) angle.

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The ribbon was 3 1/4 inches wide and had an area of 19 1/2 square inches. What is the length of the ribbon? Please Help Will Giv

miv72 [106K]

Hello!

The formula for finding area is l × w

If the area is 19 ½ inches and it was 3 ¼ inches wide, then the length will be 19 ½ ÷ 3 ¼ (Area ÷ Width)

$19 \frac{1}{2} \div 3 \frac{1}{4}$

Change both to improper fraction

$19 \frac{1}{2} = \frac{39}{2}$

$3 \frac{1}{4} = \frac{13}{4}$

$\frac{39}{2} \div \frac{13}{4}$

Keep 39/2
Change ÷ to ×
Flip 13/4 = 4/13

$\frac{39}{2} \times \frac{4}{13} = \frac{156}{26} = 6$

$\framebox {The length of the ribbon is 6 inches}$

5 0

3 years ago

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A=(1)/(2)h(b_(1)+b_(2)) solve for h

inessss [21]

Answer:

$A = \frac{1}{2}h(b_1+b_2)\\2A = h(b_1+b_2)\\h = \frac{2A}{b_1+b_2}$

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3 years ago

Make t the subject of the formula p = 4t+1/2-t

alex41 [277]

Answer:

t = (p - 1/2)/3

Step-by-step explanation:

p = 4t + 1/2 - t

combine like terms:

p = 3t + 1/2

subtract 1/2 from each side of the equation:

3t = p - 1/2

divide both sides by 3:

t = (p - 1/2)/3

8 0

2 years ago

hello! i struggle with math A LOT so if u guys can help me with these questions with the work i would appreciate a lot

elena-s [515]

Pretty sure 1 is 6/8

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3 years ago

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0.3% of a country has a certain disease. The test for the disease has a sensitivity of 92% (i.e., of those we know have the dise

butalik [34]

Answer:

0.95988 (Accuracy of the test )

Step-by-step explanation:

To determine the accuracy of this test we have to list out the given values

Prevalence rate of the disease = 0.3% = 0.003

sensitivity rate of the disease = 92% = 0.92

specificity rate for the test = 96% = 0.96

The accuracy of the test can be found using this equation

Accuracy = sensitivity * prevalence + specificity ( 1 - prevalence )

= 0.92 * 0.003 + 0.96 ( 1 - 0.003 )

= 0.00276 + 0.95712

= 0.95988

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3 years ago