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kolbaska11 [484]
3 years ago
10

What is the correct value of b ?

Mathematics
1 answer:
Vlada [557]3 years ago
4 0

Answer:

b = 4

Step-by-step explanation:

Using the trigonometric identity

cos x = \frac{1}{secx} = \frac{1}{\frac{5}{3} } = \frac{3}{5}

Using the cosine ratio in the right triangle

cos x = \frac{adjacent}{hypotenuse} = \frac{3b}{20}

Hence

\frac{3b}{20} = \frac{3}{5} ( cross- multiply )

15b = 60 ( divide both sides by 15 )

b = 4

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-4+8(7+×) is equivalent to
Helen [10]
-4+56+8x= 8x+52
8x+1w is the answer
7 0
3 years ago
Which expression is equivalent to (3−2^2) 5 ? 5−3^2 5−2^2 2^2−5 ​ 3^2−5
tamaranim1 [39]
Well (3-2^2)5 = -5
and 5-3^2=-4
5-2^2=1
2^2-5=-1
3^2-5=4
but if you have to multiply them by 5 as well then (2^2-5)5=-5
8 0
3 years ago
The number of cases of a new disease can be modeled by the quadratic regression equation y = -2x^2 + 40x + 8. What is the best p
Stels [109]

Answer:

158 cases

Step-by-step explanation:

Given tbe quadratic regression model :

y = -2x^2 + 40x + 8

y = number of cases of a new disease

x = number of years

The predicted number of cases of a new disease in 15 years can be calculated thus ;

Put x = 15 in the equation ;

y = -2(15)^2 + 40(15) + 8

y = - 2 * 225 + 600 + 8

y = - 450 + 600 + 8

y = 158

158 cases

5 0
2 years ago
Please answer this correctly
bonufazy [111]

Answer:

The dependent variable is m

Step-by-step explanation:

A dependent variable is dependent on an independent variable. This variable is dependent on other variable that are measured . The dependent variable are expected to change as a result of the manipulation of the independent variables. Usually as the experiments changes the independent variable the dependent variable are observed and noted.

The independent variable is unaffected by the other variable you are measuring. The independent variable represent a quantity that is been manipulated in an experiment.

According to the question Jenny works as a server at Jefferson restaurant . The more table she is assigned to serve the more money she earns during a shift.

The independent variable is the number of table Jenny served because this is what she has control over.

The dependent variable is the amount of money Jenny earns because the amount of money she earns is dependent on the number of tables she served . Therefore the dependent variable is m

7 0
3 years ago
The number of fiction books in a libary is %150 of the number of non-fiction books. the libary has 4,000 books in total. how man
Nitella [24]

Answer:

The number of

Fiction books = x = 2400 fiction books

Non fiction books = y = non fiction books

Step-by-step explanation:

Let the number of

Fiction books = x

Non fiction books = y

The libary has 4,000 books in total.

Hence: x + y = 4000........ Equation 1

The number of fiction books in a libary is %150 of the number of non-fiction books.

x = 150% of y

x = 150/100 × y

x = 1.5y

We substitute 1.5y for x in Equation 1

x + y = 4000

1.5y + y = 4000

2.5y = 4000

y = 4000/2.5

y = 1600 non fiction books

Solving for x

x = 1.5y

x = 1.5 × 1600

x = 2400 fiction books.

Therefore,

The number of

Fiction books = x = 2400 fiction books

Non fiction books = y = non fiction books

5 0
2 years ago
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