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3 years ago

I NEED MAJOR HELP WITH THIS QUESTION

Mathematics

1 answer:

Arisa [49]3 years ago

6 0

Answer:

Kindly check explanation

Step-by-step explanation:

Since the triangle is right angled ; we can solve for x using Pythagoras :

x = hypotenus ; hence ;

x² = opposite² + adjacent²

x² = 15² + 8²

x² = 225 + 64

x² = 289

x = √289

x = 17

Using Trigonometry :

Sin D = side opposite D / hypotenus = 8/17

Cos D = side Adjacent D / hypotenus = 15 / 17

Tan D = side opposite D / Adjacent side = 8/15

Sin F = side opposite F / hypotenus = 15/17

Cos F = side Adjacent F / hypotenus = 8 / 17

Tan F = side opposite F / Adjacent side = 15/8

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There are 50 cupcakes and 160 cookies to be sold at the school bake sale. What is the greatest number of packages of baked items

Sav [38]

The greatest number of packages of baked items that can be sold is 10

Solution:

Given that there are 50 cupcakes and 160 cookies to be sold at the school bake sale

To find: greatest number of packages of baked items that can be sold

Each package has the same number of cupcakes and same number of cookies with none left over

So, we have to find the greatest common factor of 50 and 160

The greatest number that is a factor of two (or more) other numbers.

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

Greatest common factor of 50 and 160:

The factors of 50 are: 1, 2, 5, 10, 25, 50

The factors of 160 are: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Then the greatest common factor is 10

So the greatest number of packages sold is 10

Each package will contain:

Given that there 50 cupcakes and 160 cookies

Number of cupcakes in 1 package:

$\rightarrow \frac{50}{10} = 5$

Number of cookies in 1 package:

$\rightarrow \frac{160}{10} = 16$

So each package has the same number of cupcakes and same number of cookies with none left over

7 0

4 years ago

F(x)=3x−4g(x)=−x2+2x−5h(x)=2x2+1j(x)=6x2−8xk(x)=3x2−x+7 Calculate (fh)(x).

elena-s [515]

Answer:

( f h ) (x) = 6 x² - 1

Step-by-step explanation:

Step(i):-

Given f(x) = 3 x - 4

g (x) = −x²+2 x−5

h (x) = 2 x² + 1

j (x) = 6 x + 2 - 8 x

K (x) = 3 x² - x + 7

Step(ii):-

( f h ) (x) = f ( h (x)) = f ( 2 x² + 1 )

= 3 (2 x² + 1 ) - 4

= 3 ((2 x² ) + 3 - 4

= 6 x² - 1

Final answer:-

∴ ( f h ) (x) = 6 x² - 1

3 0

3 years ago

What is (2)(-3)(-4)

lawyer [7]

Answer:

No, No, Yes, Yes.

Step-by-step explanation: 2 times -3 = -6. -6 times -4 = 24.

So, with that said, the first one multiples out to -24.

The second multiplies out to again -24.

12 times 2 = 24.

A negative and a negative multiply to become a positive, so -4 times -6 = 24.

7 0

3 years ago

Read 2 more answers

at an amusement park a person spends $30 on admission and food and then goes on r number of rides that cost $2 each

stepladder [879]

The question is find the equation, in the function and standard notations, that represent the amount spent in the range of 0 to 5 rides.

Constant cost: $30
Independent variable, number of rides: r
Variable cost: $2r

Total spend, s(r): 30 + 2r

Function: s(r) = 30 + 2r, for 0 ≤r ≤ 5 ----- this is the function notation

Standard form: s(r) is the dependent variable = s

s = 30 + 2r => s - 2r = 30 =>

s + (-2)r = 30, for 0 ≤ r ≤ 5 ------ this is the standard form

5 0

3 years ago

HELP ASAP ILL GIVE YOU BRAINLEST

MArishka [77]

Answer:

minimum (-9)

Step-by-step explanation:

look at the parabola if it is n shaped it has a maximum and if it is u shaped it has a minimum

7 0

4 years ago