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4 years ago

A) work out the size of angle AED B) Work out X

Mathematics

1 answer:

nata0808 [166]4 years ago

8 0

Answer:

nwm

Step-by-step explanation:

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The length and width of a rectangular frame is 15 inches and 8 inches.What is the length of the diagonal of this frame

anastassius [24]

Answer:

The length of the diagonal of the frame equal 17 inches

Step-by-step explanation:

The diagonal dividing the rectangle as made the rectangle 2 triangles

So according to Pythagoras Theorem,

Hypothenus² = opposite² + adjacent²

The diagonal lent is the Hypothenus.

so the two other sides are taking as opposite and adjacent respectively

so taking h as hypothenus,

h² = 15² + 8²

h² = 225 + 64

h² = 289

h = √289

h = 17

4 0

3 years ago

Evaluate the definite integral. <br> 1 x4(1 + 2x5)5 dx.

Nata [24]

Answer:

Step-by-step explanation:

Given the definite integral $\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx$ , we to evaluate it. Using integration by substitution method.

Let u = 1-2x⁵ ...1

du/dx = -10x⁴

dx = du/-10x⁴.... 2

Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

$= \int\limits {\dfrac{x^4}{u^5} } \, \dfrac{du}{-10x^4}$

$= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} } \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du } \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}] \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\$

$= \dfrac{u^{-4}}{40} \\\\\\= \dfrac{1}{40u^4} +C$

substitute u = 1-2x⁵ into the result

$= \dfrac{1}{40(1-2x^5)^4} +C$

Hence $\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx$ $= \dfrac{1}{40(1-2x^5)^4} +C$

5 0

3 years ago

For every 5 coins carmen gets ,she gives 2 to her brother Frankie.If carmen has 9 coins,howmany coins does Frankie have?

FrozenT [24]

Answer:

Frankie have 6 coins

Step-by-step explanation:

For every 5 coins Carmen gets ,she gives 2 to her brother Frankie

Out of 5 coins, Carmen given 2 to her brother Frankie

So Carmen has 3 coins and Frankie has 2 coins

Ratio of coins , Frankie to Carmen is

2: 3

We need to find the number of coins Frankie has if Carmen has 9 coins

ratio of Frankie to Carmen is x : 9

Now make a proportion and solve for x

$\frac{2}{3} =\frac{x}{9}$

Cross multiply it

2*9 = 3*x

18 = 3x

Now divide both sides by 3

so x= 6

Frankie have 6 coins

7 0

3 years ago

Courtney has a total of 88 stamps worth $15.56. Some are $0.25 stamps and some are $0.02 stamps. How many of each foes she have?

olganol [36]

Let x = # of 25-cent stamps

y = # of 2-cent stamps

{ x+ y = 88

{ 0.25x + 0.02y = 15.56

60 25-cent stamps 28 2-cent stamps

5 0

3 years ago

F(x) = -x2 – 9.2 – 4

drek231 [11]

Answer:

what is the question?

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers