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3 years ago

Please help me with this thanks

Mathematics

1 answer:

Art [367]3 years ago

7 0

Answer:

Step-by-step explanation:

No, because none of the factors of 29 equal to -1

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Geometry Question attached below

Soloha48 [4]

I'm sure there's an easier way to do this, but this method does work:

First, AB = CD = CG + GF + FD, so FG = 2.

By the Pythagorean theorem, in triangle AFD we get

$1^2+3^2=A F^2\implies A F=\sqrt{10}$

and in triangle BCG,

$2^2+3^2=BG^2\implies BG=\sqrt{13}$

Angles AFD and EFG form a vertical pair, so they are congruent and have measure

$m\angle EFG=\tan^{-1}3$

Similarly, angles BGC and FGE are congruent and have measure

$m\angle FGE=\tan^{-1}\dfrac32$

Then the remaining angle in triangle EFG has measure

$m\angle FEG=\pi-\tan^{-1}3-\tan^{-1}\dfrac32$

We can solve for the lengths of FE and GE exactly by applying the law of sines:

$\dfrac{\sin\left(\pi-\tan^{-1}3-\tan^{-1}\frac 32\right)}2=\dfrac{\sin\left(\tan^{-1}3\right)}{GE}=\dfrac{\sin\left(\tan^{-1}\frac32\right)}{FE}$

$\implies GE=\dfrac{2\sqrt{13}}3,FE=\dfrac{2\sqrt{10}}3$

Let $s$ be the semiperimeter of triangle ABE, so that

$s=\dfrac{AB+BE+EA}2$

Then according to Heron's formula, the area of triangle ABE is

$\sqrt{s(s-AB)(s-BE)(s-EA)}=\dfrac{25}2$

5 0

4 years ago

Write an expression equivalent to 6 - 2x + 5 + 4x that only has two terms.

777dan777 [17]

Answer:

11 + 2x

Step-by-step explanation:

In algebra, like terms are terms that have the same variables (letter after the number). Like terms can be combined for example the 6 and 5 have the same variable (none) so they can be combined. IMPORTANT! While we do combine the 2x and the 4x since the 2x came after a minus sign we consider it a negative, so -2x + 4x (or 4x - 2x) is 2x NOT 6x

3 0

4 years ago

A recipe requires 1/4 ib of onion to make 3 servings of soup. Mark has 1 1/2 ib of onions. How many servings can mark make?

Masteriza [31]

1/4 is .25
1 1/2 is 1.5
1.5 divided by .25= 6
6 times 3= 18
mark can make 18 servings of soup

5 0

4 years ago

The density function for the number of times the riders scream on a roller coaster is given by f(x). Find the mean number of scr

Lyrx [107]

The mean is given by

$\mathbb E(X)=\displaystyle\int_{-\infty}^\infty xf_X(x)\,\mathrm dx=\frac1{4\pi}\int_0^{4\pi}x(1-\cos 6x)\,\mathrm dx=2\pi$