The cosine of the complimentary angle to 38°
a.
0.68
c.
-0.22
b.
-0.16
d.
0.62

Answer:

[tex]\tan(A - \frac{\pi}{4}) = \frac{-\sqrt{15}- 1}{1 -\sqrt{15}}[/tex]

Step-by-step explanation:

Given

[tex]\tan A =-\sqrt{15[/tex]

Required

Find [tex]\tan(A - \frac{\pi}{4})[/tex]

In trigonometry:

[tex]\tan(A - B) = \frac{\tan A - \tan B}{1 + \tan A \tan B}[/tex]

This gives:

[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - \tan \frac{\pi}{4}}{1 + \tan A \tan \frac{\pi}{4}}[/tex]

[tex]tan \frac{\pi}{4} = 1[/tex]

So:

[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - 1}{1 + \tan A * 1}[/tex]

[tex]\tan(A - \frac{\pi}{4}) = \frac{\tan A - 1}{1 + \tan A}[/tex]

This gives:

[tex]\tan(A - \frac{\pi}{4}) = \frac{-\sqrt{15}- 1}{1 -\sqrt{15}}[/tex]

Answer:

StartFraction StartRoot 15 EndRoot + 1 Over 1 minus StartRoot 15 EndRoot EndFraction

Step-by-step explanation:

EndRoot EndFraction StartFraction negative StartRoot 15 EndRoot + 1 Over 1 + StartRoot 15 EndRoot EndFraction

Answer:

80%

Step-by-step explanation:

Answer:

Step-by-step explanation:

84 species in zoo,

5/12- north america

1/4-africa

Answer:

D

Step-by-step explanation:

Answer:

I think its A but not 100 percent sure

Step-by-step explanation:

2, 0

random words because word limit weee

Answer:

a. Problem A > Problem B

Step-by-step explanation:

Problem A:

f(x) = x3 + 5

f(-2) = (-2)3 + 5

f(-2) = (-6) + 5

f(-2) = -1

Problem B:

f(x) = x2 - 2

f(-2) = (-2)2 - 2

f(-2) = (-4) - 2

f(-2) = -6

Answer:

The function is:

Missing numbers:

Answer:

the area is 153,600 square feet

Step-by-step explanation:

240 feet × 40 feet = 9600 square feet  

9600 x 16 = 153,600 square feet

5 star please if this help. Hope it help. :)))

Answer:

the area is 153,600 square feet

Step-by-step explanation:

240 feet × 40 feet = 9600 square feet  

9600 x 16 = 153,600 square feet

Answer:

Each student will get 7 sheets with 11 sheets left over.

Step-by-step explanation:

divide 200 and 27 to get 7

7 sheets for each student

then multiply 27 and 7 to see how many sheets of paper she gave to her students.

that will give you 189

then 200-189=11 sheets left over

Answer:

66 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the base area and h the perpendicular height )

A = [tex]\frac{1}{2}[/tex] × 4 × 3 = 6 cm² ( Area of triangular base ) and h = 11

V = 6 × 11 = 66 cm³

Answer:

Angle E corresponds to angle L

The two triangles are similar

Step-by-step explanation:

The information given has been sketched in a diagram attached below.

✔️In ∆EFG:

EF = 6 m

FG = 5 m

EG = 7 m

<F = 87°

<G = 58°

<E = 180 - (87° + 58°) (sum of triangles)

<E = 35°

✔️In ∆KLJ:

KL = 28 m

LJ = 24 m

JK = 20 m

<K = 58°

<L = 35°

<J = 87°

✔️Let's compare both triangles:

<K = <G = 87° (corresponding angles)

Therefore, length of the sides opposite each angle corresponds to each other, which is:

LJ corresponds to EF, hence:

LJ/EF = 24/6 = 4 (corresponding sides are proportional)

<J = <F = 87° (corresponding angles)

KL corresponds to EG, hence:

KL/EF = 28/7 = 4 (both sides are proportional)

<L = <E = 35° (corresponding angles are equal)

JK corresponds to FG, hence:

JK/FG = 20/5 = 4 (both sides are proportional).

As we can see from the above, all three angles of both triangles are congruent/equal to each other. This means they have the same shape.

Also, all three corresponding sides of both triangles are proportional. This means they have different sizes.

Therefore, we can conclude that both triangles are similar to each other because they have corresponding angles that are equal, while their corresponding sides are proportional.

The following statements therefore apply:

Angle E corresponds to angle L

The two triangles are similar

Answer:

Angle E corresponds to angle L

The two triangles are similar

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: Simon

Explanation: Simon had more data in the sample, therefore the data will always be more accurate.

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

Step-by-step explanation:

The larger the number of throws  the closer the results will be to the probability of a head.  That is for a fair coin it should be close to 50%.

With only 10 throws you could get a result not close to 50% but the coin could still be fair.

So Simon's results ( 100 throws)  would be more useful to decide if the coin is biased or not.

3(7) -(-5)/2

21 + 5/2

47/2

that's all

Answer:

x=7

y=−5

D= 47/2=23.5

Answer:

(a+b)*(a+b)

c*c

(1/2*a*b)*4

Step-by-step explanation:

The area of a square is equal to side times side, so a+b=one of the sides of a square so you multiply this by another a+b to get the whole square

Same as the last part but c is equal to one side so we do c*c for the are

The area of a triangle is 1/2*base*height, so we do 1/2*a*b since a is equal to the base of the triangle and b is equal to the height. This is only equal to 1 triangle so we multiply this by 4 since there are 4 triangles in total

Answer:

1.47 years

Step-by-step explanation:

Given that,

The height of male elephant is given by the formula,

[tex]h=62.5\sqrt[3]{t} +75.8[/tex]

If h = 275 cm, we need to find the age of the elephant.

Put h = 275 cm in the above formula,

[tex]275=62.5\sqrt[3]{t} +75.8\\\\275-75.8=62.5\sqrt[3]{t}\\\\199.2=62.5\sqrt[3]{t}\\\\t=1.47\ years[/tex]

So, the required time be 1.47 years.

Where is the picture?

Answer:

a) ∠EAB = 180° - 90° - 30° = 60°

∠EBA = 180° - 90° - 60° = 30°

a) ∠EBA = 30°

b) ∠DCA = 180° - 90° - 30° = 60°

∠EBA ≅ ∠DAC, ∠EAB ≅ ∠DCA, ∠AEB ≅ ∠CDA

ΔEBA ≅ ΔDAC because of the AAA postulate

c) EB ≅ DA, EA ≅ DC, AB ≅ CA

d) AB = CA     given

sin ∠EAB = EB/AB       (sin 60°)   EB = (0.8660)AB

cos ∠EAB = EA/AB      (cos 60°)  EA = (0.5)AB

cos ∠DAC = AD/CA     (cos 30°)  AD = (0.8660)CA

sin ∠DAC = CD/CA      (sin 30°)   CD = (0.5)CA

ED = EA + AD

ED = (0.5)AB + (0.8660)CA

since AB = CA,  ED = 1.366CA

since EB = (0.8660)AB and AB = CA, then EB = 0.866CA

since CD = 0.5CA,

EB  + CD = 0.866CA + 0.5CA = 1.366CA

EB + CD = 1.366CA

1.366CA = 1.366CA

Proof: ED = EB + CD

Answer:

x=43°

Step-by-step explanation:

The angles are adjacent and create a straight line so their sum is 180°.

(x+6)°+(3x+2)°=180°

x°+6°+3x°+2°=180°

4x°+8°=180°

4x°=172°

x=43°

Answer:

sphere

hope this answer helps you..

Answer:

i don't know xD cya later

Step-by-step explanation:

[tex]\sqrt{36/4} =[/tex][tex]\sqrt{36} /\sqrt{4}[/tex]

[tex]\sqrt{36}=6[/tex]

[tex]\sqrt{4} =2[/tex]

6/2=3

Hope that helps :)

☁️ Answer ☁️

x^2 - 2xy + y^2

(Im not sure if it's correct)

Hope it helps.

Have a nice day noona/hyung.

Answer:

x²-2xy+y²

Step-by-step explanation:

(x-y)² is the same as (x-y)(x-y).

First you would do x×x=x²

Then you would do x×-y= -xy

After that you do -y×x= -xy

Then do -y×-y= y²

You would then put it into an equation like this:

x²-xy-xy+y²

And then simplify it to:

x²-2xy+y²

Hope this helps :)

Answer:

Steps:

d² = (8-(-4))²+(9-5)²

d² = (8+4)² + 4²

d² = 12² + 4²

d² = 144 + 16

d² = 160

d = √160

Answer:

C. No, because there is an input value that has two different output values.

Step-by-step explanation:

A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it. y-values can be repeated. x-values can NOT be repeated.

Answer:

5 units

Step-by-step explanation:

Here, The distance between two points is 5 units

-TheUnknownScientist