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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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What is the equation of g(x)?
Ksenya-84 [330]

Answer:

g(x)=10^{x-3}

Step-by-step explanation:

Notice that function g(x) has the exat shape of function f(x), and it has just be translated to the right by 3 whole units.

Recall that horizontal translations to the right involve subtracting the number of units moved in the translation from the variable "x". therefore, in our case this means:

f(x)=10^x\\g(x)=10^{x-3}

4 0
3 years ago
Multiply the following binomials:<br> (x + 10)(x - 5)
SCORPION-xisa [38]

Answer:

X^2+5x-50

Step-by-step explanation:

X^2-5x+10x-50

8 0
3 years ago
Read 2 more answers
I need help on this question
vodka [1.7K]

Answer

Arc EF = 52°

Arc HD = 142°

Angle HGF = 128°

Explanation

To solve for the unknown angles, we need to first solve for x

To do that, we need to first note that the sum of angles on a straight line is 180°

So,

Angle HCG + Angle HCD = 180° (Sum of angles on a straight line)

Angle HCG = 2x

Angle HCD = 6x + 28°

Angle HCG + Angle HCD = 180°

2x + 6x + 28° = 180°

8x + 28° = 180°

8x = 180° - 28°

8x = 152°

Divide both sides by 8

(8x/8) = (152°/8)

x = 19°

Angle HCG = 2x = 2 (19°) = 38°

Angle HCD = 6x + 28° = 6(19°) + 28° = 142°

So, we can solve for the rest now

Arc EF = Angle ECF

= 90° - Angle ECD

Angle ECD = Angle HCG = 38° (Vertically opposite angles are equal)

Arc EF = Angle ECF

= 90° - Angle ECD

= 90° - 38°

= 52°

Arc HD = Angle HCD = 142°

Angle HGF = Angle HCG + Angle GCF = 38° + 90° = 128°

Hope this Helps!!!

6 0
1 year ago
Solve the equation.<br> у+ 6 = -3y + 26<br> оооо<br> o y= -8<br> o y= -5<br> е у= 5<br> o y= 8
slega [8]
Y = 5

5+6
11

-3(5) +26
-15+26
11

11=11
5 0
3 years ago
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the​ model, each tile has length
zvonat [6]

The two ways to find the ratio of the length is to turn the inches into feet or the feet into inches

So the answer can be solved like this:

1/36ft to 1/4ft which is 9:1 (blueprint size to actual size)

or

1/3in to 3in which is also 9:1 (blueprint size to actual size)

3 0
3 years ago
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