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PolarNik [594]
3 years ago
10

Write log7(2 ⋅ 6) + log73 as a single log. Log Subscript 7 Baseline 11 Log Subscript 7 Baseline 15 Log Subscript 7 Baseline 36

Mathematics
2 answers:
zhannawk [14.2K]3 years ago
8 0

Answer:

C. log7 36....................................

algol133 years ago
7 0

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

Log _ 7 36

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

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#2 is the one I need help with
sleet_krkn [62]

Step-by-step explanation:

By arc sum Postulate of a circle:

2 x + 3x + 4x = 360°

9x = 360°

x = 360°/9

x = 40°

3x = 3* 40° = 120°

By inscribed angle theorem:

m\angle 1= \frac {1}{2} \times 3x\\\\\therefore m\angle 1= \frac {1}{2} \times 120°\\\\\huge \red {\boxed {\therefore m\angle 1= 60°}}

By tangent secant theorem:

m\angle 2 = \frac {1}{2} \times 3x\\\\\therefore m\angle 2 = \frac {1}{2} \times 120°\\\\\huge \purple {\boxed {\therefore m\angle 2 = 60°}}

Since, measure of central angle is equal to the measure of its corresponding minor arc.

m\angle 3 = 3x\\\\\huge \pink {\boxed {\therefore m\angle 3 = 120°}}

By angle sum Postulate of a triangle:

m\angle 3 + 2 m\angle 4 = 180°\\\\120° + 2 m\angle 4 = 180° \\\\2 m\angle 4 = 180°- 120° \\\\2 m\angle 4 = 60° \\\\m\angle 4 = \frac {60°}{2} \\\\\huge \orange {\boxed {m\angle 4 =30°}}

3 0
3 years ago
Triangle ABC is an isosceles triangle in which side
Shkiper50 [21]

Answer:

Option B.

Step-by-step explanation:

Consider the below figure attached with this question.

It is given that triangle ABC is an isosceles triangle.

From the below figure it is clear that the vertices of triangle are A(-2,-4), B(2,-1) and C(3,-4).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using this formula, we get

AB=\sqrt{(2-(-2))^2+(-1-(-4))^2}=\sqrt{16+9}=5

BC=\sqrt{(3-2)^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}

AC=\sqrt{(3-(-2))^2+(-4-(-4))^2}=\sqrt{25}=5

Now,

Perimeter of triangle ABC = AB + BC + AC

                        =5+\sqrt{10}+5

                        =10+\sqrt{10}

So, perimeter of triangle ABC is 10+\sqrt{10} units.

Therefore, the correct option is B.

4 0
3 years ago
Read 2 more answers
If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to (s t)(-7)? A. -439 B. -141 C. 153 D. 443
Ulleksa [173]
Answer: Option A -439

(s o t)(x)=s(t(x))
(s o t)(-7)=s(t(-7))
x=-7→t(-7)=3(-7)→t(-7)=-21
(s o t)(-7)=s(t(-7))=s(-21)
x=-21→s(-21)=2-(-21)^2=2-441→s(-21)=-439
(s o t)(-7)=s(t(-7))=s(-21)=-439
Answer: Option A -439
5 0
3 years ago
Read 2 more answers
Please anybody help me in this
Simora [160]

Answer:

<h2>a) 0.38</h2><h2>b) 0.62</h2><h2>c) 0.78</h2><h2>d) 0.03</h2><h2>e) 0.02</h2><h2>f) 0.62</h2><h2>g) 0.38</h2>

Step-by-step explanation:

a)

Probability of a owner to be moved = \frac{total owner}{total Americans} = \frac{14.8}{39} = 0.379 ≅ 0.38

b)

Probability of a renter to be moved = \frac{total renters}{total Americans} = \frac{24.2}{39} = 0.62

c)

Probability of a person who moved in the same state = \frac{Persons who moved to the same state}{Total Americans} = \frac{30.4}{39} = 0.779 ≅ 0.78

d)

Probability of a person who moved to a different country = \frac{Total moved to different country}{Total Americans} = \frac{1.3}{39} = 0.033 ≅0.03

e)

Probability of a owner who moved to a different country = \frac{Owners that moved to different country}{Total people who moved to different country} = \frac{0.3}{14.8} = 0.02

f)

Probability of a renter moving in the same state = \frac{Renter that moved in the same state}{Total persons moved in the same state} = \frac{18.7}{30.4} = 0.615 ≅ 0.62

g)

Probability of an owner moved to different state = \frac{Owners moved in different state}{Total moved in different state} = \frac{2.8}{7.3} ≅0.38

3 0
3 years ago
Greg buys a home for $328,500. His home is predicted to increase in value 4% each year. What is the predicted value of his home
GaryK [48]
The initial value of the Greg`s home: $328,500. If his home is predicted to increase in value 4% each year, that means that the value will rise 1.04 times every year.
The predicted value after 30 years:
$328,500 * ( 1 + 0.04 ) ^30 = 
= $328,500 * 1.04^30 = 
= $328,500 * 3.2434 = 
= $1,065,456.
Answer: The predicted value of his home in 30 years is $1,065,456.
5 0
3 years ago
Read 2 more answers
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