Problems 5-9, Find the value of the variable to the nearest tenth of each triangle.

Answer:

I know but I will not tell you have to do by self

Answer:

Annual payment wil be 2,001 and total amount after compounded annually will be 27,001

Answer:

x ≥ 54

Step-by-step explanation:

x+x-4 ≥ 104

2x ≥ 104 + 4

2x ≥ 108

x ≥ 54

Answer:

55 Gallons

Step-by-step explanation:

143 - (8)(11)

143 - 88

143 -  88

55 gallons

Answer:

Step-by-step explanation:

Table I

Given function is,

f(x) = [tex]b^x[/tex]

From the table attached,

For x = 0.827, value of function f(0.827) = 5,

f(0.827) = [tex]b^{0.827}[/tex]

Therefore, [tex]b^{0.827}=5[/tex]

[tex]\text{log}(b^{0.827})=\text{log}(5)[/tex]

0.827[log(b)] = log(5)

log(b) = 0.8452

b = [tex]10^{0.8452}[/tex]

b = 7

Therefore, function 'f' will be,

f(x) = [tex]7^x[/tex]

For f(x) = 9,

9 = [tex]7^x[/tex]

log(9) = log([tex]7^x[/tex])

log(9) = x[log(7)]

x = 1.129

Table II

Given function is g(x) = [tex]\text{log}_b(x)[/tex]

From the given table,

For x = 7, g(x) = 1

1 = [tex]\text{log}_b(7)[/tex]

[tex]b^1=7[/tex]

b = 7

Therefore, the function 'g' will be,

g(x) = [tex]\text{log}_7(x)[/tex]

For g(x) = 1.318

1.318 = [tex]\text{log}_7(x)[/tex]

[tex]x=7^{1.318}[/tex]

[tex]x=12.9968[/tex]

[tex]x=13.997[/tex]

|x| basically means the count of how far from zero. It will always be a positive number.

So the answer is A. |-20| <  20

because 20 is not greater than 20

Answer:

Can you Specify the Question?

Answer:

(E) [tex]y=x+3[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis).

1) Determine the slope (m)

[tex]m=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-4,-1) and ( -1,2):

[tex]m=\displaystyle \frac{2-(-1)}{(-1)-(-4)}\\\\m=\displaystyle \frac{2+1}{-1+4}\\\\m=\displaystyle \frac{3}{3}\\\\m=1[/tex]

Therefore, the slope of the line is 1. Plug this into [tex]y=mx+b[/tex]:

[tex]y=1x+b\\y=x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=x+b[/tex]

Plug in one of the given points and solve for b:

[tex]2=-1+b\\2+1=b\\3=b[/tex]

Therefore, the y-intercept of the line is 3. Plug this back into the original equation:

[tex]y=x+3[/tex]

I hope this helps!

Answer:

D. {1}

Step-by-step explanation:

F(x)=3x−1

Let F(x) =2

2 = 3x-1

Add 1 to each side

2+1 = 3x-1+1

3 =3x

Divide by 3

3/3 = 3x/3

1 =x

Answer:

[tex]\frac{wx}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{7wxy}{35y}[/tex]

Cancel y on numerator/ denominator and 7/ 35 by 7, leaving

[tex]\frac{xx}{5}[/tex]

Answer:

P.=2(2x+5)+2(x-10)=80cm

6x-10=80

x=90/6=15cm

Area= L*W= 35*5=175 squared cm= 0.0175 squared m

Cost= 0.24 * 0.0175 = GHc 0.0042

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.  The cost of weeding the rectangular plot is 0.0042 GHc.

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

A.) The perimeter of a rectangular plot of land whose length is (2x+5) and width is (x-10) is 80cm. Therefore, we can write,

Perimeter of the rectangel = 2(L+W)

80 = 2[(2x+5)+(x-10)]

80/2 = 2x+5+x-10

40 = 3x -5

40+5 = 3x

x = 15

Hence, the value of x is 15.

B.) The length of the rectangle = (2x+5) = 2(15)+5 = 35 cm = 0.35 m

The width of the rectangle = (x-10) = 15-10 = 5 cm = 0.05 m

Now, the area of the rectangle = L×B = 0.35m × 0.05m  = 0.0175m²

C.) Given the cost of weeding 1m² is 0.24, therefore, the cost of weeding the rectangular plot is

Cost = 0.0175 × 0.24 = 0.0042 GHc

Hence, the cost of weeding the rectangular plot is 0.0042 GHc.

Learn more about Rectangle:

https://brainly.com/question/15019502

#SPJ2

Answer:

12/17

Step-by-step explanation:

Let

Numerator of the fraction = x

Denominator of the fraction = x + 5

The fraction is

x / (x + 5)

if both the numerator and denominator are increased by 3, the the resulting fraction becomes 3/4.

x + 3 / (x + 5) + 3 = 3/4

x + 3 / x + 8 = 3/4

Cross multiply

(x + 3)4 = (x + 8)3

4x + 12 = 3x + 24

4x - 3x = 24 - 12

x = 12

Recall,

x / (x + 5)

= 12 / (12 + 5)

= 12/17

The original equation = 12/17

Answer:

10

Step-by-step explanation:

ans is 10

because 2×5 is 10

Answer:

2x5= 10

Step-by-step explanation:

5, 10,15,20

five 2 times is 10

Answer:

C. [tex]-x-6>-3.5[/tex]

Step-by-step explanation:

One is asked to find which inequality has ([tex]x=-3[/tex]) in its solution set. Remember that an inequality is another way to represent a set of solutions. In essence, it states that all numbers less than; less than or equal to; greater than; or greater than or equal to, are a part of the solution. One simplifies an inequality in a similar manner to how one simplifies an equation, by using inverse operations and simplification. Just note that when multiplying or dividing the inequality by a negative number, one has to flip the inequality sign to ensure the expression remains true.

Simplify each of the inequalities, then evaluate to see which one has ([tex]x=-3[/tex]) as a part of its solution set.

A. [tex]-x -6<-3.5[/tex]

[tex]-x<2.5[/tex]

[tex]x>-2.5[/tex]

B. [tex]-x-6>3.5[/tex]

[tex]-x>9.5[/tex]

[tex]x<-9.5[/tex]

C. [tex]-x-6>-3.5[/tex]

[tex]-x>2.5[/tex]

[tex]x<-2.5[/tex]

D. [tex]x-6>-3.5[/tex]

[tex]x>2.5[/tex]

As can be seen, option (C [tex]-x-6>-3.5[/tex]) is the only one that fits this requirement. Since option (C) simplifies down to ([tex]x<-2.5[/tex]) or in words, (x) is less than (-2.5). This option is the only one that fits the solution since (-3) is less than (-2.5).

Answer:

Decreases the variability of a sample

Step-by-step explanation:

Given that the items are unrelated random variables, we have that the total of the variances of variates is the variance of their sum, that is the variance of the mean of a distribution is the variance of a sample in the distribution divided by the square root of the number of subjects in the sample (the sample size)

Therefore, we have;

[tex]\sigma_{\overline x} = \dfrac{\sigma }{\sqrt{n} }[/tex]

Therefore, increasing the size of a probability sample, decreases the variability of a sample and increases precision and level of confidence

Answer:

[tex]3\left(8-4x\right)<6\left(x-5\right)[/tex]

[tex]3(8-4x)=241-2x[/tex]

[tex]6(x-5)=6x-30[/tex]

[tex]24-12x<6x-30[/tex]

Subtract 24 from both sides

[tex]-12x<6x-54[/tex]

Now, subtract 6x from both sides

[tex]-18x<-54[/tex]

Multiply both sides by -1

[tex]18x>54[/tex]

Divide 18 from both sides

[tex]x>3[/tex]

OAmalOHopeO

Answer:

answer is 10 (very easy)

Answer:

380. 1

Step-by-step explanation:

A=π r2=π. 11^2= 380.13271

Answer:

given values are:

1200 = 20×30 + 1/2 × 30²a

1200= 600 + 1/2 × 900a

600 = 450a

a = 600 / 450

a = 1.33 m/s²

v² = 20² +2 × 1.33 × 1200

v²= 400 + 3192

v = √3592

v = 59.9 ≈ 60 m/s

Answer:

[tex]6 * 7^3 = 2058[/tex]

Step-by-step explanation:

Given

[tex]6 * 7^3[/tex]

Required

Solve

App;y law of indices:

[tex]6 * 7^3 = 6 * 7*7*7[/tex]

Multiply

[tex]6 * 7^3 = 2058[/tex]

Answer:

2nd option

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

19 - 11 < x < 19 + 11

8 < x < 30

Answer:

8 < x < 30

Step-by-step explanation:

The rule for side lengths of a triangle is:

the sum of two side's must be bigger than the third side and their difference must be smaller than the third side :

19 - 11 < x < 19 + 11

8 < x < 30

Answer:

Học sinh nam là 21 học sinh, số học sinh nữ là 15 học sinhH

Step-by-step explanation:

Tỉ số giữa nam và nữ là x/y = 7/5 => x/7 = y/5

áp dụng tính chất của dãy tỉ số bằng nhau, ta được:  

x/7 = y/5 => x-y =/7-5 = 6/2 = 3

Vì x/7 = 3 => x = 21

y/5 = 3 => y= 15

Vậy số học sinh nam là 21 học sinh, số học sinh nữ là 15 học sinh

Answer:

C BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

Step-by-step explanation:

In a certain class, a teacher distributed a few candies and a few bars among the students such that each student got an equal number of candies and an equal number of bars and no candies or bars remained undistributed. How many students were there in the class?

(1) The teacher distributed 180 candies and 40 bars.

(2) The total number of items received by each student was less than 20.

A Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient to answer the question asked.

B Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient to answer the question asked.

C BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.

D EACH statement ALONE is sufficient to answer the question asked.

E Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

180 candies and 40 bars

The highest common factor of 180 candies and 40 bars = 20

Answer:

9.8 cm

Step-by-step explanation:

Volume of a cylinder can be gotten with this formula

V=πr2h

h = height of the oil.

We were told that 3 litres of oil was removed, then, there is a falling in the level of oil by 10 cm, hence the height of the oil is now

h° =( h) - (0.1)

Then the new volume can be calculated as

V°= V - (3×10^-3)

But

volume= (π r2h°)

Then substitute we have

πr2h - 0.003 = π r2 (h-0.1)

If we open the bracket we have

0.003 = (πr2 ×0.1)

πr2=0.003/0.1

Then r=√ (0.03/0.1π)

=9.8 cm

Note that 1L = 10-3 m3

Answer:

hello,

Step-by-step explanation:

[tex]cos(3\theta)+cos(4\theta)\\\\=2*cos(\dfrac{4\theta+3\theta}{2} )*cos(\dfrac{4\theta-3\theta}{2} )\\\\\boxed{=2*cos(\dfrac{7\theta}{2} )*cos(\dfrac{\theta}{2} )}[/tex]

Answer: 1 month = 500ml

4 month = 500ml × 4 = 2000ml = 2L

you should use the 2L container

Step-by-step explanation:

Answer:

56.52 mm

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *

C = 2 * 3.14 * 9

C = 56.52

Answer:

[tex]56.52\text{ mm}[/tex]

Step-by-step explanation:

The circumference of a circle with radius [tex]r[/tex] is given by [tex]A=2r\pi[/tex].

We're given a radius of 9 mm and told to use [tex]\pi=3.14[/tex]. Substituting these values, we get:

[tex]A=2(9)(3.14),\\A=\boxed{56.52\text{ mm}}[/tex]

Answer:

147.4°

Step-by-step explanation:

Supplementary angles sum to 180° , then

supplementary angle = 180° - 32.6° = 147.4°

If you can show that the following two items are true

then you have shown that triangle A'B'C' is a translated or shifted copy of triangle ABC. In other words, they are the same triangle.