in science class savannah measures the temperature of a liquid to be 34 celsius. her teacher wants her to convert the temperature to degrees fahrenheit. what is the temperature of savannah's liquid to the nearest degress fahrenheit

Answer:

since the top of the ladder is making the angle, the of the ladder's base from the building is our opposite and the ladder is the hypotnuse,

sin (32)=opp/hyp, 0.52=opp/25, opp=13 ft

Answer:

x > 29

Step-by-step explanation:

−x<−29

Divide each side by -1, remembering to flip the inequality

x > 29

Answer:

Step-by-step explanation:

-x < -29   change the signs

x > 29

Answer:

The answer is 20

Step-by-step explanation:

(Edge2020)

Answer:

Its A on edge

Step-by-step explanation:

i took the test. good luck guys!

Answer:

D

Step-by-step explanation:

You can test this out with a number.

try dividing 23 by 8:

you will get 2 remainder 7 which works for the condition.

Note: Whenever you divide a number by x(other number) the remainder will always have to be to less than x:

The only one that applies to this aforementioned condition is 8.

Answer:

D

Step-by-step explanation:

The remainder can never be greater than the number by which it is divided

For example:

n = any number

n / 2 -> The remainder will never be greater than 2 (0 < remainder <2)

n / 3 -> The remainder will never be greater than 3 (0 < remainder <3)

n / 4 -> The remainder will never be greater than 4 (0 < remainder <4)

n / 5 -> The remainder will never be greater than 5 (0 < remainder <5)

n / 6 -> The remainder will never be greater than 6 (0 < remainder <6)

..... etc

Answer:

Step-by-step explanation:

PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

We have to do operations by the Order of Operations(PEMDAS)

Parentheses:

           Addition/Subtraction:

            (7 - 1)

             (6)

16/4 + 56 - 6

Multiplication/Division

4 + 56 - 6

Addition/Subtraction

60 - 6

Answer:

Step-by-step explanation:

Given two lines y=(3a+2)x-2 and 2y=(a-4)x+2, Since both lines are parallel to each other, this means that the slope of both lines are the same

Let's get the slope of both equation. For the first equation;

y=(3a+2)x-2

We can see that the equation is written in this form y = mx+c where m is the slope of the line. On comparison, the slope of the given line is 3a+2

Similarly for the second line;

2y=(a-4)x+2

Re-writing in the standard format we will have;

y = (a-4)x/2+2/2

y = (a-4)x/2 + 1

The slope of the second line is (a-4)/2

On equating the slope of both lines to get the value of 'a' we will have;

3a+2 = (a-4)/2

Cross multiplying

2(3a+2) = a-4

6a+4 = a-4

Collecting like terms;

6a-a = -4-4

5a = -8

a = -8/5

Hence the value of a is -8/5

Answer:

5

Step-by-step explanation:

We know that we have to add all numbers then divide it by how many numbers there are. So, 10 + 6 + 9 + 2 + 0 + 3 = 30.  30/6 = 5.  

Answer: 35.9

Step-by-step explanation:

The tree is approximately 35.979 feet tall, computed using the sine rule.

The sine rule in a triangle can be shown as this.

A triangle ABC, with the values of the side BC = a, CA = b, and AB = b, follows the rule by:

(Sin A)/a = (sin B)/b = (sin C)/c.

In the question, we are informed about Tasha who is willing to measure the height of a tree, which grows at an angle of 85° with respect to the ground. Also, we are informed that when Tasha is 80 feet away from the base of the tree, then the angle from the ground to the top of the tree is 25°.

We are asked to find the height of the tree.

We first draw a triangle using the given details, AB being the tree, and C being the point where Tasha is.

We know ∠A = 180° - (∠B + ∠C) {By angle sum property of triangles)

or, ∠A = 180° - (85° + 25°) = 180° - 110° = 70°.

Now, by sine rule, we can say that:

(Sin A)/a = (sin B)/b = (sin C)/c.

or, (Sin 70°)/80 = (sin 85°)/b = (sin 25°)/c,

or, 0.93969262078/80 = 0.42261826174/c {We ignored the middle term as we only need the height of the tree, that is, c}

or, c = 0.42261826174*80/0.93969262078/80

or, c = 35.9792768309.

Therefore, the tree is approximately 35.979 feet tall, computed using the sine rule.

Learn more about the sine rule at

https://brainly.com/question/4372174

#SPJ2

Answer:

9 sides

Step-by-step explanation:

The formula for number of sides of a polygon with a given central angle

Number of sides = 360°/ central angle

In the above question, we were told that each of the central angles in the polygon ha a measure of 40°

Hence,

Number of sides = 360°/40°

9 sides.

Therefore, the number of sides that polygon in the above question has is 9 sides.

Circumference of the cylinder :

C = 2 x pi x r

C = 2 x 3.14 x 25 = 157 cm

Multiply the circumference by number of wraps:

157 x 50 = 7,850 cm long ( 78.5 meters)

Answer:

AC2  =  AB2 + BC2     --->     AC2  =  122 + 52     --->   AC  =  13

AD / AB  =  AB / AC     --->     AD / 12  =  12 / 13     --->     AD  =  144/13

DC  =  AC - AD     --->   DC  =  13 - 144/13     --->     DC  =  25/13

AD / DB  =  DB / DC     --->   DB2  =  AD · DC     --->     DB2  =  (144/13) · (25/13)  --->     DB  =  60/13

DB is the geometric mean of AD and DC.

Step-by-step explanation:

Step-by-step explanation:

a. z = 5.5

25 ^( 5.5 - 4 ) = 125

25 ^ (1.5) = 125

125 = 125

z = 5.5

PlZzzzz follow me

Answer:

0.99379

Step-by-step explanation:

The first thing to do here is to calculate the z-score

mathematically;

z-score = x-mean/SD/√(n)

From the question x = 9.5 ,

mean = 9, SD = 2 and n = 100

Plugging the values we have;

z-score = (9.5-9)/2/√(100) = 0.5/2/10 = 0.5/0.2 = 2.5

So the probability we want to calculate is;

P(z<2.5)

We use the standard table for this

and that equals 0.99379

Answer:

Step-by-step explanation:

From the information given:

Mean [tex]\overline x = \dfrac{\sum x_i}{n}[/tex]

Mean [tex]\overline x = \dfrac{69+103+126+122+60+64}{6}[/tex]

Mean [tex]\overline x = \dfrac{544}{6}[/tex]

Mean [tex]\overline x = 90.67[/tex] pounds

Standard deviation [tex]s = \sqrt{\dfrac {\sum (x_i - \overline x) ^2}{n-1}[/tex]

Standard deviation [tex]s = \sqrt{\dfrac {(69 - 90.67)^2+(103 - 90.67)^2+ (126- 90.67) ^2+ ..+ (64 - 90.67)^2}{6-1}}[/tex]

Standard deviation s = 30.011 pounds

B) Find a 75% confidence interval for the population average weight of all adult mountain lions in the specified region.

At 75% confidence interval ; the level of significance ∝ = 1 - 0.75 = 0.25

[tex]t_{(\alpha/2)}[/tex] = 0.25/2

[tex]t_{(\alpha/2)}[/tex] = 0.125

t(0.125,5)=1.30

Degree of freedom = n - 1

Degree of freedom = 6 - 1

Degree of freedom = 5

Confidence interval  = [tex](\overline x - t_{(\alpha/2)(n-1)}(\dfrac{s}{\sqrt{n}})< \mu < (\overline x + t_{(\alpha/2)(n-1)}(\dfrac{s}{\sqrt{n}})[/tex]

Confidence interval  = [tex](90.67 - 1.30(\dfrac{30.011}{\sqrt{6}})< \mu < (90.67+ 1.30(\dfrac{30.011}{\sqrt{6}})[/tex]

Confidence interval  = [tex](90.67 - 1.30(12.252})< \mu < (90.67+ 1.30(12.252})[/tex]

Confidence interval  = [tex](90.67 - 15.9276 < \mu < (90.67+ 15.9276)[/tex]

Confidence interval  =  [tex](74.7424 < \mu <106.5976)[/tex]

i.e the lower limit = 74.74 pounds

    the upper limit = 106.60 pounds

Answer:

2.09 seconds.

Step-by-step explanation:

We are given...

y = 70 feet

v0 = 0 feet/second

a = 32 feet/second^2

We need to find t using the following equation...

y = v0 * t + (1/2) * a * t^2

70 = 0 * t + (1/2) * 32 * t^2

70 = (1/2) * 32 * t^2

70 = 16t^2

16t^2 = 70

t^2 = 4.375

t = sqrt(4.375)

t = 2.091650066

So, it will take the toy about 2.09 seconds to hit the ground.

Hope this helps!

Answer:

Step-by-step explanation:

[tex] \frac{x - 1}{x + 5} \times \frac{x + 1}{x - 5} [/tex]

To multiply the fraction, multiply the numerators and denominators separately

[tex] \frac{(x - 1) \times (x + 1)}{(x + 5) \times (x - 5)} [/tex]

Using [tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex] simplify the product

[tex] = \frac{ {x}^{2} - 1 }{ {x}^{2} - 25 } [/tex]

Hope this helps..

Best regards!!

Answer:

B.3

Step-by-step explanation:

to get the scale factor divide a side from the bigger triangle by the equivalent in the small one

15/5 = 3

Answer:

False

Step-by-step explanation:

A tessellation refest to a shape that is repeated over and over again covering a plane without any gaps or overlaps. The statement is false given that regular tessellations use only one polygon. Semi-regular tessellations are created with more than one type of regular polygon.

Answer:

[tex]\large \boxed{\sf \ \ \ -4x^2+8x-8 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex](f-g)(x)=f(x)-g(x)\\\\=3x-1 - (4x^2-5x+7)\\\\=3x-1-4x^2+5x-7\\\\=-4x^2+8x-8[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer: 64% of the variability in weight can be explained by the relationship with height.

Step-by-step explanation:

Here, r= 0.80

[tex]\Rightarrow\ r^2= (0.80)^2=0.64[/tex]

That means 64% of the variability in weight can be explained by the relationship with height.

The variability in weight is 64 % , explained by the relationship with height.

Correlation coefficients are always values between -1 and 1, where -1 shows a perfect, linear negative correlation, and 1 shows a perfect, linear positive correlation.

The correlation coefficient is measure the strength of the linear relationship between two variables in a correlation analysis.

Correlation coefficient is represented by r.

Given that, the correlation between height and weight for adults is 0.80.

                   [tex]r=0.8[/tex]

The variability in weight is, = [tex]r^{2}=(0.8)^{2} =0.64[/tex]

Thus, the variability in weight is 64 % , explained by the relationship with height.

Learn more:

https://brainly.com/question/24225260

Answer:

+2.718

Step-by-step explanation:

from the question,

the sample size is 12

therefore the degree of freedom,

df = 12 - 1

= 11

alpha = 1 - 0.98

= 0.02

this is because the confidence level is 98%

under the t distribution table, a degree of freedom of 11 and 0.02 alpha level = 2.718

the critical value t* = 2.718

I hope this helps!

Answer:

[tex]a_{n} = a + 2(n-1)[/tex]

Step-by-step explanation:

[tex]a_{5}= a_{1} + 4d \\4 = -4 +4d\\8= 4d\\d= 2\\\\Therefore \\a_{n} = a_{1} + 2(n-1)[/tex]

Answer:

increase of 30

Step-by-step explanation:

1255- 1075 = 180

This is an increase of 180

Divide by the number of numbers which is 6

180 /6 = 30

The mean will increase by 30

Answer:

+30

Step-by-step explanation:

1255- 1075 = 180

180 /6 = 30

Answer:

4.12 kg

Step-by-step explanation:

Regular cakes:

1 dozen normal sponge cakes: 264 g plain flour

Vegetarian cakes:

1 dozen cakes: 264 g plain flour

4 eggs are replaced by 4 * 30 g of flour = 120 g flour

total flour for 1 dozen vegetarian cakes = 264 g + 120 g = 384 g

Proportion for regular cakes:

12 cakes to 264 g flour = 100 cakes to x grams flour

12/264 = 100/x

12x = 26400

x = 2200

2200 g flour for 100 regular cakes

Proportion for vegetarian cakes:

12 cakes to 384 g flour = 60 cakes to y grams flour

12/384 = 60/y

12y = 384 * 60

12y = 23040

y = 1920

1920 g flour for 60 vegetarian cakes

Total flour needed:

2200 g + 1920 g = 4120 g

4120 g * 1 kg/(1000 g) = 4.12 kg

Answer: 4.12 kg

37.62202 sq units

First, calculate the areas of the separate triangles:

ABD = 20.19968 sq units

ACD = 17.46234 sq units

then add them to get 37.62202 sq units

Answer:

30.51 units^2

Step-by-step explanation:

Well to find the area of a triangle without height we use the following formula,

[tex]A = \sqrt{S(S-a)(S-b)(S-c)}[/tex]

To find S we use the following formula,

[tex]S = \frac{1}{2} (a+b+c)[/tex]

So a b and c are the sides of a triangle, we'll start with the left triangle.

S = 1/2(7 + 5.22 + 7.4)

S = 1/2(19.62)

S = 9.81

Now we can plug in 9.81 for S,

[tex]A = \sqrt{9.81(9.81-a)(9.81-b)(9.81-c)}[/tex]

[tex]A = \sqrt{9.81(9.81-7)(9.81-5.22)(9.81-7.4)}[/tex]

[tex]A = \sqrt{9.81(2.81)(4.59)(2.41)}[/tex]

[tex]A = \sqrt{9.81(31.083939)}[/tex]

[tex]A = \sqrt{304.93344159}[/tex]

[tex]A = 17.46234353086664[/tex]

But we can just simplify that to the nearest hundredth place which is,

17.46.

Now for the next triangle,

[tex]S = \frac{1}{2} (6.36 + 6.85 + 7.4)[/tex]

[tex]S = \frac{1}{2} (20.61)[/tex]

[tex]S = 10.305[/tex]

Plug in 10.305 for S,

[tex]A = \sqrt{10.305(10.305-6.36)(10.305-6.85)(10.305-7.4)}[/tex]

[tex]A = \sqrt{10.305(3.945)(3.455)(2.905)}[/tex]

[tex]A = \sqrt{10.305(16.534975)}[/tex]

[tex]A = \sqrt{170.392917375}[/tex]

A = 13.053463807549

We can round it to the nearest hundredth,

A = 13.05

So we just add 17.46 + 13.05

= 30.51 units^2

Thus,

the area of the figure is 30.51 units^2.

Hope this helps :)

Answer:

(x - 2)(x + 2)

Step-by-step explanation:

(x - 2)(x + 2) = x² - (2)² [Since (a - b)(a + b) = a² - b²]

                   = x² - 4

There are two terms in this expression. Therefore, the give term is a binomial.

(2x - 1)(x + 4) = 2x(x + 4) - 1(x + 4) [Distributive property]

                    = 2x² + 8x - x - 4

                    = 2x² + 7x - 4

There are three terms in this polynomial. Therefore, the given polynomial is a trinomial.

(x + 4)(x + 1) = x(x + 1) + 4(x + 1)

                   = x² + x + 4x + 4

                   = x² + 5x + 4

This polynomial is having 3 terms therefore, it's a trinomial.

(m - 4)(m + 1) = m(m + 1) - 4(m + 1)

                     = m² + m - 4m - 4

                     = m² - 3m - 4

Therefore, this polynomial is a trinomial.

Since (x - 2)(x + 2) is a binomial, so this expression doesn't belong to this group.

Answer:

Step-by-step explanation:

Using the formula for calculating the energy used up during the process;

Energy used up = Amount of CO₂ created.

Energy used up in the process = Power * Time.

Given Parameters:

Power = 3,030Watts

Converting to Kilowatts, power = 3030/1000 kW

Power (in kW) = 3.03kW

Time taken = 34 minutes

Converting to hour;

Since 60 minutes = 1hr

34minutes = (34/60)hr

34minutes = (17/30)hr

Required:

Energy used up = 3.03 * 17/30

Energy used up = 51.51/30

Energy used up = 1.717 kW/hr

Hence, amount of CO₂ created in kW/hr is 1.7 kW/hr to 1 decimal place.

Answer:

[tex]\huge\boxed{x=\pm4.5}[/tex]

Step-by-step explanation:

The quadratic formula of

[tex]ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

We have:

[tex]y=4x^2-81\to 4x^2-81=0\\\\a=4;\ b=0;\ c=-81[/tex]

substitute

[tex]x=\dfrac{-0\pm\sqrt{0^2-4(4)(-81)}}{2(4)}=\dfrac{\pm\sqrt{1296}}{8}=\dfrac{\pm36}{8}=\pm4.5[/tex]

Answer:

The central angle for the cheese sector would be 108 degrees.

Step-by-step explanation:

We know that a pi chart takes the form of a circle so the total angle measure is 360 degrees.

Now we want to find out what ratio of the pie chart that cheese takes up and apply it to the total degree measure.

30 of 100 students voted for cheese:

so the ratio would be 30/100 or 3/10

Now apply that to the total angle measure:

3/10*360 degrees= 108 degrees.

Answer:

5

Step-by-step explanation:

Find the z-scores.

z = (x − μ) / σ

z₁ = (92 − 82) / 5

z₁ = 2

z₁ = (97 − 82) / 5

z₂ = 3

Find the probability:

P(92 < X < 97)

P(2 < Z < 3)

P(Z < 3) − P(Z < 2)

0.9987 − 0.9772

0.0215

Find the number of tests:

0.0215 (241) ≈ 5