Frazer scores 70% in a spelling test. If there are 40 spellings, how many did he get right?

Answer:

109

Step-by-step explanation:

the sum of 37 and 72 is equal to x

proof:  

37+72 = 109

three angles of a triangle form 180 degree

to find the angle which is not given,

180 - 109  = 71

as you can see, angle with the measure 71 degree and angle x form a straight line, which means their sum is 180

so,

x = 180 - 71

x = 109

that means ,

=>    37+72 = x

=>    109 = 109            [ 37+72 = 109, x = 109]

hope this helps :)

Answer:

Step-by-step explanation:

Find the value of x in this triangle .

We know that sum of all the interior angles of triangle is equal to 180° . Then ,

Therefore , Angle y = 71° .

Now , We know that Angle 3 and Angle 4 is equal to 180° because they are Linear pair . So ,

Therefore , value of Angle x is 109° .

Answer:

25

Step-by-step explanation:

Distance (d) = √(11 - -13)2 + (2 - 9)2

= √(24)2 + (-7)2

= √625

= 25

Answer: 25 is the answer

Step-by-step explanation:

Answer:

what are the models

Step-by-step explanation:

but 4/16 and ¼ are both equivalent fractions for 2/8

Answer:

48.81

Step-by-step explanation:

Since we are given a right triangle, and we are trying to find a angle, we use the

SOH-CAH- TOA.

In relation to the angle, we know a side opposite of the angle and the side adjacent to the angle.

We use Tangent, which states that

[tex] \tan(x) = \frac{o}{a} [/tex]

Here the opposite side is 8

The adjacent side is 7.

[tex] \tan(x) = \frac{8}{7} [/tex]

Take the Inverse Tangent,

[tex] \tan {}^{ - 1} (( \tan(x) ) = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]

[tex]x = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]

Which gives us 48.81

Answer:

∠ A ≈ 48.81°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{7}[/tex] , then

∠ A = [tex]tan^{-1}[/tex] ( [tex]\frac{8}{7}[/tex] )  ≈ 48.81° ( to the nearest hundredth )

Answer:

Step-by-step explanation:

Each number has initially 10 options.

If one option used for the first number then the second number has one less, 9 options. Similarly, the third number has one less number of options than the second number, 8 options.

Total number of combinations is

Answer:

1 2 3 ways for it to function

Step-by-step explanation:

Answer:

Hope the pictures will help you.

The solution to the system of equations is x = -2 and y = 5.

Given the parameters:

7y - 5x = 45

x = 8 - 2y

To solve the system of equations, substitute the expression for x from the second equation into the first equation.

7y - 5x = 45

Plug in x = 8 - 2y:

7y - 5( 8 - 2y) = 45

7y - 40 + 10y = 45

Collect and add like terms:

7y + 10y = 45 + 40

17y = 85

y = 85/17

y = 5

Plug the value of y into the second equation and solve for x:

x = 8 - 2y

Plug in y = 5:

x = 8 - 2( 5 )

x = 8 - 10

x = -2

Therefore, the value of x is -2 and y is 5.

Learn more about system of equations here: brainly.com/question/30319215

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Answer:

70%

Step-by-step explanation:

94/135 = x/100
x= (94/35)*100
x= 9400/3500
x= 1880/27
x=69.629
rounded to the nearest whole percent, x=70

Using the binomial distribution, it is found that:

3.1 There is a 0.5033 = 50.33% probability that he makes at most one sale.

3.2 There is a 0.8322 = 83.22% probability that he makes at least one sale.

3.3. There is a 0.4404 = 44.04% probability that he makes two or three sales.

3.4. There is a 0.0011 = 0.11% probability that he makes six sales.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

Item 1:

The probability that he makes at most one sale is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.2)^{0}.(0.8)^{8} = 0.1678[/tex]

[tex]P(X = 1) = C_{8,1}.(0.2)^{1}.(0.8)^{7} = 0.3355[/tex]

Then:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1678 + 0.3355 = 0.5033[/tex]

There is a 0.5033 = 50.33% probability that he makes at most one sale.

Item 2:

The probability that he makes at least one sale is:

P(X > 1) = 1 - P(X = 0) = 1 - 0.1678 = 0.8322.

There is a 0.8322 = 83.22% probability that he makes at least one sale.

Item 3:

The probability that he makes two or three sales is given by:

[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{8,2}.(0.2)^{2}.(0.8)^{6} = 0.2936[/tex]

[tex]P(X = 3) = C_{8,1}.(0.2)^{3}.(0.8)^{5} = 0.1468[/tex]

Then:

[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3) = 0.2936 + 0.1468 = 0.4404[/tex]

There is a 0.4404 = 44.04% probability that he makes two or three sales.

Item 4:

The probability that he makes six sales is P(X = 6), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{8,6}.(0.2)^{6}.(0.8)^{2} = 0.0011[/tex]

There is a 0.0011 = 0.11% probability that he makes six sales.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

  not appropriate

Step-by-step explanation:

The values in the dataset increase, then decrease with incrasing values of the independent variable. A linear regresssion equation would match data with a (more or less) constant slope. It would not be a good match for this dataset.

A linear regression equation is not appropriate.

Answer:

90

Step-by-step explanation:

Measure of one arc = 90°

-> Measure of other arc = 360°- 90° = 270°

x° = 1/2 (270° - 90°)

-> x° = 1/2 * 180°

-> x° = 90°

-> x° = 90°

-> x = 90

Answer:

To find slope intercept, you must use the substitute term for slope, m, and then use the following equation. ↓

[tex](y = mx+b)[/tex]

Next, you want to use these terms to help you solve for b. ↓

[tex]Slope = m\\Points = x, y\\y-intercept = b[/tex]

Answer:

y=mx+b

Step-by-step explanation:

The slope intercept form is y=mx+b

M = slope

B = y-intecept

and when you substitue the numbers for the variables then you have it in slope-intercept formula

I hope it helps! Have a great day!

JellyBeanie~

Using the slope concept, it is found that the angle measurement has to be within 1.2º of 30º.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, considering the horizontal distance and the actual angle, the following equation is applied to find the actual height:

[tex]\tan{30^\circ} = \frac{h}{25}[/tex]

[tex]h = 25\tan{30^\circ}[/tex]

h = 14.43.

For an error of 5%, the bounds of h are as follows:

[tex]h_{min} = 0.95 \times 14.43 = 13.71[/tex]

[tex]h_{max} = 1.05 \times 14.43 = 15.15[/tex]

Hence, the angles will be given by:

[tex]\tan^{\alpha} = \frac{13.71}{25}[/tex]

[tex]\alpha = \tan^{-1}{\left(\frac{13.71}{25}\right)}[/tex]

[tex]\alpha = 28.8[/tex]

[tex]\tan^{\alpha} = \frac{15.15}{25}[/tex]

[tex]\alpha = \tan^{-1}{\left(\frac{15.15}{25}\right)}[/tex]

[tex]\alpha = 31.2[/tex]

Hence the angle measurement has to be within 1.2º of 30º.

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:

Low

Step-by-step explanation:

Low because it only overlaps twice.

The circle illustrates the theorems of angles in the same segment

Given that:

∠SKA = 74°

The angle SKA is at the center of the circle.

This means that:

Arc AS = 74°

Calculate Arc SN using:

SN + AS = 180°

Substitute 74 for AS

SN + 74° = 180°

Subtract 74 from both sides

SN = 106°

The arc SN is subtended by the angle NTS.

This means that:

∠NTS = 0.5 * SN

So, we have:

∠NTS = 0.5 * 106°

Evaluate

∠NTS = 53°

Hence, the measure of angle NTS is 53°

Given that:

∠BCA = (7w - 4)°

∠ADB = (5w + 20)°

Angles subtended by the same arc at the circumference are congruent.

So, we have:

7w - 4 = 5w + 20

Collect like terms

7w - 5w = 20 + 4

Evaluate

2w = 24

Divide by 2

w = 12

This implies that:

∠BCA = (7 * 12 - 4)°

Evaluate

∠BCA = 80°

The measure of arc AB is then calculated using:

AB = 360 - 2 * ∠BCA

This gives

AB = 360 - 2 * 80°

Evaluate

AB = 200°

Hence, the measure of arc AB is 200°

Read more about arcs and segments at:

https://brainly.com/question/16224342

Answer:

Step-by-step explanation:

Firsly ,we notice that the base of the prism is a regular pentagon

regular means the five sides of the pentagon are equal in measure .

_______

Formula :

Area of a regular pentagon B = 1/2 × p × a;

where p is the perimeter of the pentagon

          a is the apothem of the pentagon

_______________________________

then p = 5×6 = 30 ft

a = 4.1 ft. (Given)

therefore ,

B = 1/2    ×  p  ×   a

   = (1÷2) × 30 × 4.1 = 61.5 ft²

height of the prism h = 12 ft  (given)

Volume V = B × h = 61.5 × 12 = 738.ft³

Answer:

<DFE

Step-by-step explanation:

Verticle angles are when they are directly apart and equal. So,

The distance between Vega 3 and the Mars (MV) illustrates cosine function, and the distance is 29.1 million light years or 142.8 million light years

From the question, we have the following parameters

See attachment for the illustration of the given parameters.

The distance between Vega 3 and the Mars (MV) is then calculated using the following cosine function

VS² = MS²+ MV² - 2 * MS * MV * cos(Ф)

This gives

4489 = 8649+ MV² -  171.96MV

Subtract 8649 from both sides

MV² -  171.96MV = -4160

Rewrite as:

MV² -  171.96MV + 4160 = 0

Using a graphing tool, we have:

MV = 29.1 and MV = 142.8

Hence, the distance between Vega 3 and the Mars is 29.1 million light years or 142.8 million light years

Read more about distance at:

https://brainly.com/question/16485848

Answer:

Here,

First Find distance between them by using formula √+x2-x1)2+(y2-y1)2

Then use the equation and then find locus.

Answer:

7/32

Step-by-step explanation:

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

To find a fraction between 1/4 and 1/5:

1. Make common denominators with both fractions. The larger the common denominator, the more you will find.

2. Choose any fraction between 1/4 and 1/5. That fraction will be in between 1/4 and 1/5.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

[tex]\dfrac{1}{4}\ \text{and }\dfrac{1}{5} \ \rightarrow \ \dfrac{1 \times 40}{4 \times 40} \ \text{and} \ \dfrac{1 \times 32}{5 \times 32} \ \rightarrow \ \dfrac{40}{160} \ \text{and} \ \dfrac{32}{160}[/tex]

Now, you may choose any fraction between 40/160 and 32/160.

My chosen fraction is 35/160, which when simplified, gives 7/32.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Answer:

[tex]\dfrac{9}{40}[/tex]

Step-by-step explanation:

Subtract 1/5 from 1/4, divide by 2, then add to 1/5:

[tex]\implies \dfrac{\frac14-\frac15}{2}+\dfrac15[/tex]

[tex]\implies \dfrac{\frac{5}{20}-\frac{4}{20}}{2}+\dfrac15[/tex]

[tex]\implies \dfrac{\frac{1}{20}}{2}+\dfrac15[/tex]

[tex]\implies \dfrac{1}{20} \times \dfrac12+\dfrac15[/tex]

[tex]\implies \dfrac{1}{40}+\dfrac15[/tex]

[tex]\implies \dfrac{1}{40}+\dfrac{8}{40}[/tex]

[tex]\implies \dfrac{9}{40}[/tex]

Answer:

Step 2-3

Step-by-step explanation:

I don't know what's wrong with step 2 but in step 3 the student added the exponent instead of multiplying.

That automatically makes every other step done afterwards wrong but it's not 3-4 because the math is right it's just that step 3 messed up step 4 laws of exponent wise.

Answer:

Yes its all of the above or jsut rational

If right please make brainleist for others to learn from this answer thanks!

Step-by-step explanation:

Answer:

7/2(a+b)

Step-by-step explanation:

To add fractions you need to find the LCM (least common multiplier) and then combine.

least common multiplier of a+b, 2(a+b) : 2(a + b)

Adjust fractions based of LCM

2/2(a + b) + 5/2(a +b)

2+5/2 (a + b) =

7/2 (a + b)

I hope this makes sense! :)

Answer:

128

Step-by-step explanation:

32 × 4 = 128

Each tank has 32, and there are four, so 32 times 4.

The store has 128 fish in the tank.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that pet store has 4 tanks of fish. Each tank has 32 fish.

Therefore,

Total fish =  Number of fish that a tank can hold x Number of tanks

32 × 4 = 128

Hence, we get 32 for each tank, and there are four,

Thus, 32 times 4.

Learn more about multiplications;

https://brainly.com/question/14059007

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Answer:

Corral 4

Step-by-step explanation:

we need to divide  the area of the corral by the Number of animals In order To know the dedicated  space for each animal

Corral 1 :

(50×40)÷110 = 18.181818181818 < 20

Then it doesn’t meet the requirements.

Corral 2 :

(60×35)÷115 = 18.260869565217 < 20

Then it doesn’t meet the requirements

Corral 3 :

(55×45)÷125 = 19.8 < 20

Then it doesn’t meet the requirements

Corral 4 :

(65×40)÷130 = 20

Then It meets the requirements

Answer:

non renewable you can't renew what you already bought and renewable you can renew what you bought

Answer:

yes

Step-by-step explanation:

Answer:

First problem:  max when x = 4

Second problem:  min when x = 1

Step-by-step explanation:

The graph of f(x) = –|x – 4| – 5 is a translation of that of g(x) = -|x|.  The vertex of the latter is (0, 0).  First this must be translated 4 units to the right and then the resulting graph 5 units downward.  The vertex of this translation is (4, -5).  Since this graph opens downward, this (4, -5) is the maximum function value, that is, when x = 4.

The graph of f(x) = x2 – 2x +­ 1, or (better yet) f(x) = x^2 – 2x +­ 1, or

f(x) = (x - 1)^2 + 0, is that of a parabola that opens upward and has its minimum at x = 1, or (1, 0).