(1) Triangle ABC is an isosceles triangle.
Find the altitude h.
B
45°

The solution to the equation 3(2 + 3 + 5), 13(9 + 6 - 3), (9 + 6 - 3) ÷ 3, 3(2. 3. 5) and 3 ÷ (9 + 6 - 3)  is 30, 156, 4, 90 and 1/4 respectively

An equation is an expression that shows the relationship between two or more numbers and variables.

a) 3(2 + 3 + 5)

= 3(10) = 30

b) 13(9 + 6 - 3)

= 13(12) = 156

c) (9 + 6 - 3) ÷ 3

= 12 ÷ 3 = 4

d) 3(2. 3. 5)

= 3(30) = 90

e) 3 ÷ (9 + 6 - 3) = 3 ÷ 12 = 1/4

The solution to the equation 3(2 + 3 + 5), 13(9 + 6 - 3), (9 + 6 - 3) ÷ 3, 3(2. 3. 5) and 3 ÷ (9 + 6 - 3)  is 30, 156, 4, 90 and 1/4 respectively

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Answer:

14pi

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

The formula for the circumference

= 2πr   where r is the radius

= 2 * π * 7

= 14π

= 43.98 units to the nearest hundredth.

Answer: B. the two triangles are not Side-side-side

From the diagram, the two triangles are similar based on the angle-angle similarity theorem.

An equation is an expression that shows the relationship between two or more variables and numbers.

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

From the diagram, the two triangles are similar based on the angle-angle similarity theorem.

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The area of the square LMNP is 50 square units

The circumference of the circle is given as:

C = 10π

Circumference is calculated as:

C = 2πr

So, we have:

2πr = 10π

Divide by 2π

r = 5

This represents the length OM

The length PM is calculated as:

PM = 2 * OM

This gives

PM = 2 * 5

PM = 10

The length (PN) of the square is then calculated as:

PM = PN√2

This gives

10 = PN√2

Square both sides

100 = PN^2 * 2

Divide by 2

50 = PN^2

Rewrite as:

PN^2 = 50

Hence, the area of the square LMNP is 50 square units

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Answer:

5

Step-by-step explanation:

28 - 12 = 16

28 / 35 = 16 / 4x

28 = 4 * 7

35 = 5 * 7

16 = 4 * 4

4x = 4 * x

( 4 * 7 ) / ( 5 * 7 ) = ( 4 * 4 ) / ( 4 * x )

( 4 / 5 ) = ( 4 / x )

Cross multiply,

4 * x = 5 * 4

Divide 4 on both sides,

x = 5

Answer:

c

Step-by-step explanation:

i think

Jose should charge $0.65 for each bag if he intends to sell the bag for $0.15 more than he paid.

Mathematical problems dealing with word problems can be solved by arranging data given into variables and using the appropriate arithmetic operation to solve them.

From the given information:

If Jose bought a 750 bag of peanuts for $375.00. It means that he bought each bag(1 bag) for:

[tex]\mathbf{=\$\dfrac{375}{750}}[/tex]

= $0.5

However, he intends to sell each bag for $0.15 more than he paid; Then the amount he should charge for each bag is:

=$0.5 + $0.15

=$0.65

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Answer: The last, bottom, or 4th option.

Step-by-step explanation:

See attached.

    By looking through the details of the information given, we can narrow down the correct answer to option 4.

Answer:

3

Step-by-step explanation:

The probability that the number of residents that recognize the brand is not 4 is 0.86 , the probability that at least 7 people will recognize the brand is 0.29 and the probability that at most 5 people will recognize the coffee shop is 0.39.

Given Recognition rate of brand in town of Coffleton is 57% and sample size is 10.

We have to use binomial distribution:

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

[tex]C_{n,x} =C!/r!(C-r)![/tex]

A) The parameters are as under:

x is the number of successes.

n is the number of trials which is 10 in this question.

p is the probability.

In this problem :

The brand name of a certain chain of coffee shops has 57% recognition rate in the town of coffleton , hence p=0.53.

There is a sample of 10 residents, n=10.

Probability that the no. of people that recognize the brand name is not 4 is as  under:

P(X≠4)=1-P(X=4)

P(X=4)=[tex]C_{10,4}(0.53)^{4} (0.43)^{6}[/tex]

=0.1395

P(X≠4)=1-0.1395

=0.8605

B) P(X>=7)=[tex]C_{10,7} (0.57)^{7} (0.43)^{3} +C_{10,8} (0.57)^{8} (0.43)^{2} +C_{10,9} (0.57)^{9} (0.43)^{1} +C_{10,10} (0.57)^{10} (0.43)^{0}[/tex]

=0.18012+0.081+0.0258+0.0036

=0.29

C)P(X<=5)=[tex]C_{10,1} (0.57)^{1} (0.43)^{9} +C_{10,2} (0.57)^{2} (0.43)^{8} +C_{10,3} (0.57)^{3} (0.43)^{7} +C_{10,4} (0.57)^{4} (0.43)^{6} +C_{10,5} (0.57)^{5} (0.43)^{5}[/tex]

=0.00285+0.0146205+0.0432+0.126+0.21168

=0.3983.

Hence the probability that the number of residents that recognize the brand is not 4 is 0.86 , the probability that at least 7 people will recognize the brand is 0.29 and the probability that at most 5 people will recognize the coffee shop is 0.39.

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Answer:

(x+3)^3 exponent is 3

Fewer births and increased survival rates are changing the shape of the population from a pyramid to a(n): Rectangle

It is given that fewer births and increased survival rates are changing the shape of the population from a pyramid.

Survival rates is the percentage of people in a study or treatment group who are still alive for a certain period of time after they were diagnosed with or started treatment for a disease, such as cancer.

A population pyramid is a way to visualize two variables: age and sex. They are used by demographers, who study populations. A population pyramid is a graph that shows the distribution of ages across a population divided down the center between male and female members of the population.

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An equation is formed of two equal expressions. The value of x is -28/9.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given expression can be simplified as,

[tex]2 \frac17+\dfrac37(3x-5)=-4\\\\\dfrac{15}{7} + \dfrac{9x-15}{7} = -4\\\\ \dfrac{15+9x-15}{7} = -4\\\\9x = -28\\\\x = \dfrac{-28}{9}[/tex]

Hence, the value of x is -28/9.

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Answer:

Step-by-step explanation:

Horizontal translation of the graph of a function is accomplished by replacing x with (x-h) for translation h units to the right. Vertical translation of the graph is accomplished by adding the amount of translation to the function value: f(x)+k translates the graph k units upward.

Reflection of a function over the x-axis is accomplished by changing the sign of every function value: -f(x).

We observe that f(x) has been transformed by ...

The effect of these transformations is (correspondingly) ...

__

The attached graph shows a function f(x) (red) and the transformed function (blue).

Sum of given complex numbers in polar form cos(pi/2) + i.sin(pi/2)

Complex number:

"The number of the type a + ib is called as complex number, where a, b are real numbers and  [tex]i= \sqrt{-1}[/tex]

What is polar form of the complex number?

"The polar form of a complex number z = x + iy

For given question,

The sum of given complex numbers would be w+z = 4cos(pi/2 + i sin(pi/2)+ 3 cos (3pi/2) + i sin(pi/2)

We know that:

cos(pi/2)= 0

sin(pi/2)=1

cos(3pi/2)=0

So, the sum of given complex numbers would be w+z:

=> 4cos(pi/2 + i sin(pi/2)+ 3 cos (3pi/2) + i sin(pi/2)

=> 4i + 3(-i)

= i

= 0+i

Therefore, the sum of given complex numbers in polar form as:

cos(pi/2) + i.sin(pi/2)

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Answer: B

Step-by-step explanation: on edge

The percentages for each acid are:

Here we just need to use the given formula:

[tex]percent\ disolved = \frac{initial\ mass - \ final \ mass}{initial \ mass}*100 \%[/tex]

For the 0% acid, the initial and final mass are the same:

initial mass = final mass = 10.3g

Then the percent dissolved is:

[tex]percent\ disolved = \frac{10.3g - 10.3g}{10.3g}*100 \% = 0 \%[/tex]

For the 33% acid we have:

Then:

[tex]percent\ disolved = \frac{10.1g - 10g}{10.1g}*100 \% = 1 \%[/tex]

For the 66% acid:

[tex]percent\ disolved = \frac{10g - 9.8g}{10g}*100 \% = 2 \%[/tex]

for the 100% acid:

[tex]percent\ disolved = \frac{9.9g - 9.5g}{9.9g}*100 \% = 4.2 \%[/tex]

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4 and 8 will equal the same since they are corresponding angles

So since 8 and 7 make a line they equal 180

180= 132+"7

Subtract both sides by 132

48=angle 7.



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The weight of sand per bag and price of sand per Ib is 3.75 lb per bag and $1.80 respectively.

Weight of sand per bag = Total weight of bags of sand ÷ Number of bags of sand

= 30 lb / 8

= 3.75 lb per bag

price of sand per Ib = $1.80

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Answer:

$1150 will be the weekly wage

Step-by-step explanation:

184 = 16%*x

184 = 0.16*x

184/0.16 = x

x = $1150

Here, "x" is her weekly wage.

Answer:

2/5

Step-by-step explanation:

To find the slope of a line segment, find the difference in y and divide by the difference in x (delta y / delta x)

Delta y: -7 - (-13) = 6

Delta x: 15 - 0 = 15

Slope = delta y / delta x

Slope = 6/15 = 2/5

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1.

[tex]2\cdot x^2+2\cdot x^1+1\cdot x^0=25\\2x^2+2x+1=25\\2x^2+2x-24=0\\x^2+x-12=0\\x^2+4x-3x-12=0\\x(x+4)-3(x+4)=0\\(x-3)(x+4)=0\\x=3 \vee x=-4[/tex]

The base can't be negative, therefore [tex]x=3[/tex].

2.

[tex]3\cdot x^0+3\cdot x^1+4\cdot x^0-4\cdot x^1+0\cdot x^0=0\\3+3x+4-4x=0\\x=7[/tex]

3.

[tex]2\cdot x^1+3\cdotx^0=1\cdot 2^3+1\cdot2^2+1\cdot2^1+1\cdot2^0\\2x+1=8+4+2+1\\2x=14\\x=7[/tex]

The sesame street tube bought by the blue bird costs $177.92 which contained one gallon of toothpaste.

Given,

cost of regular toothpaste = $1.39 for 2.7 ounce tube

But the bird took a tube of toothpaste that contained one gallon of toothpaste.

One gallon = 128 ounces

∴the total price at which the toothpaste is brought = price of normal toothpaste × one gallon(128 ounces)

= 1.39 × 128

=$177.92

Here we can observe that a gallon contains 128 ounces. so we need to multiply to the initial cost of the toothpaste to get the final amount of the toothpaste bought by the bird.

Hence the price at which the bird bought the toothpaste is $177.92

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Answer:

1/40 or 0.025

Step-by-step explanation:

the weight of baby el is 200

the weight of mama el is 8000

take 200/8000 and simplify.

if you divide the top by 200 then divide the bottom by 200

200 divided by 200 is 1

8000 divided by 200 is 40

so the simplest fraction is 1/40

if you type this in to a calculator, you will find that it equals 0.025

Answer:

ABCD is a parallelogram/Given

Line AB is parallel to line DC/Opposite sides of a parallelogram are equal

Line FD is congruent to Line FD/Reflexive property

Line BE is congruent to line BE/Reflexive property

Line AC is congruent to Line AC/Reflexive Property

Angle A is congruent to Angle BCD by Alternate Interior Angle Theorem

Angle BCD is congruent to Angle FCE by Vertical Angles Theorem

Angle A is congruent to Angle BCD by Transitive Property

Since intersection means the element in set A that are also in set B, hence (A ∩ B) = {3, 7}

Sets are arrangements of elements in a specific order. Given the following sets.

A = {1, 3, 7, 8, 11}

B = {2, 3, 6, 7, 12}

Determine the intersection of A and B

Since intersection means the element in set A that are also in set B, hence;

(A ∩ B) = {3, 7}

Hence the elements of (A ∩ B) is {3, 7}

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Answer:

D) (3,7)

Step-by-step explanation:

P(AnB) mean intersection, which is (3,7)

P(AUB) mean Union

However. if the question was asking this "What are the elements of P(AUB) then the answer would be A) {1, 2, 3, 6, 7, 8, 11, 12}.

But the question was asking for P(AnB) which is D) (3,7)

Answer:

arc TBU = 268°

Step-by-step explanation:

the measure of the tangent- chord angle TUV is half the measure of its intercepted arc UT , then

UT = 2 × 46° = 92°

the sum of the arcs in a circle = 360° , that is

TBU + UT = 360°

TBU + 92° = 360° ( subtract 92° from both sides )

TBU = 268°

sample standard deviation.

the sample standard deviation is used to estimate σ in the confidence interval formula. The quantity 1.96σ/ √n is often called the margin of error for the estimate.

Standard deviation (or σ) is a measure of how much the data extends from the mean. A low standard deviation means that the data is gathered around the mean, and a high standard deviation means that the data is more distributed.

Standard deviation is important because it shows how the values ​​are distributed in a particular dataset. Whenever I analyze a dataset, I am interested in finding the following metrics: The center of the dataset. The most common ways to measure the "intermediate" are mean and median. The root means square of the difference between the

observation and the sample mean is called the sample standard deviation. Two or more standard deviations from the mean are considered significant deviations.

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Answer:

The runner in first place is 16 meters ahead of the runner in last place

Step-by-step explanation:

There are 4 boys racing - Pete, Nick, Manny, and Oliver.

Pete is 11 meters ahead of Nick, Oliver is 10 meters ahead of Manny, and Oliver is ahead of Pete by 5 meters.

This means Oliver is ahead of the other three racers, putting him in first place, and Manny is between Nick and Pete.

So in order to find out the distance between the racer in first place (Oliver) and the racer in last place (Nick), add the distance between Oliver and Pete and the distance between Pete and Nick.

Add the distances: 5 + 11

Therefore, the runner in first place (Oliver) is 16 meters ahead of the runner in last place (Nick).

Step-by-step explanation:

Let the consecutive positive integer be x , x+1

now, we know that there product is less then 10000

so, x(x+1) = 10000

x² + x - 10000 = 0

On solving the quadractic equation,

we get the roots = (-100.50124999219 ), (99.501249992188)

since we are asked for less then 10000 we can approximate the answer to x = 99.5

Answer:

99.5

Step-by-step explanation:

Let the consecutive positive integer be n , n+1

now, we know that there product is less then 10000

so, n(n+1) = 10000

So, the question asked " Less than 10,000 " so, we get the roots = (-100.50124999219 ), (99.501249992188)

n² + n - 10000 = 0

Let's solve this equation together!

n approximate number is 99.5.

Answer:

$55

Step-by-step explanation:

Let c = cost of labour per hour

1) Set up an equation, where hours is denoted by c.

5.5c + 59 = 361.50

5.5c = 361.50 - 59

5.5c = 302.50

c = 302.50/5.5

c = 55

Therefore, the technician took $55 per hour.