Round 5.78575184279 to the nearest whole number.

Answer:

[tex]\boxed{\bf \angle A=84^o}[/tex]

Step-by-step explanation:

From the given diagram, we can see that ∠B & ∠C are corresponding angles, which means that they are equal. The two angles that form a straight line are supplementary angles (the sum of two supplementary angles is 180°).

[tex]\bf 5x+34^o+\angle C=180^o[/tex]

[tex]\bf 5x+34^o+\angle B=180^o[/tex]

[tex]\bf 5x+34^o+2x+76^o=180^o[/tex]

Now, let's solve for x :-

[tex]\bf (5x+34^o)+(2x+76^o)=180^o[/tex]

[tex]\bf (5x+2x)+(34+76)=180^o[/tex]

[tex]\bf 7x+110=180^o[/tex]

[tex]\bf (7x+110)-110^o=180-110^o[/tex]

[tex]\bf 7x=70^o[/tex]

[tex]\bf \cfrac{7x}{7} =\cfrac{70}{7}[/tex]

[tex]\boxed{\bf x=10^o}[/tex]

Now, in order to find ∠A will substitute the value of x  into the expression:-[tex]\bf \angle A=5x+34^o[/tex]

[tex]\bf \angle A=5(10)+34^o[/tex]

[tex]\bf \angle A=84^o[/tex]

______________________

Answer:

(-1/2,2)

Step-by-step explanation:

2(4x+y=0)=8x+2y=0

8x+2y=0

-(8x-y=6)

3y=6

Divide both sides y=2

4x+2=0

4x=-2

divide both sides x=-1/2

Answer

The answer is 13

Step-by-step explanation:

I divided 2.21 by 0.17

Answer:

13 Erasers

Step-by-step explanation:

2.21 ⁒ 0.17 = 13

Hope this helps :)

The quadratic equation will have no real solutions.

Given quadratic equation is: [tex]ax^{2} +bx+c=0[/tex]

The discriminant(D) of a quadratic equation is [tex]D=b^{2}-4ac[/tex]. It depicts the nature of the roots.

[tex]D > 0[/tex] the roots are real and distinct.

[tex]D=0[/tex] the roots are real and equal.

[tex]D < 0[/tex]  the roots will be imaginary.

We have [tex]D=-16[/tex] which is negative.

So, the roots will be imaginary.

So, the given quadratic equation will have no real solutions.

Hence, the given quadratic equation has no real solutions.

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The table is an illustration of a quadratic function, and the range of Ella's table is 0 ≤ y ≤ 9

From the complete question, we have the following highlights:

The minimum output value is 0, and the maximum output value is 9

This means that the range of the table is 0 to 9

Express properly as:

0 ≤ y ≤ 9

Hence, the range of Ella's table is 0 ≤ y ≤ 9

Read more about range at:

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#SPJ1

Answer:

Times 10 magnify

Step-by-step explanation:

Answer:

14) D; 16) C.

Step-by-step explanation:

14) the given equation can be written (x-2)(x-1/2)=0;

D. -2; 1/2.

16. if the original length is 'x', then it is possible to make up the equation of area:

(x+3)²=225; ⇒ x=12;-18; x=12 [m], the C option.

Answer:

The value of x is 3

Step-by-step explanation:

=> −6 + x = −3

=> x = -3+6

=> x = 3

Answer: 9miles

Step-by-step explanation: ¾miles three days a week = 9/4 miles a week

In 4 weeks he will run 9/4 × 4/1

Answer:

8

Step-by-step explanation:

Hello!

Remember that any value to the power of 0, is always 1.

So we can simplify this expression using that knowledge.

Simplify:

The correct solution is 8.

Answer:

they both will fail because, it says that james has a 0.1 more chance of passing the test compared to Kian but it no where states the amount to pass the test nor that they both will pass

There were 8 people who surveyed exercise once a week or less out of the 50 people who were surveyed.

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

From the circle graph, percentage of the people surveyed exercise once a week or less = 100% - (10% + 40% + 20% + 14%) = 16%

Number of the people surveyed exercise once a week or less = 15% of 50 = 0.16 * 50 = 8

There were 8 people who surveyed exercise once a week or less

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Answer:

70 degrees

Step-by-step explanation:

Angles directly opposite are equal

Answer:

15/8 Hours

Step-by-step explanation:

To start, I would find see how long it takes to walk a mile.

1/3 · 3 = 1

1/4 · 3 = 3/4

So we now know that walking one mile takes 45 minutes. Next, I multiplied 1 mile by 2.5 and repeated the same process with the time.

3/4 · 5/2 = 15/8

Therefore, it takes 15/8 hours to walk 2.5 miles.

Answer:

-4

Step-by-step explanation:

9^2+19/(10^2-5^3)

9^2+19/(10^2-5^3)=81+19/100-125

9^2+19/(10^2-5^3)=81+19/100-125=100/-25

9^2+19/(10^2-5^3)=81+19/100-125=100/-25= -4

Answer:

$22,880.04 Without paying off the debt

$18,880.04 After paying off the debt

Step-by-step explanation:

Answer:

10.92

Step-by-step explanation:

26% is equivalent to 0.26 (% is in terms of 100, so if you divide the percent by 100, you gte the decimal form)

You just multiply the decimal form by the number and your result is the answer

0.26x42=10.92

Check the picture below.

Answer:

16.852

Step-by-step explanation:

Writing the worded terms

Standard form

Answer:

yeah it's perfect u did a grade job

-0.25 is rational.

Brainly patrol, don't you even dare.

288π cm³

================

volume of sphere: 4/3 * π * radius³

⇒ 4/3 * π * (6)³

⇒ 4/3 * 216 * π

⇒ 288π

Rational numbers are defined as "a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q." This quote can be broken down to make it easier to understand. In basic terms, a rational number is a real number that is an integer, fraction, terminating decimal, or repeating decimal.

Integer

An integer is any positive or negative whole number including 0. Examples of integers include 4, -9, and 0.

Fraction

All fractions that do not have a 0 denominator (which makes the number undefined) are rational numbers. Additionally, complex fractions are not always considered rational numbers. Complex fractions are fractions where either the numerator or denominator is a decimal or fraction itself. Examples of rational fractions include [tex]\frac{4}5}[/tex], [tex]\frac{7}{4}[/tex], and [tex]\frac{2}{2}[/tex].

Terminating Decimals

Terminating decimals are decimals that have a finite number of digits. This means that the decimal stops at some point. Examples of terminating decimals include 0.346, 0.47834, and 0.345832454525456

Repeating Decimals

Repeating decimals are any decimal that is not terminating but has some pattern that repeats for infinity. Examples of repeating decimals include [tex]0.\bar 9[/tex], [tex]0.\bar8\bar6[/tex], and [tex]0.\bar 5\bar7\bar8\bar4[/tex]. In this case, the bar notation represents numbers that repeat forever.

Answer:

To find fractions, multiply 5 by the numerator to find the denominator.

Step-by-step explanation:

Fractions:

1/5, 2/10, 3/15, etc.

Decimal:

0.2

Percentage:

20%

Answer:

Where is the question??

Answer:

5/8

Step-by-step explanation:

The population density of city-B is greater, so, the public bus must be used for city-B.

Population density (in agriculture: standing stock and standing crop) is a measurement of population per unit area.

The total population of city A= 51,242

The total area of city A =89.22 mi^2

The population density of city A is given by;

[tex]\rm Population \ density=\dfrac{Total \ population }{Total \ Area}\\\\ Population \ density=\dfrac{51,242}{89.22}\\\\ Population\ density=574.3331[/tex]

The total population of city B = 50178

The total area of city B =8.12 mi^2

The population density of city B is given by;

[tex]\rm Population \ density=\dfrac{Total \ population }{Total \ Area}\\\\Population \ density=\dfrac{50178}{8.12}\\\\Population \ density=6179.55665[/tex]

Hence, the population density of city-B is greater, so, the public bus must be used for city-B.

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Answer:

b is the answer

Step-by-step explanation: