pqrs is a rhombus with angle pqr is equals to 58 determine angle PRS​

Answer:

y = 1 and x = 1

Step-by-step explanation:

We are given the equation  y=−5x+6    and    y=3x-2

because both of these equations have y on one side we can substitute the equation as

-5x+6 = 3x-2

(subtract 3x)

-8x+6 = -2

(subtract 6)

-8x = -8

(divide by -8)

x=1

Then all we need to do is put x into the equation

y=-5(1) +6

y = -5+6

y = 1

Answer:

- 5i.

Step-by-step explanation:

( 1 + 2 i ) ( − 2 − 1 i )

= 1 * -2 + 1*-1i + 2i*-2 - 2i*1i

= -2 - i - 4i - 2i^2           i^2 = -1 so we have:

-2 - 5i +2

= 0 - 5i

= -5i.

Answer:<5 and <4 are exterior angles

Step-by-step explanation:

Because they are the only ones outside it they are the only ones that are exterior angles!

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Answer:

for AL Its 3 and 4

Answer: 1x + 2y = 4

Step-by-step explanation:

The equation of the line is y = -1/2x + 2.

First, let's make 4 on one side of the equation.  First, bring x to the left.  y + 1/2x = 2.  Then multiply the whole equation by two.  Thus, 1x + 2y = 4.

Hope it helps <3

Answer:

Third graph from the top

Step-by-step explanation:

A proportional relationship is a straight line that goes through the point (0,0)

Answer:

Step-by-step explanation:

The third straight graph, since a proportion is a relationship in which a second variable is changed by a same value all the time (linear).

Hope this helps, if not, tell me and I shall try again

Answer:

x > 9

Step-by-step explanation:

Simply divide both sides by 4:

4x/4 > 36/4

x > 36/4

x > 9

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▹ Answer

x > 9

▹ Step-by-Step Explanation

4x > 36

---     --- → x > 9

4       4

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:12.4

Step-by-step explanation:

hyp=16,opp=x

sin 51°=[tex]\frac{x}{16}[/tex]

cross multipy

sin 51° x 16 = x

x=0.7771 x 16

x≅12.4

Answer:

40 because (8)(5)=40 when you add the numbers inside the parenthesis

Step-by-step explanation:

Look at my picture for the written work for ANOTHER method

To solve this problem, you use the method called FOIL.

F= multiply the FIRST terms

O= multiply the OUTTER terms

I= multiply the INNER terms

L= multiply the LAST terms

Please rate this the brainlist if this helped, thanks!

Answer:

[tex]40[/tex]

Step-by-step explanation:

[tex](2+6)(2+3)[/tex]

Solve brackets.

[tex](8)(5)[/tex]

Multiply.

[tex]=40[/tex]

Answer:

  x ║ z

Step-by-step explanation:

Lines parallel to the same line are parallel to each other.

x and z are both parallel to y, so are parallel to each other:

  x ║ z

The correct answers are B. What types of music does the 6th grade like? and C. How many sodas do Jack and his friends drink in a week?

Explanation:

Statistical questions are those that can only be answered by collecting and analyzing numerical data. This often implies gathering data from a group of individuals and using this to answer the question. Additionally, statistics questions are complex and do not have a direct or unique answer. In this context, the question "What types of music does the 6th grade like?" is statistical because to answer this, it is necessary to collect data from all students in 6th grade and analyze it. This occurs in "How many sodas do Jack and his friends drink in a week?" because it is necessary to know the number of sodas each person drinks in a week.

On the other hand, the questions "How many pairs of shoes do you own?" or "How many cats does Jack have?" are not statistical because it is not necessary to collect a lot of data to know the answer and they can be answered through only one number.

Answer:

A : [tex]5^{\frac{5}{6} }[/tex]

Step-by-step explanation:

Because you're multiplying two numbers with the same base, you can add their exponents:

[tex]\sqrt{5} = 5^{\frac{1}{2} } = 5^{\frac{3}{6} } \\\sqrt[3]{5} =5^{\frac{1}{3} } = 5^{\frac{2}{6} }[/tex]

[tex]5^{\frac{3}{6} } * 5^{\frac{2}{6} } = 5^{\frac{5}{6} }[/tex]

Answer:

So if you increase the sample size used to construct a given confidence interval, the confidence interval will be narrower, that is, more precise.

Step-by-step explanation:

The sample size is important to find the margin of errror of a confidence interval.

The margin of error is given by a formula in the following format:

[tex]M = \frac{c*s}{\sqrt{n}}[/tex]

In which c is the critical value(depends on the distribution used, can be T or Z), s is the standard deviation(of the sample or the population) and n is the size of the sample.

As n increases, M decreases, which leads to a lower margin of error.

The lower the margin of error, the more precise the interval is.

So if you increase the sample size used to construct a given confidence interval, the confidence interval will be narrower, that is, more precise.

Answer:

([tex]\sqrt{15}[/tex])/7

Step-by-step explanation:

Let b be the tird side of the triangle

tanθ= b/c

using the pythagorian theorem we get :

a²+b²= c² ⇒ b²= c²-a²= 8²-7²=15 ⇒b=√15

so: tanθ= √15/7

Answer:

94 cm

Step-by-step explanation:

The formula for finding the circumference of a circle is;

Circumference = 2πr

where π = [tex]\frac{22}{7}[/tex] or 3.14 and

r = radius

Here radius is 15 cm so;

Circumference = [tex]2 * \frac{22}{7} * 15[/tex]

                         = [tex]\frac{660}{7}[/tex]cm

                         = 94.28cm

                         = 94 cm (  rounded to the nearest centimetre )

Answer:

Option A is the right option

Step-by-step explanation:

BO is bisector of line AC

so,

AB=BC

AC=AB+BC

=8+8

= 16

Hope this helps...

Good luck on your assignment....

Answer:

16

Step-by-step explanation

BD is perpendicular bisector of AC so BC is 8.

8+8=16

Answer:

A = 5x + 5

Step-by-step explanation:

Area of Parallelogram Formula: A = bh

Since we are given b = 5 and h = x + 1, simply plug it into the formula:

A = 5(x + 1)

A = 5x + 5

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▹ Answer

A = 5x + 5

▹ Step-by-Step Explanation

A = bh

A = 5(x + 1)

A = 5x + 5

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

The margin of error of this confidence interval is MOE=0.085.

Step-by-step explanation:

The confidence interval bounds are usually calculated from a sample statistic substracting (for the lower bound) or adding (for the upper bound) the margin of error. This margin of error depends on the confidence level, the standard deviation and the sample size.

Then, if the lower and upper bound are calculated this way, we can calculate the margin of error as:

[tex]LB=p-MOE\\\\UB=p+MOE\\\\UB-LB=(p+MOE)-(p-MOE)=2\cdot MOE\\\\\\MOE=\dfrac{UB-LB}{2}=\dfrac{0.26-0.09}{2}=\dfrac{0.17}{2}=0.085[/tex]

Answer:

what is your problem

Step-by-step explanation:

Answer:

  -17.67 +3.43i

Step-by-step explanation:

Carry out the indicated math:

  18 cis 169° = (18·cos(169°) +i·18·sin(169°)) = (18·(-0.9816) +i·18·0.1908)

  = -17.67 +i·3.43

Answer:

The rectangular form is z = -17.67 + i 3.43

Step-by-step explanation:

Answer:

She would spend $52.50.

Step-by-step explanation:

c = 3.5t

c = 3.5(15)

c = $52.50

Hope this helped! :)

Answer:

328.48

Step-by-step explanation:

Answer:

  [tex]y=\log_3{(x+3)}[/tex]

Step-by-step explanation:

The parent log function has a vertical asymptote at x=0, so the asymptote at x=-3 indicates a left shift of 3 units.

The parent log function crosses the x-axis 1 unit to the right of the vertical asymptote, which this one does, indicating there is no vertical shift.

The parent log function has an x-value equal to its base when it has a y-value of 1. Here, the y-value of 1 corresponds to an x-value 3 units to the right of the vertical asymptote, so the base of this logarithm is 3.

The function is ...

  [tex]\boxed{y=\log_3{(x+3)}}[/tex]

Answer:

C

Step-by-step explanation:

Recall the equation for a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex], where the center is (h,k) and the radius is r.

The given equation is:

[tex](x+5)^2+(y+7)^2=21^2[/tex]

Another way to write this is:

[tex](x-(-5))^2+(y-(-7))^2=21^2[/tex]

Thus, we can see that h=-5 and k=-7.

The center is at (-5, -7).

Answer:

First, convert 13.5 m/s to km/hr

13.5 x 3.6 = 48.6 km/hr

This is below the speed limit of 50 km/hr

Answer:

48600/hour × 1/1000= 48.6km/h

Step-by-step explanation:

Answer:

4(x + 1) = 16

x + 1 = 4 (Divide equation by 4)

x = 3 (subtract 1)

Answer:

x = 3

Step-by-step explanation:

4(x + 1)=16

Expand the brackets.

4x + 4 = 16

Subtract 4 on both sides.

4x + 4 - 4 = 16 - 4

4x = 12

Divide both sides by 4.

4x/4 = 12/4

x = 3

Answer:

Step-by-step explanation:

1. Given the integral function [tex]\int\limits {\sqrt{a^{2} -x^{2} } } \, dx[/tex], using trigonometric substitution, the substitution that will be most helpful in this case is substituting x as [tex]asin \theta[/tex] i.e [tex]x = a sin\theta[/tex].

All integrals in the form [tex]\int\limits {\sqrt{a^{2} -x^{2} } } \, dx[/tex] are always evaluated using the substitute given where 'a' is any constant.

From the given integral, [tex]\int\limits {7\sqrt{49-x^{2} } } \, dx = \int\limits {7\sqrt{7^{2} -x^{2} } } \, dx[/tex] where a = 7 in this case.

The substitute will therefore be   [tex]x = 7 sin\theta[/tex]

2.) Given [tex]x = 7 sin\theta[/tex]

[tex]\frac{dx}{d \theta} = 7cos \theta[/tex]

cross multiplying

[tex]dx = 7cos\theta d\theta[/tex]

3.) Rewriting the given integral using the substiution will result into;

[tex]\int\limits {7\sqrt{49-x^{2} } } \, dx \\= \int\limits {7\sqrt{7^{2} -x^{2} } } \, dx\\= \int\limits {7\sqrt{7^{2} -(7sin\theta)^{2} } } \, dx\\= \int\limits {7\sqrt{7^{2} -49sin^{2}\theta } } \, dx\\= \int\limits {7\sqrt{49(1-sin^{2}\theta)} } } \, dx\\= \int\limits {7\sqrt{49(cos^{2}\theta)} } } \, dx\\since\ dx = 7cos\theta d\theta\\= \int\limits {7\sqrt{49(cos^{2}\theta)} } } \, 7cos\theta d\theta\\= \int\limits {7\{7(cos\theta)} }}} \, 7cos\theta d\theta\\[/tex]

[tex]= \int\limits343 cos^{2} \theta \, d\theta[/tex]

Answer:

-11

Step-by-step explanation:

Our function is 2x-13x+5

Answer:

the first one

Step-by-step explanation:

i assume they want to know how many cookies are in each box so you take the total number of cookies and divide by the number of boxes which is four so t/4 = b since they don't give you an amount of cookies

Answer:

t/4 = b aka the first one

Step-by-step explanation:

t/4 is the same as b

Answer:

y = -3x+6

Step-by-step explanation:

The slope intercept form of a line is given by

y = mx+b where m is the slope and b is the y intercept

y = -3x +b

Substitute the point into the equation

-6 = -3*4+b

-6 =-12+b

Add 12 to each side

-6+12 =-12+12+b

6=b

y = -3x+6