Consider a triangle ABC like the one below. Suppose that a =53, b=18, and A=130º. (The figure is not drawn to scale.) Solve the triangle.
Carry your intermediate computations to at least four decimal places, and round
your answers to the nearest tenth.
If no such triangle exists, enter "No solution." If there is more than one solution, use the button labeled "or".

Answer:

No solution

Step-by-step explanation:

1 = 1/3(2) + 5

1 = 17/3

1 is not equal to 17/3

so the answer has no solution meaning the point does not exist in the graph.

Answer:

Step-by-step explanation:

The cross-section is an 8”×13” rectangle.

Area = 104 square inches

Answer:

x = 10

Step-by-step explanation:

5x - 6 = 44

Add 6 on both sides of the equation.

5x = 50

Divide by 5 on both sides of the equation.

x = 10

So, the value of x is equal to 10

Answer:

x=10

Step-by-step explanation:

5x-6=44

grouping constants and numbers with coefficient of x we get

5x=44+6

5x=50

5x/5=50/5

x=10

Answer:

1

Step-by-step explanation:

rectangular prism volume = Width * Height * Length

Width = 1.33

Height = .6

Length = 1.25

volume = 1

area of shaded region is 537.5cm^2

Answer:

d.13 the measure of eg that's the answer

Answer:

52°

Step-by-step explanation:

360 - 33 - 165 - 20 - 90 = x

x = 52

Answer:

Step-by-step explanation:

Let's find the size of angle x

The angle in a complete turn add up to 360°

[tex] \mathsf{x + 20 + 165 + 33 + 90 = 360}[/tex]

Add the numbers

[tex] \mathsf{x + 308 = 360}[/tex]

Move constant to R.H.S and change it's sign

[tex] \mathsf{x = 360 - 308}[/tex]

Calculate the difference

[tex] \mathsf{x = 52}[/tex] °

Hope I helped!

Best regards!

Answer:

[tex]\dfrac{-3}{2}-(2-\dfrac{3}{8})+\dfrac{3}{2}=\dfrac{-13}{8}[/tex]

Step-by-step explanation:

We need to find the value of expression [tex]\dfrac{-3}{2}-(2-\dfrac{3}{8})+\dfrac{3}{2}[/tex].

Firstly solving the second term as :

[tex](2-\dfrac{3}{8})=\dfrac{16-3}{8}=\dfrac{13}{8}[/tex]

Now the above expression becomes,

[tex]\dfrac{-3}{2}-(2-\dfrac{3}{8})+\dfrac{3}{2}\\=\dfrac{-3}{2}-\dfrac{13}{8}+\dfrac{3}{2}[/tex]

-3/2 and +3/2 equals 0.

It means that, [tex]\dfrac{-3}{2}-(2-\dfrac{3}{8})+\dfrac{3}{2}=\dfrac{-13}{8}[/tex]

Answer:

3 terms

Step-by-step explanation:

A term in mathematics, especially in Algebra, could be a number, a variable, variable together with a number or variables multiplied together as a single whole. Terms are usually separated with either negative or positive sign in an expression.

In the expression, [tex] 1 + 2k - j [/tex] , there are 3 terms here spared by either the negative sign or the positive.

The 3 terms are: [tex] 1, 2k, j [/tex].

Answer: The eldest child received $465,000, the middle child received $13,000, and the youngest received $93,000.

Step-by-step explanation: Subtracting $13,000 from $571,09 leaves the youngest and eldest’s money, $558,000. Dividing the amount left by 6 gives you the youngest siblings check and a total of $93,000. To find how much the eldest receives, you subtract $93,000 from $558,000 leaving the eldest $465,000.

Answer:

160

Step-by-step explanation:

x = original price

x+ 25% x = 200

Change to decimal form

x + .25x = 200

1.25x = 200

Divide each side by 1.25

x = 200/1.25

x =160

The original price was 160

Answer:

The 100 students who are asked questions.

Answer:

17.2a+14.6

Step-by-step explanation:

Answer:

Hello,

None !!!

Step-by-step explanation:

[tex]f(x)=x(x+5)(x+2)\\=x(x^2+5x+2x+10)\\\\=x^3+7x^2+10x\\[/tex]

Answer:

Hello,

[tex]\begin{bmatrix}-2&2\\3&5\\\end{bmatrix}\\\\[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}3&1\\-2&-3\end{bmatrix}+\begin{bmatrix}1&0\\0&1\end{bmatrix}\\\\\\\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}2&3\\5&7\end{bmatrix}-\begin{bmatrix}4&1\\-2&-2\end{bmatrix}\\\\\\A=\begin{bmatrix}-2&2\\3&5\end{bmatrix}\\\\[/tex]

Answer:

C. 2 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

First, calculate the amount of clay that both groups used in total. We can find this by multiplying the amount by the number of students.

Used 3/4 of a pound:

3/4(4) = 3 pounds

Used 1/4 of a pound:

1/4(3) = 3/4 pound

Now, subtract:

3 - 3/4 = 2 and 1/4

Answer

i got it right

C. 2

Answer:

-7

Step-by-step explanation:

*Two negatives will cancel out and turn into addition.

-12 - (-5)

Subtract 12 from 5 and add the negative sign:

-12 + 5 =

  -7

The answer would be -7

Hope this helped.

Answer:

140

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

x = 72 + 68

x = 140

Answer:

For number 5 . a= 3 and b = -1

Step-by-step explanation:

Let SP1 be x

P%=10%

CP=SP×100/100+%P

= x+100/100+10

= 100x/110

SP2= x+55

CP= SP×100/100+%P

or 100x/110= x+55×100/120

or x/110=x+55/120

or 24x-22x=22×55

or 2x=1210

or x=1210/2

or x=605

Now,

CP=100x/110

=100×605/110

=60500/110

=Rs 550

Step-by-step explanation:

x= 9

[tex] {x}^{2} + 9 \div x + 1[/tex]

[tex] {9 }^{2} + 9 \div 9 + 1[/tex]

[tex]81 + 9 \div 10[/tex]

[tex]90 \div 10[/tex]

[tex]9[/tex]

Answer:

centre = (11, 0 ), radius = 3

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - h)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

(x - 11)² + y² = 9 ← in standard form

with (h, k ) = (11, 0 ) and r² = 9 ⇒ r = [tex]\sqrt{9}[/tex] = 3

centre = (11, 0 ) and r = 3

Answer:

D

Step-by-step explanation:

The slope of the line is - 1/4. The equation of the line is y=(-1/4x)+5

Answer:

Step-by-step explanation:

$66,200  - the median selling price of a home in 1985

and the price increased by 30%:

66,200•30% = 66,200•0.3 = 19,860

66,200 + 19,860 = 86,060

$86,060 - the median selling price of a home in 1990

and the price increased by 15%

86,060•15% = 86,060•0.15 = 12,909

86,060 + 12,909 = 98,969

$98,969  - the median house price in Atlanta in 2005

Answer:

Jim's claim is correct

Step-by-step explanation:

Total survey=100 people

Morning exercise=35 people

Afternoon exercise=45 people

Night exercise=20 people

Morning exercise : Total survey

=35 : 100

Afternoon exercise : Total survey

=45 : 100

Night exercise : Total survey

=20 : 100

Jim's claim is correct because in finding the ratio, one has to relate it with the total people involved in the survey.

Tara's claim however seems to relate one variable with two other variables

Example:

35 : 55

Morning exercise : (morning exercise + night exercise)

35 : (35+20)

35 : 55

Answer:

Sample Response: Jim is correct because 35:100, 45:100, and 20:100 are part-to-whole comparisons. There are other possible part-to-part ratios from the data.

Answer:

-17.3

Step-by-step explanation:

To solve for x, we can divide both sides by -3:

x = -52 / 3 which = -17.3

Answer:

Step-by-step explanation:

[tex] \sf{ - 3x = 52}[/tex]

Divide both sides of the equation by -3

⇒[tex] \sf{ \frac{ - 3x}{ - 3} = \frac{52}{ - 3} }[/tex]

Calculate

⇒[tex] \sf{x = - 17.33}[/tex]

Hope I helped!

Best regards!!

Answer:

Step-by-step explanation:

Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.

Given function is,

[tex]y=-\frac{2}{3}x+7[/tex]

If Domain (input values) of this function is,

{-12, -6, 3, 15}

Table for the input-output values of this function,

x        -6         3        15       -12

y        11         5         -3        15

Answer:

Step-by-step explanation:

The vertical lines on each side of the x mean it is the absolute value of x.

Replacing x with -x would make no change on the graph, because the absolute value is always a positive number.

The answer is B.

There will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The vertical lines on each side of the x mean it is the absolute value of x. Replacing x with -x would make no change on the graph because the absolute value is always a positive number.

Therefore, there will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.

To know more about functions follow

https://brainly.com/question/2833285

#SPJ2

Answer:

1/2b*h

1/2 6*27

162/2

81 is the answer