-4x + 3y = 29
5x + y = -3
solve by substitution

Answer:

○ [tex]\displaystyle 12,9[/tex]

Step-by-step explanation:

Use the Law of Sines to find the length of the second edge:

Solving for Angles

[tex]\displaystyle \frac{sin\angle{C}}{c} = \frac{sin\angle{B}}{b} = \frac{sin\angle{A}}{a}[/tex]

Use [tex]\displaystyle sin^{-1}[/tex]towards the end or you will throw your result off!

Solving for Edges

[tex]\displaystyle \frac{c}{sin\angle{C}} = \frac{b}{sin\angle{B}} = \frac{a}{sin\angle{A}}[/tex]

Let us get to wourk:

[tex]\displaystyle \frac{a}{sin\:40} = \frac{10}{sin\:30} \hookrightarrow \frac{10sin\:40}{sin\:30} = x; 12,855752194... \\ \\ \boxed{12,9 \approx x}[/tex]

I am joyous to assist you at any time.

Answer:

this is very easy.

Step-by-step explanation:

if he started at a temperature of 12, then added 8 and added 13 onto that? the sum of those numbers would be 33. so 33 degrees Celsius

Answer:

Step-by-step explanation:

Let

The equations as per question are below

Crazy Curly's

Bill's Beauties

Solve the system by substitution

Answer:

x=13

Step-by-step explanation:

2x-4 = 4x - 30

-4 = 2x - 30

26 = 2x

x = 13

Answer:

B

Step-by-step explanation:

No these triangles are not congruent.

Left triangle

Shortest side = 6 cm

Longest side = 13 cm

3rd side = unknown but < 13

Right triangle

Shortest side = 6 cm

Longest side = unknown but > 13

3rd side = 13 cm

Although the shortest side of both triangles is 6 cm, the longest side of the left triangle is 13 cm, whereas the longest side of the right triangle is unknown but will be more than 13 cm.

We do not know if any of the angles are congruent.  If they were congruent, we would expect to see this marked by the same angle line(s) on each triangle.

Answer:

$1,041.69

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation:

Forumla; P(1 + r/n)nt

700.00(1 + 0.05/4)(4)(8)

700.00(1 + 0.0125)(32)

$1,041.69

hope this helps!

Answer:

$1,041.69

Step-by-step explanation:

Compound interest formula: [tex]A=P(1+\frac{r}{n})^{nt[/tex]

A = amount (future value ($))

P = principal (orignal amount - $700)

R = rate (written as a decimal - 5%/100= 0.05)

N = compound (quarterly - 4) 4 quarters in 1 yr.

T = number of years (8)

[tex]A=P(1+\frac{r}{n})^{nt[/tex]

[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=700(1+\frac{0.05}{4})^{4*8} < == start\ from\ the\ parenthesis\ and\ divide\ first\\\\A=700(1+0.0125)^{4*8} < == add\ the\ \#s\ in\ the\ parenthesis\\\\A=700(1.0125)^{4*8} < == multiply\ the\ exponents\\\\A=700(1.0125)^{32} < ==multiply\\\\A=700(1.488131) < ==multiply\\\\A=1041.691\\\\A=$1,041.69[/tex]

Hope this helps!

Answer:

I think it's B because it stops but keeps going.

Step-by-step explanation:

Answer:

1500

Step-by-step explanation:

Simply multiply 0.75 by 2000 to get the percent of the trip, 1500. Hope this helps!

Answer:

[tex]\frac{40}{100}[/tex]

Step-by-step explanation:

You can multiply on the upper and bottom part by the same number without changing the fraction so [tex]\frac{4}{10}=\frac{4\cdot 10}{10\cdot 10}=\frac{40}{100}[/tex]

Answer:

x2 - x - 12 is the Quadratic Polynomial Whose zeroes are -3 and 4.

The correct statement is that the range of the function is  (8, [infinity])

Given the function as shown below:

g(x) = √(x + 4) + 8

The domain of the function is the point here x + 4 ≥ 0

Domain = x ≥ -4

In interval form, the domain of the function is [-4, 0)

The range of the function is the real values from 8 and above. Hence the range of the function is  (8, [infinity])

Learn more on domain and range here: https://brainly.com/question/1942755

Answer:

:))

Step-by-step explanation:

Answer:

The shadow is longer by 3ft

Step-by-step explanation:

A simple a^2 + b^2 = c^2 problem

81 + b^2 = 225

b = 12ft

The two expressions are equivalent, which gives the same values at x=6 and x=10 when put the values of x and compare them.

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given expressions are,

[tex]8x +40[/tex]

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

It has to determine if the two expressions are equivalent using x = 6 and x = 10.

The value of the first equation at x=6 are,

[tex]8x +40=8(6)+40\\8x +40=48+40\\8x +40=88[/tex]

The value of the first equation at x=10 are,

[tex]8(10) +40=80+40\\8(10) +40=120[/tex]

Now, the value of the second equation at x=6 are,

[tex]8[(6)+5]=48+40\\8[(6)+5]=88[/tex]

Similarly, the value of the second equation at x=10 are,

[tex]8[(10)+5]=80+40\\8[(10)+5]=120[/tex]

The values of both equation are same at x=10 and x=6.

Hence, to determine, the two expressions are equivalent using x = 6 and x = 10, put the values of x and compare the values.

Learn more about the equivalent expression here;

https://brainly.com/question/2972832

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

Let's solve ~ ☂

[tex]\qquad \sf  \dashrightarrow \: - 0.6(m + 1) = 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: - (m + 1) = 3 \div 0.6[/tex]

[tex]\qquad \sf  \dashrightarrow \: - (m + 1) = 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: - m - 1= 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: - m = 5 + 1[/tex]

[tex]\qquad \sf  \dashrightarrow \: - m = 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: m = - 6[/tex]

I hope it helps ~

Answer:

yes ikr

Step-by-step explanation:

yes ikr

yes ikr

yes ikr

yes ikr

yes ikr

yes ikr

yes ikr

yes ikr

yes ikr

Let's see

[tex]\\ \rm\rightarrowtail y=6x^2-25x+11[/tex]

Graph attached

Axis of symmetry

Answer:

axis of symmetry: x = 2

vertex:  (-2, 13)

Step-by-step explanation:

Given function

[tex]\sf y=6x^2-24x+11[/tex]

Vertex form

[tex]\sf y=a(x-h)^2+k[/tex]
where (h, k) is the vertex

Expand vertex form:

[tex]\sf \implies y=ax^2-2ahx+ah^2+k[/tex]

Compare coefficients of expanded vertex form with given function:

coefficient of [tex]\sf x^2[/tex]:  

⇒ a = 6

coefficient of [tex]\sf x[/tex]:  

⇒ -2ah = -24

⇒ ah = 12

⇒ 6h = 12

⇒ h = 2

constant:

⇒ [tex]\sf ah^2+k=11[/tex]

⇒ [tex]\sf 6 \cdot 2^2+k=11[/tex]

⇒ [tex]\sf 24+k=11[/tex]

⇒ [tex]\sf k=-13[/tex]

Vertex

Vertex = (2, -13)

Axis of symmetry

Axis of symmetry is when x = h

Therefore, axis of symmetry is x = 2

Answer:

114

Step-by-step explanation:

The external angle measure is equal to the half of difference between the larger intercepted arc (5x-12) and the smaller intercepted arc (3x)

32 = (5x-12 -3x)/2

combine like terms in parenthesis and multiply both sides by 2

32·2 = 2x-12

multiply 32·2 = 64, and add 12 to both sides

64 + 12 = 2x

add 64+12 = 76, and divide both sides by 2 to isolate x

76/2 = x

38 = x

The measure of arc AB is 3x.

Substitute x for 38

Measure of arc AB = 3x = 3·38 = 114

Answer:

90.24 mm

Step-by-step explanation:

Circumference = 2πr

C = 2(3.14)(16)

C = 100.48 mm

Perimeter of the figure = 20 + 20 + 1/2 (circumference)

P = 40 + 1/2 (100.48)

P = 40 + 50.24

P = 90.24 mm

I hope this helps!

Given the height and the side length of the square pyramid, the length of s is 12.81 cm.

A square pyramid is a three-dimensional object that is made up of a square base and four triangular bases that are joined together at a vertex.

S in the diagram represents the slant height of the square pyramid.

The formula that can be used to determine the slant height is:

s² = r² + h².

Where:

r = side length / 2 = 16/2

s = √8² + 10²

s = 12.81 cm

To learn more about a pyramid, please check: https://brainly.com/question/9222686

Answer: 53

Step-by-step explanation:

Answer:

yes they are

Step-by-step explanation:

Answer:

read below

Step-by-step explanation:

x - 16 < 43

there are many values that can make it true

pretty much any number that can have 16 subtracted from it and be less than 43 will work.

or any number less than or equal to 43.

for example:

34-16<43

↓

18 < 43

The possible value of ∠Y to the nearest tenth of a degrees in triangle WXY is 85.1 degrees.

Let's find angle Y using sine rule,

Hence,

x / sin X = y / sin Y

where

8.5 / sin 100° = 8.6 / sin Y

cross multiply

8.5 sin Y = 8.6 sin 100°

sin Y = 8.6 sin 100° / 8.5

sin Y = 8.4693466759 / 8.5

Y = sin ⁻¹ 0.99639372657

Y = 85.1325941735

∠Y = 85.1°

learn more on triangle here: https://brainly.com/question/23998296

[tex]\displaystyle \int csc^2(9x) dx \\\\=\dfrac 19\displaystyle \int \csc^2 u ~du~~~~~~~;\left[\text{Let}~u= 9x \implies dx = \dfrac{du}9\right]\\\\=-\dfrac 19 \cot u + C\\\\=-\dfrac 19 \cot(9x)+C[/tex]