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2 years ago

Select all statements that show correct reasoning for finding 15 = 3

Mathematics

2 answers:

MrMuchimi2 years ago

7 0

Answer:

1.) 15x2=30 30/9=10/3

2.)15x9=135

3.)15x9=135 135/2=135/2

Step-by-step explanation:

mario62 [17]2 years ago

6 0

Answer:

. Multiply 15 by 1, then divide by 5

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Please help!!! (Ignore the AD it’s actually supposed to be DC)

pashok25 [27]

Answer:

BD = 22, DC = 11√3

Step-by-step explanation:

In triangle ABC, ∠B = 45°, ∠C = 90°. Hence:

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

∠A + 45 + 90 = 180

∠A + 135 = 180

∠A = 45°

Using sine rule to find BC:

$\frac{BC}{sinA}=\frac{AB}{sinC} \\\\\frac{BC}{sin45}=\frac{11\sqrt{2} }{sin90} \\\\BC=\frac{11\sqrt{2}*sin45 }{sin90} \\BC=11$

In triangle BCD, ∠D = 30°, ∠C = 90°. Hence:

∠D + ∠B + ∠C = 180° (sum of angles in a triangle)

∠B + 30 + 90 = 180

∠B + 120 = 180

∠B = 60°

Using sine rule to find BD:

$\frac{BD}{sinC}=\frac{BC}{sinD} \\\\\frac{BD}{sin90} =\frac{11}{sin30} \\\\BD=\frac{11*sin90}{sin30}\\\\BD=22$

Using sin rule to find DC:

$\frac{DC}{sinB}=\frac{BC}{sinD} \\\\\frac{DC}{sin60} =\frac{11}{sin30} \\\\DC=\frac{11*sin60}{sin30}\\\\DC=11\sqrt{3}$

6 0

2 years ago

Two rectangles are shown below. Rectangle P has a perimeter of 20 inches.

arsen [322]

Answer:

c) j=2 and h=4

Step-by-step explanation:

h+h+j+4+j+4=20

3h+3h+j+1+j+1=30

2h+2j+8=20

6h+2j+2=30

multiply the first equation by -3

-6h-6j-24=-60

this equals

-6h-6j=-36

6h+2j=28

-4j=-8

j=2

Since j=2

2h+2(2)+8=20

2h+12=20

2h=8

h=4

3 0

2 years ago

Find all local extrema for f(x, y) = 2y3 + 12x2 − 24xy. (if an answer does not exist, enter dne.) local minimum (x, y) = local m

OlgaM077 [116]

$f(x,y)=2y^3+12x^2-24xy$
Find the first derivatives:
$f'_x=24x-24y \\ f'_y=6y^2-24x$ .
Solve the system $\left \{ {{f'_x=0} \atop {f'_y=0}} \right.$ :
$\left \{ {{24x-24y=0} \atop {6y^2-24x=0}} \right. \rightarrow \left \{ {{x=y} \atop {6y^2-24y=0}}$ . The second equation has solutions $y_1=0, \\ y_2=4$ and then $x_1=0, \\ x_2=4$ and you have two points $A_1(0,0), \\ A_2(4,4)$ .

Find the first derivatives:
$f^{''}_{xx}=24 \\ f^{''}_{xy}=f^{''}_{yx}=-24 \\ f^{''}_{yy}=12y$ and calculate $\Delta=\left| \left[\begin{array}{cc}24&-24\\-24&12y\end{array}\right]\right |=24\cdot 12y-(-24)^2=288y-576$ .
Since $\Delta(A_1)=-576$ and $f^{''}_{xx}\ \textgreater \ 0$ , $A_1$ is a point of maximum and $f(0,0)=0$ .
Since $\Delta(A_2)=576$ and $f^{''}_{xx}\ \textgreater \ 0$ , $A_1$ is a point of minimum and $f(4,4)=-64$ .

4 0

3 years ago

Uniforms are sold in packages of 8. The stores 127 employees will each be given 3 uniforms. How many packages will the store nee

Mama L [17]

You would divide 127 by 8 then multiply that answer by three sirts each.

8 0

2 years ago

Which equation is being graphed here?

Effectus [21]