All categories

3 years ago

Find the measures of angle 1 and angle 2

Mathematics

1 answer:

Olin [163]3 years ago

7 0

Answer:

5. ∠1 = 75.5°

∠2 = 75.5°

6. ∠1 = 56°

∠2 = 124°

7. ∠1 = 60°

∠2 = 120°

8. ∠1 = 59°

11. ∠1 = 99°

12. ∠2 = 25°

Step-by-step explanation:

You might be interested in

Plzz how do i find the area w just the base

Roman55 [17]

Answer:

8x8= 64 divided by 2 = 37

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Please Help Me With This.

Romashka-Z-Leto [24]

Answer:

A is $0.45 B is 2 ounces

Step-by-step explanation:

A when you divide the cost by the ounces or $5.40 by 12 ounces you get $0.45 per ounce.

B $0.45 times 2 equals 90 cents and you cannot go over 1 dollar.

C you should be to do along with D with this information.

5 0

3 years ago

HELP!!

Contact [7]

Answer:

Yes

Step-by-step explanation:

Statement Reason

ab = bd Given

ac=cd Given

bc = cb definiton of reflex line

triangle abc is congruent to triangle dbc side side side postulate

7 0

3 years ago

Read 2 more answers

19.27 - (- 42.1)= subtract

Damm [24]

Answer:

61.37

Step-by-step explanation:

when you subtract twice you are essentially adding

19.27 + 42.1 is that you are doing

and that is

61.37

8 0

2 years ago

Read 2 more answers

A cardboard box without a lid is to have a volume of 19,652 cm3. Find the dimensions that minimize the amount of cardboard used.

Effectus [21]

Answer:

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

Step-by-step explanation:

Let the dimension of the cardboard box be x cm by y cm by z cm.

The surface area of the cardboard box without lid is

f(x,y,z)= xy+2xz+2yz.....(1)

Given that the volume of the cardboard is 19,652 cm³.

Therefore xyz =19,652

$\Rightarrow z=\frac{19652}{xy}$ ......(2)

putting the value of z in the equation (1)

$f(x,y)=xy+2x(\frac{19652}{xy})+2y(\frac{19652}{xy})$

$\Rightarrow f(x,y)=xy+\frac{39304}{y})+\frac{39304}{x}$

The partial derivatives are

$f_x=y-\frac{39304}{x^2}$

$f_y=x-\frac{39304}{y^2}$

To find the dimension of the box set the partial derivatives $f_x=0$ and $f_y=0$ .Therefore $y-\frac{39304}{x^2}=0$

$\Rightarrow y=\frac{39304}{x^2}$ .......(3)

and $x-\frac{39304}{y^2}=0$

$\Rightarrow x=\frac{39304}{y^2}$ .......(4)

Now putting the x in equation (3)

$y =\frac {39304}{(\frac{39304}{y^2})^2}$

$\Rightarrow y=\frac{y^4}{39304}$

$\Rightarrow y^3= 39304$

⇒y=34 cm

Then $\Rightarrow x=\frac{39304}{34^2}$ =34 cm.

Putting the value of x and y in the equation (2)

$z=\frac{19652}{34 \times 24}$

=17 cm.

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

4 0

3 years ago