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3 years ago

I need help with this plz.

Mathematics

1 answer:

iren2701 [21]3 years ago

3 0

1. 90 - 70 = 20 (angle 1 and the 70 degree angle form a right (90 deg.) angle
2. 180 - 25 = 155 (angle 2 and the 25 degree angle form a straight (180 deg.) angle
3. angle 4 = 50 (vertical angles are congruent/equal in measure)
4. angle 5 = 180 - 30 = 150
angle 6 = 30
angle 7 = 150
5. 180 - 125 = 55 (supplement means they add to equal 180 and angle CDE must equal 125 because it is a vertical angle to the angle with measure 125)
6. angle ADC (vertical angles have the same vertex and the sides are opposite rays)
7. 180 - 125 = 55
8. 125 (vertical angles are congruent/equal in measure)
9. 90 (angles of a rectangle are right)
10. angle ABD (there is also angle BDC)
11. angle DCB (there is also angle ADC and angle ABC)
12. c. angle CDA (it is the only right (90 deg.) angle in the choices and since angle BCD is a right angle you need a sum of 180 if they are supplements)

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zhannawk [14.2K]

Answer:

h = 5 cm

Step-by-step explanation:

Given that,

The volume of ice-cream in the cone is half the volume of the cone.

Volume of cone is given by :

$V_c=\dfrac{1}{3}\pi r^2h$

r is radius of cone, r = 3 cm

h is height of cone, h = 6 cm

So,

$V_c=\dfrac{1}{3}\pi (3)^2\times 6\\\\V_c=18\pi\ cm^3$

Let $V_i$ is the volume of icecream in the cone. So,

$V_i=\dfrac{18\pi}{2}=9\pi\ cm^3$

Let H be the depth of the icecream.

Two triangles formed by the cone and the icecream will be similiar. SO,

$\dfrac{H}{6}=\dfrac{r}{3}\\\\r=\dfrac{H}{2}$

So, volume of icecream in the cone is :

$V_c=\dfrac{1}{3}\pi (\dfrac{h}{2})^2(\dfrac{h}{3})\\\\9\pi=\dfrac{h^3}{12}\pi\\\\h^3=108\\\\h=4.76\ cm$

h = 5 cm

So, the depth of the ice-cream is 5 cm.

8 0

3 years ago

sharia has a full time job and earns 475$ each week but she starts looking for ways to increase her weekly earnings . sharia fin

Arlecino [84]

Answer:

12 hours

Step-by-step explanation:

Full time job:

Earning per week = $475

Part time job :

Earning per hour = $11

Number of working hours per week at per time job to increase weekly earning to atleast $600 ;

Let number of hours = h

Full time earning + earning per hour * (number of hours) ≥ 600

$475 + ($11 * h) ≥ 600

$475 + $11h ≥ 600

11h ≥ 600 - 475

11h ≥ 125

h ≥ 125 / 11

h ≥ 11.36

Hence, sharia will need to work for 12 hours per week

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3 years ago

Estimate the values to complete the table.

lbvjy [14]

Answer:

Step-by-step explanation:

For angle C,

cos(∠C) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$ = 0.97

sin(∠C) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$ = 0.26

tan(∠C) = $\frac{\text{Adjacent side}}{\text{Adjacent side}}$ = 0.27

Therefore, from the triangle ABC,

cos(∠A) = cos(90° - ∠C)

= sin(∠C)

= 0.26

sin(∠A) = sin(90 - ∠A)

= cos(∠A)

= 0.97

tan(∠A) = $\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}$

= 3.73

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3 0

3 years ago

Worth 25 points, giving brainiest to a quick and good answer.

vredina [299]

Answer:

Step-by-step explanation:

Note that the quadratic formula has that "plus or minus" due to our taking the square root of some quantity. No square root is involved in the two formulas you've posed.

I have two suggestions here:

1) Write " (x plus or minus y)^2 = x^ plus or minus 2 times xy + y^2 " Note that a + on the left side corresponds to a + on the right side, and same with - .

2) Memorize these two formulas, which in most algebra textbooks you'll find in the section "special products and factoring."

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3 years ago

A boat with some water at its bottom was found leaking again. Assume that water goes into the boat at a constant rate. 3 hours a

ratelena [41]

The Number of people is 12 when time taken is 2 hours.

According to the statement

Time taken when 10 people works is 3 hours

Time taken when 5 people works is 8 hours

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So, average time that for which single person works is 180 min/ 10 = 18 min.

It means the average time for single person works is 18 min in case of 10 people.

and one thing is clear that the number of people is greater than 10 people when time taken is 2 hours.

So, The Number of people is 12 when time taken is 2 hours.

Learn more about AVERAGE here brainly.com/question/8728504

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2 years ago