1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
irina [24]
3 years ago
7

What is the measure of angle z and why?

Mathematics
1 answer:
Svetach [21]3 years ago
4 0
124° Is your answer.

The triangle Is an isosceles triangle which means the two bases will be the same angle. 180° is this sum of all angles in a triangle. If 62 is the right base angle then 62 must be the left base angle since is an isosceles triangle. Add 62 and 62 together then subtract from 180. That would give you 54° as the third angle angle at top. Since you are looking for a Z, we now know that z and 54° are symmetry and equal 180 when added together. We then subtract 54 from 180 to get the angle of z.
You might be interested in
Find the common difference for the given sequence<br> 1.2, 1.85, 2.5, 3.15, ...
Kay [80]

Answer:

c)0.65

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
An icicle with a diameter of 15.5 centimeters at the top, tapers down in the shape of a cone with a length of
Helga [31]

Answer:

Step-by-step explanation:

Note: I will leave the answers as fraction and in terms of pi unless the question states rounding conditions to ensure maximum precision.

From the question, we can tell it is a inversed-cone (upside down)

Volume of Cone = \pi r^{2} \frac{h}{3}

a) Given Diameter , d = 15.5cm and Length , h = 350cm,

we first find the radius.

r = \frac{d}{2} \\=\frac{15.5}{2} \\=7.75cm

We will now find the volume of the cone.

Volume of cone  \pi (7.75)^{2} \frac{350}{3} \\= \frac{168175\pi }{24}

We know the density of ice is 0.93 grams per 1cm^{3}

1cm^{3} =0.93g\\\frac{168175\pi }{24}  cm^{3} =0.93(\frac{168175\pi }{24} )\\= 20473 g(Nearest Gram)

b) After 1 hour, we know that the new radius = 7.75cm - 0.35cm = 7.4cm

and the new length, h = 350cm - 15cm = 335cm

Now we will find the volume of this newly-shaped cone.

Volume of cone = \pi (7.4)^{2} \frac{335}{3} \\= \frac{91723\pi }{15} cm^{3}

Volume of cone being melted = New Volume - Original volume

= \frac{168175\pi }{24} -\frac{91723\pi }{15} \\= \frac{35697\pi }{40} cm^{3}

c) Lets take the bucket as a round cylinder.

Given radius of bucket, r = 12.5cm (Half of Diameter) and h , height = 30cm.

Volume of cylinder = \pi r^{2} h\\=\pi (12.5)^{2} (30)\\=\frac{9375\pi }{2} cm^{3}

To overflow the bucket, the volume of ice melted must be more than the bucket volume.

Volume of ice melted after 5 hours = 5(\frac{35697\pi }{40} )\\=\frac{35697\pi }{8} cm^{3}

See, from here of course you are unable to tell whether the bucket will overflow as all are in fractions, but fret not, we can just find the difference.

Volume of bucket - Volume of ice melted after 5 hours

= \frac{9375\pi }{2} -\frac{35697\pi }{8 } \\=\frac{1803\pi }{8}cm^{3}

from we can see the bucket can still hold more melted ice even after 5 hours therefore it will not overflow.

4 0
2 years ago
There are 35 people in a room. There are
Degger [83]

Answer:

Male=21 Female=14

Step-by-step explanation:

So the problem would be (f)+(f+7)=35

first you would subtract 7 from 35

Now you have (f)+(f)=28 or 2f=28

Then you divide both sides by two

f=14

and since we know there is 7 more males then the answer is

m=21

5 0
4 years ago
Read 2 more answers
.helppppppppppp......​
Lelu [443]

Step-by-step explanation:

hope you get ur answer

7 0
3 years ago
Read 2 more answers
Lshonda sells beaded necklaces. Each large necklace sells for 4.70 and each small necklace sells for 4.20. How much will she ear
AysviL [449]
Answer: Lshonda will earn $23.

Step-by-step:
The equation would be (4•4.7) + (1•4.2)
4 multiplied by 4.7 is 18.8
1•4.2 is 4.2
18.8+4.2=23

hope this helps! :)
7 0
3 years ago
Other questions:
  • Cynthia invests some money in a bank which pays 5% compound interest per year she wants it to be over 8000 at the end of three y
    14·1 answer
  • Can someone please help ASAP?
    10·1 answer
  • What is the slope of a vertical line?
    14·2 answers
  • How do you find the least common multiple of these two expressions. 10x^5v^8 and 25x^4v^7u^2
    8·2 answers
  • The amount of money Sharita makes varies directly with the number of hours she works. If she earns $41.25 for 5 hours of work, h
    5·1 answer
  • A 2956 kg car starts from rest at the top of a driveway of length 6 m that is sloped at 35◦ with the horizontal. An average fric
    13·1 answer
  • 15. If f(x)=9x+1,find f^-1(f(3)).
    6·1 answer
  • Can SOMEONE PLZ HELPP
    15·1 answer
  • Hii could anyone help me with these?
    5·2 answers
  • If f(x) = 2x - 1 and g(x) = x^2 - 3x - 2, find (f + g)(x).​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!