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
qwelly [4]
3 years ago
12

Point T is on line segment \overline{SU} SU . Given TU=4x+1,TU=4x+1, SU=8,SU=8, and ST=3x,ST=3x, determine the numerical length

of \overline{TU}. TU .
Mathematics
2 answers:
zysi [14]3 years ago
6 0

Answer:

<h2>5</h2>

Step-by-step explanation:

If point T is on the line SU, then ST+TU = SU. Given  TU=4x+1, SU=8, and ST=3x

Substituting the given values into the expression ST+TU = SU

8 = 3x+4x+1

8 = 7x+1

collect like terms;

7x = 8-1

7x = 7

Divide through by 7

7x/7 = 7/7

x = 1

Substitute x = 1 into the expression TU = 4x+1 to get the length of TU

TU = 4(1)+1

TU = 4+1

TU = 5

<em>Hence the length of TU is 5</em>

cricket20 [7]3 years ago
3 0

Answer:

Step-by-step explanation: the answer is 5

You might be interested in
Find the value of sin(a/2) if cosa= 12/13<br>​
daser333 [38]

Answer: sin\frac{a}{2} = ± \frac{1}{\sqrt{26} }

Step-by-step explanation:

We very well know that,

cos2A=1−2sin²A

⟹ sinA = ±\sqrt{(1-} \frac{cos2A}{2} )

As required,  set A = \frac{a}{2}   &   cos a=  \frac{12}{13}    ,thus we get

sin \frac{a}{2} =± \sqrt{\frac{1-cos a}{2} }  

∴ sin\frac{a}{2} =±\sqrt{\frac{1-\frac{12}{13} }{2} } = ± \frac{1}{\sqrt{26} }

   since ,360° < \frac{a}{2} <450°

             ,180° < \frac{a}{2} <225°

Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.

hope it helped!

   

5 0
3 years ago
Complete the square 4y^2+x+8y+1=0
sammy [17]

Answer: Simple and best practice solution for 4y^2+8y+1=0 equation. ... Begin completing the square. ... Square it (1) and add it to both sides.

Step-by-step explanation: Complete the square for x2+2x x 2 + 2 x.

4 0
3 years ago
Determine the volume of the figure. Use 3.14 for π. Round your answer to the nearest tenth. Show all of your work.
Ostrovityanka [42]

Answer:

1985 cubic units (written as un. with the cubed exponent)

Step-by-step explanation:

First, you find the volume of the cylinder

Here's the formula:

V=\pi r^{2}h\\V=volume\\r=radius\\h=height

Now, you plug in and solve.

V=(3.14)(7.2^{2})(7.4)\\V=(3.14)(51.84)(7.4)\\V=(162.7776)(7.4)\\V=1204.55424\\rounded:\\V=1204.6

Then, you find the volume of the dome.

Here's the formula:

volume/of/a/sphere=\frac{4}{3}\pi r^{3}\\volume/of/a/dome:\\V=\frac{2}{3}\pi r^{3} \\V=volume\\r=radius

Now, you just plug in and solve.

V=(\frac{2}{3})(\pi)(r^{3})\\V=(\frac{2}{3})(3.14)(7.2^{3})\\V=(\frac{2}{3})(3.14)(373.248)\\V=(2.093)(373.248)\\V=781.208064\\rounded:\\V=781.2

Finally, you add them together, and there's your answer!

1204.6+781.2=1985.8

Hope this helped!

<em>brainliest?</em>

8 0
3 years ago
Find the value of y.<br><br> PLS FAST ANSWER
Nimfa-mama [501]

Answer:

y = 6

use sine law

y/sin 60°=4√3/sin90°

4 0
3 years ago
A sixth number will be added to the list. What must it be in order for the mean to be 12?
Nataliya [291]
The sixth number should be 16 in order for the mean to be 12
7 0
3 years ago
Read 2 more answers
Other questions:
  • Danila breeds peregrine falcons
    10·1 answer
  • Can someone please answer both A and B please. If you can Thank You so Much!
    6·1 answer
  • Classifying triangles according to side length and angle measurement
    7·2 answers
  • What is the answer to my image?
    14·1 answer
  • Help ASAP with these
    8·1 answer
  • The bat population in a certain Midwestern county was 270,000 in 2012, and the observed doubling time for the population is 34 y
    15·1 answer
  • Are y=3/4x + 1 and 6x + 8y = 3 parallel or perpendicular ?<br><br>​
    11·1 answer
  • Solve -9r + 12 = -24
    6·2 answers
  • Kay donates twice what Ed donates.
    5·1 answer
  • Points U, M, And D are collinear with U between U and D.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!