All categories

3 years ago

27)

Mathematics

1 answer:

Alja [10]3 years ago

3 0

Answer:

A). No triangle.

Step-by-step explanation:

In order to construct a triangle the sum of any 2 sides must be greater than the third side.

Here 5 + 8 ( =13) is less than the 3rd side, which has a length of 15.

You might be interested in

Some body can help me with a geometric mean maze

Mars2501 [29]

Answer:

See explanation

Step-by-step explanation:

Theorem 1: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.

Theorem 2: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

1. Start point: By the 1st theorem,

$x^2=25\cdot (49-25)=25\cdot 24=5^2\cdot 2^2\cdot 6\Rightarrow x=5\cdot 2\cdot \sqrt{6}=10\sqrt{6}.$

2. South-East point from the Start: By the 2nd theorem,

$x^2=40\cdot (40+5)=4\cdot 5\cdot 2\cdot 9\cdot 5\Rightarrow x=2\cdot 5\cdot 3\cdot \sqrt{2}=30\sqrt{2}.$

3. West point from the previous: By the 2nd theorem,

$x^2=(32-20)\cdot 32=4\cdot 3\cdot 16\cdot 2\Rightarrow x=2\cdot 4\cdot \sqrt{6}=8\sqrt{6}.$

4. West point from the previous: By the 1st theorem,

$9^2=x\cdot 15\Rightarrow x=\dfrac{81}{15}=\dfrac{27}{5}=5.4.$

5. West point from the previous: By the 2nd theorem,

$10^2=8\cdot (8+x)\Rightarrow 8+x=12.5,\ x=4.5.$

6. North point from the previous: By the 1st theorem,

$x^2=48\cdot 6=6\cdot 4\cdot 2\cdot 6\Rightarrow x=6\cdot 2\cdot \sqrt{2}=12\sqrt{2}.$

7. East point from the previous: By the 2nd theorem,

$x^2=22.5\cdot 30=225\cdot 3\Rightarrow x=15\sqrt{3}.$

8. North point from the previous: By the 1st theorem,

$x^2=7.5\cdot 36=270\Rightarrow x=3\sqrt{30}.$

8. West point from the previous: By the 2nd theorem,

$x^2=12.5\cdot (12.5+13.5)=12.5\cdot 26=25\cdot 13\Rightarrow x=5\sqrt{13}.$

9. North point from the previous: By the 1st theorem,

$12^2=x\cdot 30\Rightarrow x=\dfrac{144}{30}=4.8.$

101. East point from the previous: By the 1st theorem,

$6^2=1.6\cdot (x-1.6)\Rightarrow x-1.6=22.5,\ x=24.1.$

11. East point from the previous: By the 2nd theorem,

$20^2=32\cdot (32-x)\Rightarrow 32-x=12.5,\ x=19.5.$

12. South-east point from the previous: By the 2nd theorem,

$18^2=x\cdot 21.6\Rightarrow x=15.$

13. North point=The end.

6 0

3 years ago

Bob gets paid 64 hour heard that is 2/3 Melissa makes how much is Alicia paid per hour

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

4 0

3 years ago

Find the value of x and y<br><br><br>Please help me. Thank you

STatiana [176]

Answer:

Step-by-step explanation:

let each angle=A

A+A+A=180

3A=180

A=180/3=60°

as the angles are equal so sides are equal.

16+y=46

y=46-16=30

applying sine formula

$\frac{30}{sin z} =\frac{46}{sin~80} \\sin~z=\frac{30}{46} \times ~sin~80=\frac{15}{23} \times sin ~80\\z=sin^{-1}( \frac{15}{23} \times sin ~80) \approx~39.96^\circ \approx40^\circ$

z+x=60

40+x=60

x=60-40=20°

5 0

3 years ago

What are the vertices of POR?

cupoosta [38]

Answer is (d) P, Q , R

Any triangle has 3 vertices , after which its name is justified

8 0

3 years ago

Find each angle measure. ( Diagrams are not drawn to scale.)

irina1246 [14]

Answer:

1-141

2-39

3-141

Step-by-step explanation:

180-39=141

1 and 3 look the same size and 2 looks the same as c (39°) so you jsut fill in for the letters

I'm pretty sure this is right

4 0

3 years ago