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3 years ago

May I have the value of x in this triangle?

Mathematics

1 answer:

Oxana [17]3 years ago

4 0

Answer:

c^2 =a^2+b^2

c^2= 25 + 1156

c = 34.37

sin 90/34.37 = sin x/5

sin x= 0.1454

x is 8.36° i think

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Write a system of equations to describe the situation below, solve using substitution, and fill

Lynna [10]

Answer:

The cost must be $32 since that is the only cost possible for the 1st deal

Step-by-step explanation:

Let C represent the total cost of each deal

Let T be the number of trips down the water slide

C = 32 for the 1st deal since the cost is the same regardless of how much she rides

C = 18 + T for the 2nd deal

To find when the two costs are equal set them equal to each other and solve for T

32 = 18 + T

T = 14 trips

The cost must be $32 since that is the only cost possible for the 1st deal

5 0

3 years ago

Find the lengths of the sides of the triangle PQR. P(2, −3, −4), Q(8, 0, 2), R(11, −6, −4) |PQ| = Incorrect: Your answer is inco

Aloiza [94]

Answer:

the length PQ is 9 units,the length QR is 9 units,the length PR is 9.48 units,the triangle is not a right triangle,this is a isosceles triangle

Step-by-step explanation:

Hello, I think I can help you with this

If you know two points, the distance between then its given by:

$P1(x_{1},y_{1},z_{1} ) \\P2(x_{2},y_{2},z_{2})\\\\d=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2}+(z_{2}-z_{1} )^{2} }$

Step 1

use the formula to find the length PQ

Let

P1=P=P(2, −3, −4)

P2=Q=Q(8, 0, 2)

$d=\sqrt{(8-2)^{2} +(0-(-3))^{2}+(2-(-4))^{2}} \\ d=\sqrt{(6)^{2} +(3)^{2}+(6 )^{2}}} \\d=\sqrt{36+9+36}\\d=\sqrt{81} \\d=9\\$

the length PQ is 9 units

Step 2

use the formula to find the length QR

Let

P1=Q=Q(8, 0, 2)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-8)^{2} +(6-0))^{2}+(-4-2 )^{2}} \\\\\\d=\sqrt{(3)^{2} +(6)^{2}+(-6 )^{2}}} \\d=\sqrt{9+36+36}\\d=\sqrt{81} \\d=9\\$

the length QR is 9 units

Step 3

use the formula to find the length PR

Let

P1=P(2, −3, −4)

P2=R= R(11, −6, −4)

$d=\sqrt{(11-2)^{2} +(-6-(-3)))^{2}+(-4-4 )^{2}} \\\\\\d=\sqrt{(9)^{2} +(-6+3)^{2}+(-4-(-4) )^{2}}} \\d=\sqrt{81+9+0}\\d=\sqrt{90} \\d=9.48\\$

the length PR is 9.48 units

Step 4

is it a right triangle?

you can check this by using:

$side^{2} +side^{2}=hypotenuse ^{2}$

Let

side 1=side 2= 9

hypotenuse = 9.48

Put the values into the equation

$9^{2} +9^{2} =9.48^{2}\\ 81+81=90\\162=90,false$

Hence, the triangle is not a right triangle

Step 5

is it an isosceles triangle?

In geometry, an isosceles triangle is a type of triangle that has two sides of equal length.

Now side PQ=QR, so this is a isosceles triangle

Have a great day

3 0

3 years ago

Notation and symbols for fractions cannot be introduced too soon .

Pavel [41]

Answer:

A fraction is a number consisting of one or more equal parts of a unit. It is denoted by the symbol a/b, where a and b≠0 are integers (cf. Integer). The numerator a of a/b denotes the number of parts taken of the unit; this is divided by the number of parts equal to the number appearing as the denominator b.

Step-by-step explanation:

6 0

3 years ago

What is equivalent to 5x+2

svetlana [45]

Not sure I understand this but
5x+2=0
5x = -2
x = -2/5
Or
x = -.4

7 0

3 years ago

What is the relationship between a derivative and an integral?

andrew11 [14]

Answer:

integration is reverse process of differentiation or derivative

Step-by-step explanation:

for example derivative of x^2 is 2x and integral of 2x is x^2

4 0

3 years ago

Read 2 more answers