Write 3x 1/2 in radical form

Evaluate the expression for x= 2 and y=4. Enter your answer in the box. 16x + 2x2 - y2

Nostrana [21]

Answer:

24

Step-by-step explanation:

Step 1: Define

x = 2

y = 4

16x + 2x² - y²

Step 2: Substitute and Evaluate

16(2) + 2(2)² - 4²

32 + 2(4) - 16

16 + 8

24

8 0

3 years ago

Suppose an isosceles triangle abc has a=pi/4 and b=c=4. What is the length of a^2?

Zanzabum

The law of cosines states that, if $\alpha$ is the angle between sides b and c,

$a^2 = b^2+c^2-2bc\cos(\alpha)$

So, plugging our values, we have

$a^2 = 16+16-2\cdot 4\cdot 4\cdot\cos\left(\dfrac{\pi}{4}\right)$

This is equal to

$a^2 = 32-32\cdot\dfrac{\sqrt{2}}{2} = 32-16\sqrt{2}$

3 0

3 years ago

Using Triangle Congruence Theorems

kodGreya [7K]

There are a total of five theorems congruent triangles. They are summarized as:

SAS
SSS
AAS
RHS and
ASA.

<h3>What are the definitions of the Theorems of Congruent Triangles?</h3>

SAS - Side Angle Side

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

SSS - Side Side Side Rule

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are proportional to the size three sides of the second triangle.

AAS - Angle Angle Side Rule
Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the comparable angles and sides of another triangle.

ASA - Angle Side Angle rule

According to the ASA rule, two triangles are said to be congruent if any two angles and the side contained between the angles of one triangle are proportional to the size two angles and side included in between angles of the second triangle.

RHS - Right Angle- Hypotenuse side Rule

According to the RHS rule, two right triangles are said to be equivalent if their hypotenuses and one of their sides are identical to those of another right-angled triangle.

Learn more about theorems of congruent triangles at:
brainly.com/question/2102943
#SPJ1

4 0

2 years ago

How would I find angle B for this bridge? What formula would I use?

astraxan [27]

The bridge attached is drawn according to given dimensions, and it doesn't look right. Please double check the given dimensions.

Calculations:
Horizontal part of bottom chord below the 70 degree triangle
= 15.1*cos(70) = 5.16 (which is a major prt of the 6.3 units.
Height of vertical pieces DF and EH
= 15.1*sin(70) = 14.19
Note that structurally, DF and EH do not help in reducing stress on the bridge, since they are perpendicular to the bottom chord.

Therefore
angle B = atan(14.19/(6.3-5.16))=85.41 degrees

I believe the whole geometry does not look right, esthetically, and structurally, since the compression members are much longer than the tension members in the middle. (The vertical members carry no force.)
If you can review the input data, or post a new question, I will be glad to help.

4 0

3 years ago

Read 2 more answers

Solve the equation for theta (0°≤theta<360°)<br><br>2 sin theta = 1

Oduvanchick [21]

Answer:

30 degrees

Step-by-step explanation:

To figure out theta is using a bit of simple trigonometry.

2sin(theta) = 1

= sin(theta) = 0.5

Using arcsin (sin^-1) we can isolate x

x = arcsin(0.5)

x = 30

4 0

2 years ago