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umka21 [38]
3 years ago
10

PLEASE HELP ME WITH THANKS :)

Mathematics
2 answers:
Maurinko [17]3 years ago
8 0

Answer

12855.04 ft³

Step-by-step explanation:

regular Octagon consists of 8 congruent triangles

B = (13.28 x 11) / 2 x 8=584.32

V = BH = 584.32 x 22 = 12855.04

LiRa [457]3 years ago
4 0

Answer: 1936 cubic feet.

Step-by-step explanation:

Base × Height . The height is 22 feet. To find the perimeter of the base you multiply 11ft by 8 because there are 8 sides. This equals 88. 88×22 is 1936. I hope this helps.

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The answer to this.
Readme [11.4K]

Answer:

The two column proof is presented as follows;

Step {}     Statement               Reason

1 {}            \overline {AC} ≅ \overline {BD}                Given

{}              ∠CAB ≅ ∠DBA  

2  {}          \overline {AB} ≅ \overline {AB}                Reflexive property

3 {}          ΔABC ≅ ΔBAD        SAS rule of congruency

Step-by-step explanation:

Given that we have;

Segment \overline {AC} of ΔABC being congruent to (≅) segment  \overline {BD} on ΔBAD and angle ∠CAB on ΔABC is congruent to angle ∠DBA on ΔBAD, and also that the two triangles share a common side, which is segment \overline {AB}, we have;

Segment \overline {AB} is congruent to itself by reflexive property, therefore;

Two sides and an included angle on ΔABC are congruent to the corresponding two sides and an included angle on ΔBAD, which by Side-Angle-Side, SAS, rule of congruency, ΔABC is congruent to ΔBAD

7 0
3 years ago
Line m includes the points (-5,3) and (-2,-6). Line n has the same slope as line m and a y intercept of -2/3. Write the equation
KIM [24]
Slope intercept form is y =mx+b. To find your slope since you already know the y-intercept you how to subtract y2-y1 over x2-x1. That is -6-(3) over -2-(-5) but for -2-(-5) you have to keep change change and you'll get 3. then find what -6-(3) is and you have your slope, so just plug it into the equation.
8 0
3 years ago
a gallon of unleaded gasoline weighs about 6 pounds. about how many ounces does 1 quart unleaded of gasoline.
otez555 [7]
1 gallon is 4 quarts. So if 1 gallon is 6 pounds, than a fourth of 6 pounds is the weight of a quart.
6/4 = 1.5 pounds

Now we have to convert 1.5 pounds to ounces. There are 16 pounds in an ounce. 1.5x16 = 24

Answer:
1 quart of unleaded gasoline = 24 ounces
5 0
3 years ago
Solve the oblique triangle where side a has length 10 cm, side c has length 12 cm, and angle beta has measure thirty degrees. Ro
strojnjashka [21]

Answer:

The missing side is B = 6.0\ cm

The missing angles are \alpha = 56.2 and \theta = 93.8

Step-by-step explanation:

Given

A = 10\ cm

C = 12\ cm

\beta = 30

The implication of this question is to solve for the missing side and the two missing angles

Represent

Angle A with \alpha

Angle B with \beta

Angle C with \theta

Calculating B

This will be calculated using cosine formula as thus;

B^2 = A^2 + C^2 - 2ACCos\beta

Substitute values for A, C and \beta

B^2 = 10^2 + 12^2 - 2 * 10 * 12 * Cos30

B^2 = 100 + 144 - 240 * 0.8660

B^2 = 100 + 144 - 207.8

B^2 = 36.2

Take Square root of both sides

B = \sqrt{36.2}

B = 6.0 <em>(Approximated)</em>

Calculating \alpha

This will be calculated using cosine formula as thus;

A^2 = B^2 + C^2 - 2BCCos\alpha

Substitute values for A, B and C

A^2 = B^2 + C^2 - 2BCCos\alpha

10^2 = 6^2 + 12^2 - 2 * 6 * 12 * Cos\alpha

100 = 36 + 144 - 144Cos\alpha

Collect Like Terms

100 - 36 - 144 = -144Cos\alpha

-80 = -144Cos\alpha

Divide both sides by -144

\frac{-80}{-144} = Cos\alpha

0.5556 = Cos\alpha

\alpha = cos^{-1}(0.5556)

\alpha = 56.2 <em>(Approximated)</em>

Calculating \theta

This will be calculated using cosine formula as thus;

C^2 = B^2 + A^2 - 2BACos\theta

Substitute values for A, B and C

12^2 = 6^2 + 10^2 - 2 * 6 * 10Cos\theta

144 = 36 + 100 - 120Cos\theta

Collect Like Terms

144 - 36 - 100 = -120Cos\theta

8 = -120Cos\theta

Divide both sides by -120

\frac{8}{-120} = Cos\theta

-0.0667= Cos\theta

\theta = cos^{-1}(-0.0667)

\theta = 93.8 <em>(Approximated)</em>

4 0
4 years ago
Which angles are remote interior angles?
AlladinOne [14]

Answer:

B: 2 and 3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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