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lana66690 [7]
2 years ago
9

5. Find the slant height of the square pyramid illustrated below that has a

Mathematics
1 answer:
Andre45 [30]2 years ago
8 0

Answer:

  20 ft

Step-by-step explanation:

The formula for the surface area of a pyramid is often written in terms of the base dimensions and the slant height. We can solve that formula for the slant height.

  SA = base area + lateral area

  SA = b² + 2bs . . . . . where b is the base dimension, and s is the slant height

  SA -b² = 2bs . . . . . subtract the base area

  s = (SA -b²)/(2b) . . . . divide by the coefficient of s

Using the given values for surface area and base length, we find ...

  s = (896 -16²)/(2·16) = 640/32 = 20 . . . feet

The slant height of the pyramid is 20 feet.

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Lines AC←→ and DB←→ intersect at point W. Also, m∠DWC=138° .
mr_godi [17]

m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°

Solution:

Line \overrightarrow{A C} \text { and } \overrightarrow{B D} intersect at a point W.

Given m \angle D W C=138^{\circ}.

<em>Vertical angle theorem:</em>

<em>If two lines intersect at a point then vertically opposite angles are congruent.</em>

<u>To find the measure of all the angles:</u>

∠AWB and ∠DWC are vertically opposite angles.

Therefore, ∠AWB = ∠DWC

⇒ ∠AWB = 138°

Sum of all the angles in a straight line = 180°

⇒ ∠AWD + ∠DWC = 180°

⇒ ∠AWD + 138° = 180°

⇒ ∠AWD = 180° – 138°

⇒ ∠AWD = 42°

Since ∠AWD and ∠BWC are vertically opposite angles.

Therefore, ∠AWD = ∠BWC

⇒ ∠BWC = 42°

Hence the measure of the angles are

m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°.

7 0
3 years ago
A scuba diver was rising back to the surface after taking photos under water. At 2:50 P.M.,
djverab [1.8K]

Answer:

the answer is 11.6 feet

Step-by-step explanation:

you simply subtract the feet of the depth he was at at 2:55pm from his depth at 2:50pm

5 0
3 years ago
I need help for number 5. Plz
iogann1982 [59]
5/3 each friend gets 3/5 of the trail mix
8 0
3 years ago
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What is 2+2 this is just a test
OleMash [197]
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3 years ago
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Can someone help me out ? Don't just guess the answer :(
Monica [59]
1) 2m+6 / m² + 7m - 12  +  (m+2)/(m+4)

= 2(m+3) / (m+4)(m+3)  + (m+2)/(m+4)

= 2/(m+4) + (m+2)/(m+4)

= 2+m+2 / (m+4)

= m+4 / m+4

= 1  [ Option A ]

Answer 2) 3/ (x+4)  + 7/ (x-3)

=  3(x-3) + 7(x+4)/ (x² +x - 12)

= 3x-9 + 7x + 28 / (x² +x - 12)

= 10x + 19 / (x² +x - 12)  [ Option A ]

Hope this helps!
5 0
3 years ago
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