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3 years ago

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Which part of each sentence is a dependent clause? The boys didn’t think Dani could win the race even though she was on the scho

ol track team. Trisha went down to the farmer’s market so she could get some apples. After he was injured by a stray ball, Alex was sent to the nurse’s office. Though he hated Math, Chris tried to do the equations.

Advanced Placement (AP)

1 answer:

astra-53 [7]3 years ago

5 0

The dependent clause of a sentence is a part of a sentence before or after a comma that can't stand alone. the dependent clauses are: " After he was injured by a stray ball," and "Though he hated Math,"

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John is a high school honors student and he takes a college readiness exam. Upon receiving his

disa [49]

Answer:

Situational attribution

Explanation:

John is blaming his performance on environmental factors beyond his control. This is <em>situational attribution</em>.

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Dispositional attribution would assign the cause to some character trait John has.

Fundamental attribution relates to the way an outside observer assigns causes in the situations they observe. Often, they overemphasize dispositional attribution.

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3 years ago

Surface Area of a can is 517.8 cm^2. Maximize the volume of this can using the measured surface area.

mafiozo [28]

Answer:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

Explanation:

Given

Object: Can (Cylinder)

$Surface\ Area = 517.8cm^2$

Required

Maximize the volume

The surface area is:

$S.A = 2\pi r^2 + 2\pi rh$

Substitute 517.8 for S.A

$517.8 = 2\pi r^2 + 2\pi rh$

Divide through by 2

$258.9 = \pi r^2 + \pi rh$

Factorize:

$258.9 = \pi r(r + h)$

Divide through by $\pi r$

$\frac{258.9}{\pi r} = r + h$

Make h the subject

$h = \frac{258.9}{\pi r} - r$ --- (1)

Volume (V) is calculated as:

$V = \pi r^2h$

Substitute (1) for h

$V = \pi r^2(\frac{258.9}{\pi r} - r)$

Open Bracket

$V = 258.9r - \pi r^3$

Differentiate V

$V' = 258.9 - 3\pi r^2$

Set V' to 0

$0 = 258.9 - 3\pi r^2$

Collect Like Terms

$3\pi r^2 = 258.9$

Divide through by 3

$\pi r^2 = 86.3$

Divide through by $\pi$

$r^2 = \frac{86.3}{\pi}$

$r^2 = \frac{86.3*7}{22}$

$r^2 = \frac{604.1}{22}$

Take square root of both sides

$r = \sqrt{\frac{604.1}{22}$

$r = 5.24$

Recall that:

$h = \frac{258.9}{\pi r} - r$

Substitute 5.24 for r

$h = \frac{258.9}{\pi * 5.24} - 5.24$

$h = \frac{258.9*7}{22 * 5.24} - 5.24$

$h = \frac{1812.3}{115.28} - 5.24$

$h = 15.72 - 5.24$

$h = 10.48$

Hence, the dimension that maximize the volume is:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

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Ang pambansang interes ay dapat nating itaguyod upang magkaroon ng pagbabago. Kung magkakanya-kanya tayo, walang pagkakaisa ang mga mamamayan at hindi natin makakamit ang kaunlaran na matagal nating inaasam.

Dapat po sa Brainly.ph po kayo nagtanong

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Answer:

Mesopotamia

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