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3 years ago

Algebraic expression 4 more the p

Mathematics

1 answer:

professor190 [17]3 years ago

7 0

The algebraic expression would be p + 4.

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given right triangle ABC with altitude BD drawn to hypotenuse AC. If BD = 24 nd DC = 12, what is the length of AD?

frutty [35]

Answer:

Step-by-step explanation:

YES IS THE ANSWER BECAUSE X=9

AND 11+3=87

6 0

2 years ago

Find the volume and surface area of the composite figure. Give your answer in terms of π.

irakobra [83]

Answer:

V = 240π cm^3 , S= 168π cm^2

Step-by-step explanation:

The given figure is a combination of hemi-sphere and a cone

Volume:

For volume

r = 6 cm

h = 8 cm

$Volume\ of\ cone = \frac{1}{3}\pi r^2h\\= \frac{1}{3}\pi (6)^2*8\\=\frac{1}{3}\pi *36*8\\=\frac{288}{3}\pi\\=96\pi cm^3 \\\\Volume\ of\ hemisphere = \frac{2}{3}\pi r^3\\=\frac{2}{3}*\pi * (6)^3\\=\frac{2}{3}*\pi *216\\=\frac{432}{3}\\=144\pi cm^3 \\\\Total\ Volume= Volume\ of\ cone + Volume\ of\ hemisphere\\= 96\pi +144\pi \\=240\pi cm^3$

Surface Area:

For this particular figure we have to consider the lateral area of the cone shape and surface area of the hemisphere

We have to find the lateral height

$l = \sqrt{r^2+h^2}\\ l = \sqrt{(6)^2+(8)^2} \\l= \sqrt{36+64}\\ l = \sqrt{100}\\l = 10cm\\\\Surface\ area\ of\ cone = \pi rl\\= \pi (6)(10)\\=\pi *60\\=60 \pi\ cm^2\\\\Surface\ area\ of\ hemisphere = 2\pi r^2\\= 2 \pi * (6)\\= 2 \pi *36\\= 72 \pi\ cm^2\\\\Total\ surface\ Area = Surface\ area\ of\ cone + Surface\ area\ of \ hemisphere\\= 60 \pi + 72 \pi\\=132 \pi\ cm^2$

Hence the first option is correct ..

3 0

3 years ago

Evaluate the expression. Write your answer as a fraction in simplest form. Thank you so much!

ziro4ka [17]

Answer:

$\frac{1}{27}$

Step-by-step explanation:

Using the rule of exponents

$\frac{a^{m} }{a^{n} }$ with n > m

= $\frac{1}{a^{(n-m)} }$ , thus

$\frac{3^{5} }{3^{8} }$ = $\frac{1}{3^{(8-5)} }$ = $\frac{1}{3^{3} }$ = $\frac{1}{27}$

7 0

3 years ago

Can someone help mme

Vanyuwa [196]

Answer:

ok this is that and that is this.hope this helps

5 0

3 years ago

En una asamblea del colegio acuden padres de los cuatro cursos de la ESO. La cuarta parte de los padres son de 1º ESO, la décima

Evgen [1.6K]

Answer:

Parents from the four ESO courses attend a school assembly. A quarter of the parents are from 1st ESO, a tenth are from 2nd ESO, a quarter are from 3rd ESO and 56 parents are from 4th ESO. a) How many parents attended the assembly? b) How many parents from 1ºESO attended the assembly? c) How many parents of 2nd ESO attended the assembly? d) How many 3rd grade parents attended the assembly?

Step-by-step explanation:

8 0

3 years ago