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3 years ago

Someone please help me with this geometry proof question ASAP!

Mathematics

1 answer:

vivado [14]3 years ago

8 0

Answer:

if ∠Q=∠R

draw an angular bisector from P to QR in which it intersect wit Qr at point S

now we have two triangle : QPS and RSP

in which angle : QPS=RPS ( PS is angular bisector)

and we have angle Q and angle R are equal

and PS is common side

this makes triangle QPS and RSP are congruent by AAS(angle angle side)

which also means that pQ=PR ( proved)

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Jill and Marcy go to an ice cream store where they have the option of getting a smoothie in either a cylindrical or rectangular

k0ka [10]

Answer: Jill got the larger smoothie and its volume is 1609.14 cubic cm.

Step-by-step explanation:

Since we have given that

Jill purchased the cylindrical container.

Height of container = 8 cm

Radius = 8 cm

So, volume of cylindrical container would be

$\pi r^2h\\\\=\dfrac{22}{7}\times 8\times 8\times 8\\\\=1609.14\ cm^3$

Marcy purchased the rectangular container.

Height of container = 8 cm

Width = 8 cm

Length = 8 cm

so, volume of rectangular container would be

$l\times b\times h\\\\=8\times 8\times 8\\\\=512\ cm^3$

Hence, Jill got the larger smoothie and its volume is 1609.14 cubic cm.

3 0

3 years ago

. You invest £4000 in a fund which earns 11% compound return per year. How much would the fund be worth after 10 years, given th

zmey [24]

Answer: $5,678.85

Step-by-step explanation:

First find out how much the fund was worth after 5 years.

Compound interest formula:

= Investment * (1 + rate) ^ years

= 4,000 * ( 1 + 11%)⁵

= £6,740.23

Half was removed:

= 6,740.23/2

= £3,370.12

Then compound this for the remaining 5 years:

= 3,370.12 * (1 + 11%)⁵

= $5,678.85

7 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Identify the domain for each of the given

avanturin [10]

Step-by-step explanation:

First, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

Then, with the variables defined, we have:

68594 vinyl records were sold in 1958 ---------> f (8) = 68594

91299 vinyl records were sold in 1961 ---------> f (11) = 91299

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4 0

3 years ago

Read 2 more answers

Simplify the expression. 34 • 3

bekas [8.4K]

Answer:

102

Step-by-step explanation:

34*3=102

the dot in the middle is just another way to say that it is multiplying the equation so it just mean that your are multiplying 34 by 3 which is 102

3 0

3 years ago

Verify that the divergence theorem is true for the vector field f on the region

schepotkina [342]

$\mathbf f(x,y,z)=5x\,\mathbf i+xy\,\mathbf j+2xz\,\mathbf k$

$\mathrm{div}(\mathbf f)=\dfrac{\partial(5x)}{\partial x}+\dfrac{\partial(xy)}{\partial y}+\dfrac{\partial(2xz)}{\partial z}=5+x+2x=5+3x$

By the divergence theorem, the flux of $\mathbf f$ across the boundary of $E$ is given by

$\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_E\mathrm{div}(\mathbf f)\,\mathrm dV$

$=\displaystyle\int_{z=0}^{z=2}\int_{y=0}^{y=2}\int_{x=0}^{x=2}(5+3x)\,\mathrm dx\,\mathrm dy\,\mathrm dz=64$

4 0

3 years ago