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3 years ago

As an estimation we are told 5 miles is 8 km.

Mathematics

1 answer:

melamori03 [73]3 years ago

3 0

Answer:

Step-by-step explanation:

52.5 mi(8 km/5mi) = 84 km

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the first term in a geometric series is 64 and the common ratio is 0.75. Find the sum of the first 4 terms in a series.

Rufina [12.5K]

u0 = 64 with u(n+1) = un *0.75

u3 = 64 *0.75^3 = 27

sum is : 64 * ( 0.75^4 -1) / 0.75-1 = 175

manual proof : 64 + 48+36+27 = 175

6 0

3 years ago

Find all the points, if any, where the graph of 12x-5y=0 intersects (x+12)^2+(y-5)^2=169.

WITCHER [35]

I: 12x-5y=0
II:(x+12)^2+(y-5)^2=169

with I:
12x=5y
x=(5/12)y
-> substitute x in II:
((5/12)y+12)^2+(y-5)^2=169
(25/144)y^2+10y+144+y^2-10y+25=169
(25/144)y^2+y^2+10y-10y+144+25=169
(25/144)y^2+y^2+144+25=169
(25/144)y^2+y^2+169=169
(25/144)y^2+y^2=0
y^2=0
y=0

insert into I:
12x=0
x=0

-> only intersection is at (0,0) = option B

6 0

3 years ago

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Eric bought a canoe for $329.99. The sales tax was 5%. What is the total cost including tax?

Olin [163]

Answer:

Step-by-step explanation:

3 0

3 years ago

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Which two statements are missing in steps 3 and 4?

Snezhnost [94]

Answer:

∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.

Step-by-step explanation:

1. $AB=6$ units

$YZ=3$ units

$BC=8$ units

$XY=4$ units, then

$\dfrac{AB}{ZY}=\dfrac{BC}{YX}=2$

2. $\angle B$ and $\angle Y$ are right angles - given

3. $\angle B\cong \angle Y$ two right angles are always congruent.

4. $\triangle ABC\sim \triangle ZYX$ by SAS similarity theorem.

SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

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2 years ago

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Two cylinders. The smaller cylinder has height labeled as 6 cm. The larger cylinder has height labeled as 18 cm.

Yakvenalex [24]

Answer: first option.

Step-by-step explanation:

You know that the height of the smaller cylinder is 6 cm and the height of the larger cylinder is 18 cm, then you can find the volume ratio. This is:

$Volume\ ratio=(\frac{6cm}{18cm})^3\\\\Volume\ ratio=\frac{1}{27}$

Knowing that the volume of the larger cylinder is 40,635 cubic centimeters, you need to multiply it by the volume ratio to find the volume of the smaller cylinder.

Therefore:

$V_{smaller}=\frac{1}{27}(40,635\ cm^3)\\\\V_{smaller}=1,505\ cm^3$

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3 years ago