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Andreyy89
3 years ago
7

Solve for x in the exponential equation 3^x=8​

Mathematics
1 answer:
KonstantinChe [14]3 years ago
7 0

Answer:

x=1.89278

Step-by-step explanation:

change into a logmarith

log_3 8=x

use change of base formula

put in calculator

x= 1.89278

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Please solve asap i need help
aleksandr82 [10.1K]

Answer:

7 degrees, Because the entire triangle has to add up to a 180 degree triangle

Step-by-step explanation:

3 0
3 years ago
Find the Volume of the cylinder​
JulsSmile [24]

\huge{\underline{\underline{\sf{\red{Required\:Solution:-}}}}}

<h3>Volume of cylinder B is greater.</h3>

<h2>For Cylinder A :-</h2>

\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: \dfrac{7}{2}cm}}

\displaystyle{\sf{\:\:\:\:\:\:\:\:h(height)\:=\: 14cm}}

\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^{2}h}}}

Substitute the values and simplify it

\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= \dfrac{22}{7} \times \bigg(\frac{7}{2}^{2} \bigg)\times14}}

\large{\boxed{\sf{\orange{= 539 cm^{3}}}}}

<h2>For Cylinder B:-</h2>

\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: \dfrac{14}{2}cm=7cm}}

\displaystyle{\sf{\:\:\:\:\:\:\:\:h(height)\:=\: 7cm}}

\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^{2}h}}}

Substitute the values and simplify it.

\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= \dfrac{22}{7} \times (7^{2})\times7}}

\large{\boxed{\sf{\green{= 1078 cm^{3}}}}}

<h3>By actual calculation of volumes of both the cylinders, it is verified that the volumes of cylinder B is greater.</h3>

━━━━━━━━━━━━━━━━━━━━━━━━━━

8 0
3 years ago
Are the polygons similar ?
Lisa [10]

Answer:

yes

Step-by-step explanation:


6 0
3 years ago
A survey of a group’s viewing habits over the last year revealed the following information: (i) 28% watched gymnastics (ii) 29%
almond37 [142]

Answer: D) 52%

Step-by-step explanation:

G = gymnastics

B = baseball

S = soccer

G = 28%

BA = 29%

S = 19%

G and BA = 14%

BA and S = 12%

G and S = 10%

GBS = 8%

So, as we can see at the Venn diagram attached (consider every number in %)

GBS = 8

A = G and S - GBS = 10 - 8 = 2

B = G and BA - GBS = 14 - 8 = 6

C = BA and S - GBS = 12 - 8 = 4

Only G = G - A - B - GBS = 28 - 2 - 6 - 8 = 12

Only BA = BA - B - C - GBS = 29 - 6 - 4 - 8 = 11

Only S = S - A - C - GBS = 19 - 2 - 4 - 8 = 5

So, 2+6+4+12+11+5+8 = 48

100 - 48 = 52%

3 0
4 years ago
Find the exact value of sec (theta) if cot (theta) = -2 and the terminal side of theta lies in quadrant IV.
zmey [24]
We know that
<span>sec (theta)=1/cos (theta)

</span><span>cot (theta) = -2
cot (theta)=cos (theta)/sin (theta)
</span>cos (theta)/sin (theta)=-2----> squaring-----> cos² (theta)/sin² (theta)=4
<span>remember that
sin</span>²(theta)+cos²(theta)=1
sin² (theta)=1-cos² (theta)
substitute
 cos² (theta)/[1-cos² (theta)]=4
cos² (theta)=4*[1-cos² (theta)]-----> cos² (theta)+4 cos² (theta)=4
5*cos² (theta)=4-----> cos² (theta)=4/5----> cos (theta)=2/√5
cos (theta)=(2√5)/5-----> is positive  (IV quadrant)
sec (theta)=1/cos (theta)----> √5/2

the answer is
sec (theta)=√5/2

8 0
4 years ago
Read 2 more answers
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