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IrinaVladis [17]
3 years ago
8

Fill the missing values to make the equations true.

Mathematics
1 answer:
taurus [48]3 years ago
3 0
Logarithm properties:

\displaystyle \log_a b+\log_a c=\log_a (b\cdot c)\\\\\log_ab-\log_a c=\log_a \left( \frac{b}{c} \right)\\\\\log_{a^p}b^q= \frac{q}{p} \log_a b

According to this, we can get:

\displaystyle a)\log_7 3+\log_7 8=\log_7 (3\cdot 8)=\log_724\\\\b) \log_89-\log_85=\log_8  \frac{9}{5}\\\\c)\log_325=2\log_35
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. Un turist a parcurs un traseu în trei zile. În prima zi turistul a parcurs
Dahasolnce [82]

Answer:

The total length of route travelled in 3 days = 30 km

Lungimea traseului parcurs în cele trei zile = 30 km

Step-by-step explanation:

English Translation of the Question

A tourist traveled a route in three days. On the first day the tourist covered 40% of the length of the route, on the second day the tourist covered 5/6 of the remaining distance after the first day, and on the third day the remaining 3 km. Calculate the length of the route traveled in the three days.

Let the total length of the route be x.

Lungimea traseului parcurs în cele trei zile = x

- On the first day, the tourist covers 40% of the total length of the route;

În prima zi turistul a parcurs 40% din lungimea traseului

That is, 40% of x = 0.4x

- On the second day, the tourist covered 5/6 of the remaining journey.

în a doua zi turistul a parcurs 5/6 din distanța rămasă de parcurs după prima zi

The remaining journey after day 1 = x - 0.4x = 0.6x

(5/6) of the remaining journey = (5/6) × 0.6x = 0.5x

- On the third day, the toursit travels the total remaining length of the route = 3 km

iar în a treia zi restul de 3 km

The total remaining length of the route = x - 0.4x - 0.5x = 0.1x

0.1x = 3

x = (3/0.1) = 30 km

The Hope this Helps!!!

3 0
3 years ago
Find the distance between (2,4) and (12, 9) on a coordinate plane. round to the nearest tenth if necessary. *
atroni [7]
Use pythagoras

d = √(Δx² + Δy²)
d = √(12-2)² + (9-4)²
d = √(10² + 5²)
d = √(100 + 25)
d = √125
d = 5√5
d = 5 × 2.236
d = 11.18

The nearest tenth is 11.2, so the distance is near to 11.2
4 0
3 years ago
A recipe shows that yeast needed for a bread recipe 2 1/3 ounces. Which of the following decimals is eqivalent to this number?
Olin [163]
The correct answer is B. 2.3. 

For us to know the equivalent decimals of a fraction, you have to use the numerator as the dividend, and the denominator will be your divisor.

The equation will be:

2 + ( 1 / 3 ) 
2 + (0.33333333)
= 2.333333

If you'll have it rounded off, you'll get the answer 2.3.

8 0
3 years ago
Read 2 more answers
What’s the answer ????
anzhelika [568]
The first one is the answe<span>r.</span>
5 0
3 years ago
f the length of side a is 12 centimeters, m= 36°, and m= 75°, what is the length of side b? Round your response to two decimal p
-Dominant- [34]

Answer:

Option C. is correct

Step-by-step explanation:

In the triangle ABC, vertices are A(12, 8), B(4, 8) and C(4, 14)

AB =

BC =

AC =

In triangle XYZ vertices are X(6,6), Y(4,12) and Z(10, 14)

XY =

YZ =

XZ =

In triangle MNO, vertices are M(4, 16), N(4, 8) and O(-2, 8)

MN =

MO =

NO =

In triangle JKL, vertices are J(14, -2), K(12,2) and L(20, 4)

JK =

KL =

JL =

Now we compare the sides for the congruence

Since AB = MN = 8

BC = NO = 6

AC = OM = 10

So ΔABC ≅ Δ MNO

Option C. is correct

Read more on Brainly.com - brainly.com/question/1747695#readmore

3 0
2 years ago
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