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sveticcg [70]
3 years ago
12

Can you help me with this?

Mathematics
2 answers:
77julia77 [94]3 years ago
3 0

Answer:

the answer is a


Arturiano [62]3 years ago
3 0

let's firstly convert the mixed fractions to improper fractions, and then multiply.


\bf \stackrel{mixed}{8\frac{2}{5}}\implies \cfrac{8\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{42}{5}}~\hfill \stackrel{mixed}{5\frac{1}{2}}\implies \cfrac{5\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{11}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{42}{5}\cdot \cfrac{11}{2}\implies \cfrac{42}{2}\cdot \cfrac{11}{5}\implies 21\cdot \cfrac{11}{5}\implies \cfrac{231}{5}\implies 46\frac{1}{5}

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Given: Triangles ABC and DBC are isosceles, m∠BDC = 30°, and m∠ABD = 155°. Find m∠ABC, m∠BAC, and m∠DBC.
just olya [345]
∠BDC=30, so ∠CBD + ∠BCD=180-30=150
ΔDBC is isosceles, so ∠CBD=∠BCD=half of 150=75
∠ABC=∠ABD-∠CBD=155-75=80
ΔABC is isosceles, so ∠ABC=∠ACB=80
∠BAC=180-80-80=20
7 0
3 years ago
Tiffinay plans to use 275 dollars. She wants to buy 3 pants for 42 each and 5 shirts for 27 dollars each she will pay taxs it wi
Zielflug [23.3K]

Answer:

$7.50

Step-by-step explanation:

$42 × 3 = $126

$27 × 5 = $135

$126 + $135 = $261

$275 - $261 = $14

$14 - $6.50 = $7.50

8 0
3 years ago
Tyrone is the supervisor at a water park. His annual salary is $34540. What is his monthly salary?​
icang [17]

Answer:

the answer I got was 2878.3

8 0
2 years ago
Which expression is equivalent to<br> 3(1 + x) + 7?<br> Ax+-7<br> B) X + 10<br>C)3×+7<br>D)3×+10​
AlladinOne [14]

Answer: D

Step-by-step explanation:

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6 0
2 years ago
Read 2 more answers
Solve the following triangle. Given A=51 degrees b=40 c=45
STALIN [3.7K]

Answer:

a=36.87\ units

B=57.47^o

C=71.53^o

Step-by-step explanation:

step 1

Find the length side a

Applying the law of cosines

a^2=b^2+c^2-2(b)(c)cos(A)

substitute the given values

a^2=40^2+45^2-2(40)(45)cos(51^o)

a^2=1,359.4466

a=36.87\ units

step 2

Find the measure of angle B

Applying the law of sines

\frac{a}{sin(A)} =\frac{b}{sin(B)}

substitute the given values

\frac{36.87}{sin(51^o)} =\frac{40}{sin(B)}

sin(B)=\frac{sin(51^o)}{36.87}{40}

B=sin^{-1}(\frac{sin(51^o)}{36.87}{40})=57.47^o

step 3

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

A+B+C=180^o

substitute the given values

51^o+57.47^o+C=180^o

108.47^o+C=180^o

C=180^o-108.47^o=71.53^o

5 0
3 years ago
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