All categories

3 years ago

I will give your brainliest for this please

Mathematics

2 answers:

erastova [34]3 years ago

6 0

cos=adj/hyp

=0.5/1.3

CD=0.4

*add CD+BC to find BD

0.4+1.0

BD=1.4cm

sergejj [24]3 years ago

4 0

Answer:

BD = 2.2 cm

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{AB}{CD}$ = $\frac{BC}{DE}$ , substitute values

$\frac{2.4}{CD}$ = $\frac{1.0}{0.5}$ ( cross- multiply )

CD = 1.2

Thus

BD = BC + CD = 1 + 1.2 = 2.2 cm

You might be interested in

The number y of hits a new website receives each month can be modeled by y = 4070ekt, where t represents the number of months th

makvit [3.9K]

Answer:

k = 0.2645

Step-by-step explanation:

Given model:

y = 4070 $e^{kt}$

y = no. of hits website received = 9000 (in 3rd month)

t= no. of months website has been operational = 3

put in the above equation:

9000 = 4070 $e^{3k}$

$\frac{9000}{4070}$ = $e^{3k}$

$\frac{900}{407}$ = $e^{3k}$

Taking natural logarithm on both sides, we get:

$ln\frac{900}{407}$ = $ln(e^{3k})$

$ln\frac{900}{407}$ = 3k lne

lne=1

$ln \frac{900}{407}$ = 3k

or k = $\frac{1}{3}$ $ln\frac{900}{(407)}$

k = $\frac{1}{3}$ (0.7936)

k = 0.2645

7 0

3 years ago

gas mileage is the number of miles you can drive on a gallon of gasoline a test of a new car result in 560 miles on 10 gallons o

jonny [76]

Answer:

you could drive 3600 miles on 60 gallons and 60 miles gas mileage

Step-by-step explanation:

560/10 as a fraction *6/6 as a fraction = 3600/60

7 0

3 years ago

An arithmetic sequence with a thrid term of 8 and constant difference of 5

olga nikolaevna [1]

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=5\\
a_3=8\\
n=3
\end{cases}
\\\\\\
a_3=a_1+(3-1)5\implies 8=a_1+(2)5\implies 8=a_1+10
\\\\\\
\boxed{-2=a_1}
\\\\\\
a_n=-2+(n-1)5$

8 0

3 years ago

John is working part-time in an office. He works 30 hours per week and earns $600 each week. He currently has $2,700 in a saving

Dmitry [639]

The answer is 8 weeks.

7 0

3 years ago

Paula has 54 stickers and 36 pencils that she wants to put in bags. All the bags will have an equal number of stickers and an eq

m_a_m_a [10]

Answer:

18 bags

Step-by-step explanation:

We need to find the greatest common factor

Break each number into its prime components

54 = 9*6 = 3*3*3*2

36 = 6*6 = 3*2*3*3

Find the common terms

3*3*2

The greatest common factor is 18

She can make 18 bags

It will contain 3 stickers and 2 pencils

3 0

3 years ago

Read 2 more answers