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satela [25.4K]
3 years ago
5

What is the area of the composite shape

Mathematics
1 answer:
FrozenT [24]3 years ago
5 0

Answer:

Step-by-step explanation:

The shape can be divided into two parts, let use the division in the question

So we have two rectangles

The area of a rectangle is given by l×b.

Let the big rectangle be 1

And the smaller rectangle be 2

Rectangle 1

Length is 16cm, breadth is 6cm

Area=l ×b

Area=16×6

Area=96cm^2

Rectangle two

The length will be 14-6=8cm

And the breadth will be 16-2=14cm

Then,

Area=l ×b

Area=14×8

Area=112cm^2

Total area is

Area1+Area2

112+96

Total area=208cm^2.

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Ellie is numbering her 150 pages scrapbook. how many times will she write the digit 4? ​
Oksi-84 [34.3K]

Answer:

33 ​

Step-by-step explanation:

4,14,24,34,40,41,42,43,44,45,46,47,48,49,54,64,74,84,94,

104,114,124,134,140,141,142,143,144,145,146,147,148,149

3 0
2 years ago
What equation represents the proportional relationship displayed in the table?
KATRIN_1 [288]

Answer:

y=6x

Step-by-step explanation:

Given:

The table is given as:

x   0    4       7       8

y   0    24    42     48

The relationship between 'x' and 'y' is a proportional relationship.

A proportional relationship is one in which one variable varies directly with the other by a factor of 'k' also known as constant of proportionality and k\ne 0

A proportional relationship is given as:

y=kx

Now, we plug in 'x' and 'y' values and find the value of 'k'.

Let x=4\ and\ y=24

24=k\times 4\\\\k=\frac{24}{4}=6

Therefore, the constant of proportionality is 6. Hence the complete equation is given as:

y=6x

3 0
3 years ago
The average customer waiting time at a fast food restaurant has been 7.5 minutes. The customer waiting time has a normal distrib
tatuchka [14]

Answer: C . H_0:\mu\geq7.5 and H_a:\mu

Step-by-step explanation:

Definition:

Null hypothesis(H_0) is a statement about the population parameter according to the objective raised by the researcher . It contains '=' , '≤' and  '≥' signs.

Alternative hypothesis(H_a) is also a statement about the population parameter but against null hypothesis  . It contains '≠' , '<' and  '>' signs.

Let \mu be the average customer waiting time for the population.

Given : The average customer waiting time at a fast food restaurant has been 7.5 minutes.

Objective of test : After using new system ,  the average customer waiting time is at least 7.5 or less than 7.5.

Then, the null and alternative hypothesis for this scenario will be :

H_0:\mu\geq7.5

H_a:\mu

4 0
4 years ago
Please help. 10 points. Please do not guess. Guesses will be reported. Thanks
Allushta [10]

The intersecting secant-tangent theorem says that

AP^2=PT\cdot TO

where T is the point at which line segment PO touches the circle. Similarly,

BP^2=PT\cdot TO

so we have

AP^2=BP^2\implies AP=BP

OP is of course as long as itself, and AO and BO are radii of the same circle so they have the same lengths.

This means triangles APO and BPO are congruent, which means angles APO and BPO are congruent, so angle APB is bisected by PO.

8 0
3 years ago
Precal : Note: Triangle may not be drawn to scale. Suppose a = 3 and A = 15 degrees
drek231 [11]

Given:

In a right triangle at B,

\begin{gathered} a=3 \\ A=15^{\circ} \end{gathered}

To find:

The length of the sides b and c and angle B.

Explanation:

Using the trigonometric ratio,

\begin{gathered} sinA=\frac{a}{c} \\ \sin15^{\circ}=\frac{3}{c} \\ c=\frac{3}{\sin15^{\circ}} \\ c=11.59 \\ c\approx11.6 \end{gathered}

Using the trigonometric ratio,

\begin{gathered} \tan A=\frac{a}{b} \\ \tan15^{\circ}=\frac{3}{b} \\ b=\frac{3}{\tan15^{\circ}} \\ b=11.19 \\ b\approx11.2 \end{gathered}

Using the angle sum property,

The angle B becomes,

\begin{gathered} 90+15+B=180 \\ B=180-90-15 \\ B=75^{\circ} \end{gathered}

Final answer:

The values are,

\begin{gathered} b=11.2 \\ c=11.6 \\ B=75^{\circ} \end{gathered}

3 0
1 year ago
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