Ask question

Ask question

All categories

wolverine [178]

3 years ago

7

Work out the height of a triangle with base b= 7.7mm and area a=164.78mm2

1 answer:

solong [7]3 years ago

5 0

Answer:

21.4 mm

Step-by-step explanation:

area ÷ base = height

164.78 mm^2 ÷ 7.7 mm

21.4 mm

Check:

base • height = area

7.7 mm • 21.4 mm = 164.78 mm^2

You might be interested in

The second term in a geometric sequence is 20. The fourth term in the same sequence is 45/4 or 11.25. What is the common ratio i

kati45 [8]

$\bf \begin{array}{ccll}
n&term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2&a_2&20\\
3&a_3&20r\\
4&a_4&20rr\\
&&20r^2\\\\
&&\frac{45}{4}
\end{array}\implies \stackrel{4^{th}~term}{20r^2=\cfrac{45}{4}}\implies r^2=\cfrac{45}{80}
\\\\\\
r^2=\stackrel{simplified}{\cfrac{9}{16}}\implies r=\sqrt{\cfrac{9}{16}}\implies r=\cfrac{\sqrt{9}}{\sqrt{16}}\implies r=\cfrac{3}{4}$

4 0

3 years ago

Which of these CAN be a probability of an event. CHOOSE ALL THAT APPLY!*

Kitty [74]

Answer:

0, 0.99 and 0.348483 ( options 5, 4 & 1 )

Step-by-step explanation:

Probability of an event is between 0 & 1, including 0 & 1.

3 0

2 years ago

A team is selling pop corn for a fundraiser. The first week, they sell 500 bags. The second week, they sell 50% more than the fi

Dmitriy789 [7]

Answer:

The percentage decrease from the first week to the third week is 25 %

Step-by-step explanation:

The number of popcorn bags sold on the first week = 500 bags

The second week, they sell 50% more than the first week

So, the number of bags sold on the second week is

= 500 + 50% of 500

= $500 + \frac{50}{100} \times 500$

= $500 + 0.5 \times 500$

= 500 + 250

= 750 bags

The third week, they sold 50% less than the second week

So, the number of bags sold on the third week is

= 750 - 50% of 750

= $750 - \frac{50}{100} \times 750$

= $750 -0.5 \times 750$

= 750 - 375

= 375 bags

Now the percentage decrease from the first week to the third week is

= $\frac{500 - 375}{500} \times 100$

= $\frac{125}{500} \times 100$

= $0.25 \times 100$

= 25 %

4 0

3 years ago

The snow is now 52 inches deep. If this was a 77% decrease, what was the initial depth? What equation can help you find this?

IrinaVladis [17]

Answer:

The required equation is:

0.23x = 52

Hence, option A is true.

Step-by-step explanation:

Given

Let 'x' be the initial depth

The snow is now 52 inches deep and it is a 77% decrease.

Let the initial 'x' depth be represented as 100%.

x → 100%

Given the current 52 inches is a 77% decrease. So, we need to decrease the 77/100 or 0.77 from the initial depth, so

[100% - 77%] of x = 52

[100/100 - 77/100] × x = 52

[1 - 0.77] × x = 52

0.23x = 52

Therefore, the required equation is:

0.23x = 52

Hence, option A is true.

7 0

3 years ago

What would the length of segment BC have to be in order for line BC to be tangent to circle

Tju [1.3M]

Given data:

The first given length is AC=53.

The second given length is AB= 45.

The expression for the Pythagoras theorem is,

$\begin{gathered} AB^2+BC^2=AC^2 \\ (45)^2+BC^2=(53)^2 \\ BC^2=784 \\ BC=28 \end{gathered}$

Here, consider only positive sign of BC length as side cannot negative.

Thus, the BC length is 28.

6 0

1 year ago