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3 years ago

In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AH=4 and HC=1, find BH.

Mathematics

1 answer:

Rudik [331]3 years ago

3 0

Answer:

Length of BH is 2 units.

Step-by-step explanation:

We have, ΔABC with ∠ABC = 90° and an altitude BH.

Also, it is given that the length of sides AH is 4 units and HC is 1 units.

Since, the 'Altitude Rule' states that 'the length of the altitude is the geometric mean of the line segments it bisects'.

So, we get that,

$BH^{2}=AH\times HC$

i.e. $BH^{2}=4\times 1$

i.e. $BH^{2}=4$

i.e. $BH=\pm 2$

Since, the length of the side cannot be negative.

So, length of BH is 2 units.

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Mr.Jimerson earns $24 per hour working. He qualifies for a 15% raise in salary. What is his salary after his raise?

miv72 [106K]

(sorry if this is wrong but hope this helps)

ANSWER: $27.60

STEP BY STEP:

You have to multiply 24 by 15%. Start by changing 15% into a decimal of .15. Then multiply 24 by .15 to get an answer of $3.60. This is how much more Mr. Jimerson will earn. Then add the original amount he earned by the amount the is now gaining. This gets you $27.60.

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3 years ago

A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11). Show clearly that x^2+12x-220=0 solve the equation by

garik1379 [7]

Answer:

$x^2+12x-220=0$ -- Proved

$x = 10\ \ \ x = -22$

Step-by-step explanation:

Given

$Volume = 924cm^3$

$Dimension: 4cm; (x+1)cm; (x+11)cm$

Required

Show that $x^2+12x-220=0$

The volume is calculated as:

$4 * (x + 1) * (x + 11) = 924$

Open the brackets

$(4x + 4) * (x + 11) = 924$

$4x^2 + 44x + 4x + 44 = 924$

$4x^2 + 48x+ 44 = 924$

Collect Like Terms

$4x^2 + 48x+ 44 - 924=0$

$4x^2 + 48x -880=0$

Divide through by 4

$\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0$

$x^2+12x-220=0$

Solving further:

Expand the expression

$x^2 + 22x - 10x - 220 = 0$

Factorize:

$x(x + 22) - 10(x + 22) = 0$

$(x - 10)(x + 22) = 0$

Split:

$x - 10 = 0;\ \ \ x + 22 = 0$

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2 years ago

The product of a number and 50

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Can be written as:

A number (n) times 50

n x 50

The simplest (and most common way) to write it:

50n

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3 years ago

Read 2 more answers

the managers of a corporation were surveyed to determine the background that leads to a successful manager. each manager was rat

lubasha [3.4K]

The probability that the selected manager has no college background and only have a fair look is 0.05625

Table is missing. Attached below.

Given,

We have to find the probability that the selected manager has no college background and only have a fair look;

From the table;

The total number of managers surveyed = 160

Number of managers surveyed are fair = 9

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Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The probability = Number of managers surveyed are fair / The total number of managers surveyed

The probability = 9/160 = 0.05625

That is,

The probability that the selected manager has no college background and only have a fair look is 0.05625

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brainly.com/question/11234923

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